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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the set by listing its elements.
1)
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The set of states that border California.
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1)
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_______ A)
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{ Oregon, Nevada, Utah}
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B)
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{ Oregon, Nevada, Arizona} C)
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{ Washington, Utah, Arizona}
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D)
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{ Nevada, Utah}
2)
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The set of letters needed to spell these words: toot, tot, too, to.
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2)
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_______ A)
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{ t, t, o}
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B)
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{ t, t, o, o}
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C)
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{ t, o, o}
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D)
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{ t, o}
3)
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{x ∈ N∣ 0 < x < 4}
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3)
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_______ A)
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{ 1, 2, 3}
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B)
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{ 1, 2, 3, 4} C)
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{ 0, 1, 2, 3}
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D)
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{ 0, 1, 2, 3, 4}
4)
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The set of whole numbers greater than 2 and less than 6.
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4)
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_______ A)
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{ 2, 3, 4, 5, 6}
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B)
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{ 2, 3, 4, 5} C)
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{ 3, 4, 5}
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D)
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{ 3, 4, 5, 6}
5)
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{x∣ x = 5n for some n ∈ N}
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5)
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_______ A)
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∅
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B)
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{ 10, 15, 20, . . .} C)
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{0, 5, 10, 15, . . .}
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D)
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{ 5, 10, 15, . . .}
Write the set in set builder notation. 6)
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{ 7}
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6)
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_______ A)
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{x∣ 7 < x < 7}
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B)
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{x∣ x > 7} C)
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{x∣ x ≤ 7}
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D)
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{x∣ 7 ≤ x ≤ 7}
7)
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{2, 4, 6, 8}
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7)
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_______ A)
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{x ∈ N∣ x is even and x < 10}
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B)
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{x ∈ N∣ x < 10} C)
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{x ∈ N∣ x is even}
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D)
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{x ∈ N∣ x is even and x ≤ 10}
8)
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{ 13, 14, 15, 16}
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8)
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_______ A)
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{x ∈ N∣ 12 < x < 17}
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B)
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{x∣ 13 < x < 16} C)
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{x ∈ N∣ x < 17}
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D)
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{x ∈ N∣ 13 < x < 16}
9)
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{ 10, 15, 20, 25, . . . , 60}
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9)
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_______ A)
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{x∣ x = 5n for n ∈ N} B)
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{x ∈ N∣ x = 5n for n ∈ N and 10 < x < 60} C)
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{x ∈ N∣ x = 5n for n ∈ N and x ≥ 10} D)
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{x ∈ N∣ x = 5n for n ∈ N and 5 < x < 65}
10)
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The odd natural numbers less than 29.
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10)
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______ A)
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{x ∈ N∣x < 29}
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B)
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{x ∈ N∣x < 28} C)
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{x ∈ N∣x is odd and x ≤ 27}
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D)
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{x ∈ N∣x is odd and x ≤ 29}
Let A = {1, 3, 5, 7}, B = {5, 6, 7, 8}, C = {5, 8}, D = {2, 5, 8}, and U = {1, 2, 3, 4, 5, 6, 7, 8}. Decide if the set relationship is true or false.
11)
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C ⊆ D
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11)
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______ A)
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False
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B)
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True
12)
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D ⊆ B
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12)
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______ A)
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False
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B)
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True
13)
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A ≠ {7, 5, 3, 1}
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13)
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______ A)
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False
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B)
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True
14)
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{5} ⊆ D
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14)
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______ A)
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False
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B)
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True
15)
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{0} ⊆ U
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15)
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______ A)
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False
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B)
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True
16)
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C ⊂ D
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16)
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______ A)
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False
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B)
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True
17)
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C ⊂ A
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17)
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______ A)
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True
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B)
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False
Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, w, x, y, z}. List the elements in the following set.
18)
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A ∩
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18)
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______ A)
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{t, v, x}
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B)
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{r, s, t, u, v, w, x, z} C)
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{q, s, t, u, v, w, x, y}
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D)
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{u, w}
19)
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19)
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______ A)
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{r, t, v, x}
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B)
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{t, v, x} C)
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{r, s, t, u, v, w, x, z}
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D)
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{s, u, w}
20)
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______ A)
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{t, v, x}
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B)
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{r, t, u, v, w, x, z} C)
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{s, u, w}
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D)
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{q, s, t, u, v, w, x, y}
21)
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∪ B
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21)
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______ A)
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{r, s, t, u, v, w, x, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, r, s, t, v, x, y, z}C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, s, t, u, v, w, x, y}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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{s, u, w}
22)
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A ∪ (B ∩ C)
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22)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, s, u, w, y, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, w, y} C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, r, w, y, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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{q, y, z}
23)
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A ∩ (B ∪ C)
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23)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, r, w, y, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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{q, y, z} C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, s, u, w, y, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{q, s, w, y}
24)
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∪
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
24)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{s, t}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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{q, r, s, t, u, v, x, z} C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{w, y}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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{q, s, u, v, w, x, y, z}
25)
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∩
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
25)
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______ A)
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{q, r, s, t, u, v, x, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{r, t} C)
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{q, s, u, v, w, x, y, z}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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{w, y}
Draw and shade a Venn diagram that corresponds to the set. 26)
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∩
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26)
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______ A)
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B)
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27)
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∪
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27)
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______ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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28)
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(A ∪ B) ∩
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28)
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______ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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29)
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(A ∩ B) ∪
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29)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
30)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
∩ (A ∪ B)
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30)
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______ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
31)
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( ∪ B) ∩ C
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31)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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32)
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A ∪ (B ∩ )
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32)
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______ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Find the number of subsets. 33)
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{ 8, 9, 10}
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33)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
7
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
6
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
8
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
3
34)
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{x∣x is an even number between 15 and 29}
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34)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
256
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
128
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
6
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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64
35)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{0}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
35)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
2
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
4
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
1
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
0
36)
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{x∣x is a day of the week}
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36)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
127
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
256
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
124
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
128
37)
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{1, 2, 3, . . . , 9}
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37)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
1024
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
512
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
508
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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16
Provide an appropriate response. 38)
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If A ∩ B = A ∩ C, is it necessarily true that B = C?
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38)
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______ A)
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No
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B)
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Yes
39)
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Yes or no? If = for nonempty sets A and B, must
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39)
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______ A)
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Yes
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B)
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No
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
40)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Given the objects revealed below, consider the following definitions.L = {large objects}B = {black objects}T = {triangular objects}Place the objects in the correct regions of the Venn diagram.
Objects:
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40)
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_____________
41)
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Given the objects revealed below, consider the following definitions.S = {small objects}C = {circular objects}B = {black objects}Place the objects in the correct regions of the Venn diagram.
Objects:
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
41)
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_____________
42)
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Given the objects revealed below, consider the following definitions.R = {rectangular objects}S = {striped objects}L = {large objects}Place the objects in the correct regions of the Venn diagram.
Objects:
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
42)
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_____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify by type (cardinal, ordinal, or nominal) the number that appears in the sentence.
43)
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Monti ordered catalog item number 96325.
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43)
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______ A)
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Cardinal
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B)
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Nominal
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C)
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Ordinal
44)
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The baby gained four ounces since his last check-up.
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44)
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______ A)
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Ordinal
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B)
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Cardinal
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C)
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Nominal
45)
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The prize in the raffle is five-hundred dollars.
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45)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Nominal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Ordinal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Cardinal
46)
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Max placed fourteenth in the cross-country race.
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46)
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______ A)
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Nominal
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B)
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Cardinal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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Ordinal
47)
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The physician prescribed five different types of pills for Aunt Martha.
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47)
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______ A)
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Ordinal
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B)
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Nominal
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C)
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Cardinal
48)
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The novel has 594 pages.
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48)
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______ A)
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Nominal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Ordinal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Cardinal
49)
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The math assignment is on page 594.
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49)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
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Nominal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Ordinal
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C)
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Cardinal
50)
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The savings account number is 01059637.
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50)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
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Ordinal
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B)
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Nominal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Cardinal
51)
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Hal's birthday is on the fifteenth day of the month.
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51)
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______ A)
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Nominal
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B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Cardinal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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Ordinal
52)
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Move the box to the fifth floor.
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52)
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______ A)
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Nominal
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B)
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Cardinal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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Ordinal
Decide if the sets are equivalent to one another. 53)
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{ 24, 58, 51, -58} and {x|x is a letter in the phrase "I AM A MAN"}
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53)
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______ A)
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Not equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Equivalent
54)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{ 4, 2, 5, 7} and { -4, 2, -5, 7}
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54)
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______ A)
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Equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Not equivalent
55)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{0, 7, 10, 19} and { 7, 10, 19}
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55)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Not equivalent
56)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{Mon, Tue, Wed} and {Oct, Nov, Dec}
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56)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Not equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Equivalent
57)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{a, b, c, d} and {A, B, C, D}
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57)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Not equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Equivalent
58)
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{0} and { 874}
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58)
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______ A)
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Not equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Equivalent
59)
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∅ and
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59)
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______ A)
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Equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Not equivalent
Use counting to determine the whole number that corresponds to the cardinality of the set. 60)
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A = { 8, 10, 12, 14, 16}
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60)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
16
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
5
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
4
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
2
61)
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A = { 400, 401, 402, . . . , 4000}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
61)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
3601
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
3600
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
4000
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
4
62)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A = {x∣x is a month in the year}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
62)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
1
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
12
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
24
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
52
63)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A = {x∣x is a number on a clock face}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
63)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
12
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
3
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
6
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
24
64)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A = {x∣x is a second in a minute}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
64)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
60
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
120
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Infinite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
12
65)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A = {x∣x ∈ N and 12 ≤ x ≤ 31}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
65)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
18
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
20
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
44
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
43
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Show that the sets are equivalent by carefully describing a one-to-one correspondence between the sets.
66)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
The set of whole numbers and the set of even natural numbers:W ={0, 1, 2, 3, . . . } and E = {2, 4, 6, 8, . . . }.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
66)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
67)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
The set of natural numbers and the set of powers of 6:N = {1, 2, 3, 4, . . . } and { , , , , . . . }.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
67)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide if the set is finite.
68)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{ 6, 7, 8, . . . , 24}
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68)
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______ A)
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Finite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Infinite
69)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{x∣x is a counting number larger than 562}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
69)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Infinite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Finite
70)
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{x∣x is an odd counting number}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
70)
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______ A)
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Finite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Infinite
71)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
{x∣x is a 12-headed lizard}
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
71)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Infinite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Finite
72)
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{whole numbers divisible by 38 and 51}
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72)
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______ A)
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Finite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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Infinite
73)
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{the hairs on your head}
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73)
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______ A)
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Infinite
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Finite
TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. A and B designate finite sets. Decide whether the statement is true or false.
74)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A ∪ B) = n(A) + n(B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
74)
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______
75)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
If A ⊆ B, then n(A) < n(B).
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
75)
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______
76)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
If n(A ∪ B) = n(A), then B ⊂ A.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
76)
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______
77)
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If n(A) > n(B), then A ⊈ B
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
77)
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______
78)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A ∩ B) = n(B ∩ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
78)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______
79)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
79)
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______
80)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A ∩ B) = n(A) - n(B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
80)
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______
81)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A ∪ B) + n(A ∩ B) = n(A) + n(B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
81)
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______
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. Use a Venn diagram to find your answer.
82)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
The subsets A, B, and C of the universe U satisfy the following conditions:n(A) = 70n(B) = 78n(C) = 72n(A ∩ B) = 14n(A ∩ C) = 16n(B ∩ C) = 10n(A ∩ B ∩ C) = 8n( ∩ ∩ ) = 141
Find n(U).
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
82)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
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258
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
329
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
188
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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339
83)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
The subsets A, B, and C of the universe U satisfy the following conditions:n(U) = 202n(A) = 68n(B) = 88n(A ∩ B) = 29n(A ∩ C) = 32n(A ∩ B ∩ C) = 15n( ∩ B ∩ ) = 44n( ∩ ∩ ) = 51
Find n(C).
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83)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
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40
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
24
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
41
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
71
84)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
The subsets A, B, and C of the universe U satisfy the following conditions:n(A ∪ B ∪ C) = 149n(A ∩ B ∩ C) = 20n(A ∩ B) = 42n(A ∩ C) = 39n(B ∩C) = 37n(A) = 101n(B) = 74n(C) = 72n(U) = 149
Find n( ∩ B ∩ C).
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84)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
17
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
19
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
18
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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16
Solve the problem. Use a Venn diagram, as needed. 85)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A local television station sent out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 600 responses with the following results:
180 were interested in an interview show and a documentary, but not reruns; 24 were interested in an interview show and reruns but not a documentary; 84 were interested in reruns but not an interview show; 144 were interested in an interview show but not a documentary; 60 were interested in a documentary and reruns; 36 were interested in an interview show and reruns; 48 were interested in none of the three.
How many are interested in exactly one kind of show?
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85)
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______ A)
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268
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
278
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
298
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
288
86)
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A survey of 220 families showed the following:
83 had a dog; 64 had a cat; 28 had a dog and a cat; 84 had neither a cat nor a dog nor a parakeet; 6 had a cat and dog and a parakeet.
How many had a parakeet only?
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86)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
32
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
17
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
27
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
22
87)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
A survey of a group of 111 tourists was taken in St. Louis. The survey showed the following:
61 of the tourists plan to visit Gateway Arch; 45 plan to visit the zoo; 9 plan to visit the Art Museum and the zoo, but not the Gateway Arch; 12 plan to visit the Art Museum and the Gateway Arch, but not the zoo; 18 plan to visit the Gateway Arch and the zoo, but not the Art Museum; 6 plan to visit the Art Museum, the zoo and the Gateway Arch; 15 plan to visit none of the three places.
How many plan to visit the Art Museum only?
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87)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
______ A)
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45
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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14
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
96
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
33
Provide an appropriate response. 88)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Let A, B, and C be finite sets, with A ⊆ B ⊂ C and n(B) = 3. What are the possible values of n(A) and n(C)?
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88)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A) = 0, 1, or 2; n(A) = 3, 4, 5, . . . B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A) = 1 or 2; n(A) = 3, 4, 5, . . . C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A) = 0, 1, 2, or 3; n(A) = 4, 5, 6, . . . D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
n(A) = 1, 2, or 3; n(A) = 4, 5, 6, . . .
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
89)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Use the concept of cardinality of sets to explain why 2 < 5.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
89)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
90)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Explain why the sets {a, b, c} and {1, 2, 3} are equivalent but not equal.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
90)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
91)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Explain why no one-to-one correspondence can be established between the elements of {4, 7, 9} and {w, x, y, z}.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
91)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
92)
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Let A and B be finite sets. Explain why
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
92)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
93)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Let A and B be finite sets. Explain why
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
93)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
94)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Sets A and B match. Therefore, sets A and B are _________.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
94)
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______ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
equivalent
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
finite C)
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equal
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
All of the above
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
95)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Use number strips to illustrate the transitive property of "less than."
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
95)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____________
96)
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Use sets to illustrate the transitive property of "less than."
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96)
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_____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem.
97)
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Let A = { p, q, r, s, t} and B = { p, r, t, u, v}. Find n(A ∪ B).
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97)
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______ A)
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2
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B)
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3
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C)
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10
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D)
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7
98)
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Let n(A) = 6, n(B) = 13, and n(A ∩ B) = 4. Find n(A ∪ B).
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98)
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______ A)
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14
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B)
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16
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C)
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15
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D)
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19
99)
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Let A = {x∣x is a natural number divisible by 3 and x < 100 }, and let B = {x∣x is a natural number divisible by 11 and x < 100 }. Find n(A ∪ B).
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99)
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______ A)
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42
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B)
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45
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C)
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3
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D)
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39
100)
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Let n(A) = 8, n(B) = 21, and n(A ∪ B) = 25. Find n(A ∩ B).
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100)
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_____ A)
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6
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B)
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4
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C)
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12
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D)
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2
101)
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Let n(B) = 48, n(A ∩ B) = 9, and n(A ∪ B) = 84. Find n(A).
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101)
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_____ A)
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45
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B)
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36
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C)
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47
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D)
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43
102)
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Let n(A) = 15, n(A ∪ B) = 43, and n(A ∩ B) = 11. Find n(B).
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102)
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_____ A)
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38
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B)
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40
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C)
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28
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D)
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39
Answer the question. 103)
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Which property of addition of whole numbers is illustrated?
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103)
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_____ A)
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Additive-identity property B)
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Associative property C)
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Commutative property
104)
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Which property of addition of whole numbers is illustrated?
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104)
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_____ A)
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Associative property B)
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Additive-identity property C)
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Commutative property
105)
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Which property of addition of whole numbers is illustrated?
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105)
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_____ A)
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Associative property B)
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Commutative property C)
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Additive-identity property
106)
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Which property of addition of whole numbers is illustrated?
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106)
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_____ A)
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Commutative property B)
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Additive-identity property C)
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Associative property
107)
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Which property of addition of whole numbers is illustrated?
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107)
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_____ A)
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Additive-identity property B)
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Associative property C)
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Commutative property
108)
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Draw number strips to illustrate 3 + 5 = 8.
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108)
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_____ A)
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B)
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C)
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109)
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Illustrate (3 + 2) + 4 = 3 + (2 + 4) with a number-line diagram.
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109)
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_____ A)
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B)
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C)
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110)
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Illustrate 8 + 0 = 8 with a number-line diagram.
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110)
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_____ A)
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B)
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C)
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111)
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Illustrate 7 + 4 = 11 with a number-line diagram.
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111)
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_____ A)
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B)
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C)
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Determine if the given set of whole numbers is closed under addition. 112)
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{1, 3, 5, 7, . . . }
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112)
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_____ A)
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Not closed
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B)
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Closed
113)
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{ 6}
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113)
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_____ A)
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Closed
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B)
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Not closed
114)
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{0}
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114)
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_____ A)
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Not closed
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B)
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Closed
115)
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{0, 1}
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115)
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_____ A)
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Closed
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B)
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Not closed
116)
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{ 6, 12, 18, 24, . . . }
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116)
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_____ A)
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Closed
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B)
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Not closed
117)
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{n ∈ N|n ≤ 37}
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117)
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_____ A)
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Not closed
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B)
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Closed
118)
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{n ∈ N|n ≥ 59}
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118)
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_____ A)
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Closed
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B)
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Not closed
What property of addition is used in the equality? 119)
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3 + 7 = 7 + 3
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119)
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_____ A)
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Associative property
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B)
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Closure property C)
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Commutative property
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D)
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Additive-identity property
120)
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( 2 + 2) + 1 = 2 + ( 2 + 1)
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120)
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_____ A)
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Closure property
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B)
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Commutative property C)
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Associative property
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D)
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Additive-identity property
121)
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0 + 8 = 8
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121)
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_____ A)
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Commutative property
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B)
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Closure property C)
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Associative property
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D)
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Additive-identity property
122)
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1253 + 23,618 is a whole number
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122)
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_____ A)
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Closure property
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B)
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Additive-identity property C)
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Associative property
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D)
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Commutative property
123)
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21 + ( 34 + 58) = 21 + ( 58 + 34)
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123)
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_____ A)
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Commutative property
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B)
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Closure property C)
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Additive-identity property
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D)
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Associative property
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. What is the fact family that contains the equality?
124)
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8 + 6 = 14
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124)
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____________
125)
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0 + 9 = 9
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125)
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____________
126)
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6 - 1 = 5
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126)
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____________
127)
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1 - 0 =1
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127)
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____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Which subtraction model (take-away, missing addend, comparison, or measurement) corresponds best to the problem?
128)
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Jane has $ 10 in her wallet. If she spends $ 3 on a book, how much money will she have left?
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128)
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_____ A)
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Measurement
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B)
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Take-away C)
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Comparison
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D)
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Missing addend
129)
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Last year the hatch-back model of a new car cost $16,322. This year's model costs $16,383. How much more does this year's model cost?
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129)
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_____ A)
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Comparison
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B)
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Take-away C)
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Measurement
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D)
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Missing addend
130)
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Jim had 15 oranges and gave away 2 of them. How many oranges did he have left?
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130)
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_____ A)
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Comparison
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B)
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Take-away C)
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Missing addend
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D)
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Measurement
131)
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Sonya is driving 520 miles to get home from college. If she drives 305 miles the first day, how many miles remain?
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131)
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_____ A)
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Missing addend
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B)
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Comparison C)
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Take-away
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D)
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Measurement
132)
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Sam drove from home to his grandmother's who lives 209 miles away. On the way back home, he drove 93 miles before his car broke down. How far away from home was he?
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132)
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_____ A)
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Take-away
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B)
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Measurement C)
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Comparison
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D)
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Missing addend
133)
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A coffee can comes packed with enough ground coffee to make 80 cups of coffee. After 35 cups have been made, how many cups of coffee can be made with the remaining ground coffee?
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133)
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_____ A)
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Comparison
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B)
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Measurement C)
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Missing addend
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D)
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Take-away
134)
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Dinah promised to make fruit baskets for her school bazaar. On Monday, she made 136 baskets and on Tuesday, she made 177 baskets. How many more baskets did she make on Tuesday than on Monday?
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134)
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_____ A)
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Take-away
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B)
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Measurement C)
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Missing addend
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D)
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Comparison
Place parentheses, if needed, to turn this into a true statement. 135)
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10 - 4 - 3 = 9
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135)
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_____ A)
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( 10 - 4) - 3 = 9
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B)
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( 10 - 4 - 3) = 9 C)
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10 - ( 4 - 3) = 9
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D)
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No parentheses needed
136)
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10 + 5 - 6 = 9
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136)
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_____ A)
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10 + ( 5 - 6) = 9
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B)
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( 10 + 5 - 6) = 9 C)
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( 10 + 5) - 6 = 9
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D)
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No parentheses needed
137)
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8 - 2 - 5 + 3 = 14
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137)
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_____ A)
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( 8 - 2) - 5 + 3 = 14
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B)
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8 + 2 - ( 5 + 3) = 14 C)
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8 - ( 2 - 5) + 3 = 14
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D)
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No parentheses needed
138)
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10 - 3 - 7 - 1 = 1
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138)
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_____ A)
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( 10 - 3) - 7 - 1 = 1
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B)
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10 - ( 3 - 7) - 1 = 1 C)
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10 - 3 - ( 7 - 1) = 1
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D)
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No parentheses needed
139)
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8 + 10 - 8 + 3 = 7
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139)
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_____ A)
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( 8 + 10) - 8 + 3 = 7
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B)
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8 + 10 - ( 8 + 3) = 7 C)
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8 + ( 10 - 8) + 3 = 7
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D)
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No parentheses needed
Solve the problem. 140)
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Follow the pattern in the first array to fill in the missing entries in the second array.
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140)
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_____ A)
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From upper left to lower right: 10, 33, 43 B)
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From upper left to lower right: 26, 27, 53 C)
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From upper left to lower right: 6, 13, 19
141)
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Follow the pattern in the triangle on the left to place the numbers 4, 5, 6, 7, 8, 9, in the triangle on the right.
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141)
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_____ A)
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B)
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C)
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142)
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Use the pattern of tiles to find the sum of 1 + 3 + 5 + . . . + 201
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142)
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_____ A)
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10,200
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B)
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10,201
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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10,000
Complete the puzzle, as instructed. 143)
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Insert numbers so that all rows, columns, and diagonals sum to the same constant.
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143)
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_____ A)
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B)
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C)
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D)
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144)
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Insert numbers so that all rows, columns, and diagonals sum to the same constant.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
144)
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_____ A)
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B)
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C)
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D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
145)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Insert numbers so that all rows, columns, and diagonals sum to the same constant.
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
145)
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_____ A)
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B)
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C)
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D)
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146)
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Complete the following chart using the numbers 0 to 9, each only once, so that the sum of each of the horizontal rows is 9 and the sum of the numbers in the second column is one more than the sum of the numbers in the first column.
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146)
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_____ A)
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B)
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C)
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D)
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
147)
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Make up a word problem that uses the set model of addition to illustrate 20 + 17.
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147)
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____________
148)
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Make up a word problem that uses the measurement model of addition to illustrate 13 + 25.
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148)
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____________
149)
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Make up a word problem thath uses the comparison model of subtraction to illustrate 25 - 13.
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149)
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____________
150)
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Make up a word problem which uses the missing-addend model of subtraction to illustrate 250 - 130.
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150)
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____________
151)
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Make up a word problem which uses the take-away model of subtraction to illustrate 85¢ - 27¢.
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151)
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____________
152)
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Make up a word problem which uses the measurement model of subtraction to illustrate 18 - 11.
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152)
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____________
153)
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Addition problems arise in everyday living. Make up an addition problem that might occur when planning a party, and name the conceptual model of addition that best corresponds to your problem.
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153)
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____________
154)
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Addition problems arise in everyday living. Make up a subtraction problem that might occur when preparing a meal, and name the conceptual model that best corresponds to your problem.
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154)
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____________
155)
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In order to add 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12, Mary wrote the sum as (5 + 12) + (6 + 11) + (7 + 10) + (8 + 9) = 17 + 17 + 17 + 17 = 68. What properties of addition justify Mary's procedure?
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155)
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____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. What property of multiplication is illustrated in the diagram below?
156)
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The shaded rods represent 2-rods.The unshaded rods represent 3-rods.
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156)
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_____ A)
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Commutative property
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B)
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Closure property C)
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Associative property
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D)
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Distributive property
157)
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157)
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_____ A)
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Associative property B)
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Multiplication-by-zero property C)
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Distributive property D)
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Commutative property
158)
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158)
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_____ A)
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Commutative property
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B)
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Distributive property C)
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Closure property
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D)
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Associative property
159)
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159)
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_____ A)
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Distributive property B)
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Commutative property C)
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Multiplicative-identity property D)
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Associative property
160)
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160)
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_____ A)
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Multiplicative-identity property B)
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Commutative property C)
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Associative property D)
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Distributive property
161)
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161)
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_____ A)
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Multiplication-by-zero property B)
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Multiplicative-identity property C)
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Associative property D)
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Commutative property
162)
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162)
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_____ A)
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Associative property B)
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Commutative property C)
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Distributive property D)
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Multiplicative-identity property
Identify the multiplication model that best fits the problem. Do not solve the problem. 163)
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Suppose there are 2 roads connecting town A to town B and 3 roads connecting town B to town C. In how many ways can a person travel from A to C via B?
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163)
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_____ A)
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Cartesian product model
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B)
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Array model C)
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Set model
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D)
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Measurement model
164)
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How many months are there in 15 years?
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164)
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_____ A)
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Measurement model
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B)
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Cartesian product model C)
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Set model
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D)
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Array model
165)
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Ajay can bike 68 miles a day whil he is on vacation. If he can vacation for 16 days, what is the maximum distance he can cover?
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165)
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_____ A)
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Measurement model
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B)
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Array model C)
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Set model
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D)
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Cartesian product model
166)
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The school band forms 14 rows with 8 members in each row when it marches. How many members are in the school band?
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166)
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_____ A)
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Cartesian product model
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B)
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Measurement model C)
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Set model
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D)
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Array model
167)
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Jama drives 13 miles round trip each day to work. If she works 6 days each week, how many miles each week does she drive to work?
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167)
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_____ A)
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Cartesian product model
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B)
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Measurement model C)
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Array model
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D)
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Set model
168)
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How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed?
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168)
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_____ A)
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Measurement model
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B)
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Array model C)
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Cartesian product model
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D)
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Set model
Illustrate and find the product by the indicated method. 169)
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Use repeated addition on your calculator to find 6 × 378.
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169)
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_____ A)
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378 × 378 × 378 × 378 × 378 × 378 = 2268 B)
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378 + 378 + 378 + 378 + 378 + 378 = 2268
170)
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Use repeated addition on your calculator to find 6384 × 5.
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170)
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_____ A)
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6384 × 5 = 5 × 6384 = 6384 + 6384 + 6384+ 6384 + 6384 = 31,920 B)
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6384 × 5 = 5 × 6384 = 6384 × 6384 × 6384 × 6384 × 6384 = 31,920
171)
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A= {i, a} and B = {t, d, m}. Use a crossing-line pattern to find A × B.
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171)
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_____ A)
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{i, a} × {t, d, m} = 6
B)
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{i, t} × {a, d} × {m} = 8
172)
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A = {0} and B = { 10, 20, 30}. Use a crossing-line pattern to find A × B.
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172)
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_____ A)
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{0} × { 10, 20, 30} = 3
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B)
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{0, 10} × { 20, 30} = 4
173)
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A = { 5, 2, 9, 6} and B = {0, 1}. Use crossing-line pattern to find A × B.
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173)
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_____ A)
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{ 5, 0} × { 2,1} × { 9, 6} = 12
B)
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{ 5, 2, 9, 6} × {0, 1} = 8
Determine if the given set of whole numbers is closed under multiplication. 174)
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{1, 3, 5, 7, . . . }
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174)
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_____ A)
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Closed
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B)
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Not closed
175)
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{1, 2, 3, 4, . . . }
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175)
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_____ A)
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Not closed
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B)
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Closed
176)
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{0, 1}
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176)
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_____ A)
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Not closed
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B)
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Closed
177)
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{1, 2, 3, 4, . . ., 48}
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177)
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_____ A)
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Not closed
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B)
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Closed
178)
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{ 0, 1, 2, 4, 5, 6, . . . } (that is, the whole numbers except for 3)
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178)
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_____ A)
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Closed
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B)
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Not closed
179)
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{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, . . . } (that is, the whole numbers except for 12)
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179)
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_____ A)
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Not closed
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B)
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Closed
180)
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{1, , , , . . . }
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180)
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_____ A)
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Closed
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B)
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Not closed
What property of whole-number multiplication justifies the equality? 181)
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4 ∙ 1 = 4
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181)
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_____ A)
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Commutative property B)
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Multiplicative-identity property C)
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Associative property D)
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Distributive property
182)
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6(x + 6) = 6x + 6 ∙ 6
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182)
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_____ A)
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Commutative property B)
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Distributive property C)
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Associative property D)
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Multiplicative-identity property
183)
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( 9 ∙ 1) ∙ 1 = 9 ∙ ( 1 ∙ 1)
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183)
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_____ A)
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Associative property B)
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Commutative property C)
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Multiplicative-identity property D)
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Distributive property
184)
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0 ∙ 48 = 0
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184)
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_____ A)
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Multiplication-by-zero property B)
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Closure property C)
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Multiplicative-identity property D)
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Commutative property
185)
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68 ∙ 78 = a whole number
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185)
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_____ A)
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Multiplicative-identity property B)
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Commutative property C)
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Closure property D)
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Multiplication-by-zero property
186)
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23 ∙ 656 + 77 ∙ 656 = 100 ∙ 656 = 65,600
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186)
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_____ A)
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Associative property
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B)
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Distributive property C)
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Commutative property
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D)
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Closure property
Use the indicated model of multiplication to illustrate the statement. 187)
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3 ∙ (5 ∙ 2) = (3 ∙ 5) ∙ 2; array model
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187)
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_____ A)
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3 ∙ (5 ∙ 2) has three sets of blocks with 5 rows and 2 columns in each set.
3 sets of these
(3 ∙ 5) ∙ 2 has two sets of blocks with 3 rows and 5 columns in each set.
2 sets of these B)
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3 ∙ (5 ∙ 2) has three sets of blocks with 1 row and 10 columns in each set.
3 sets of these
(3 ∙ 5) ∙ 2 has two sets of blocks with 1 row and 15 columns in each set.
2 sets of these
188)
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(2 ∙ 3) ∙ 4 = 2 ∙ (3 ∙ 4); array model
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188)
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_____ A)
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(2 ∙ 3) ∙ 4 has four sets of blocks with 2 rows and 3 columns in each set.
4 sets of these
2 ∙ (3 ∙ 4) has two sets of blocks with 3 rows and 4 columns in each set.
2 sets of these B)
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(2 ∙ 3) ∙ 4 has six sets of blocks with 1 column and 4 rows in each set.
6 sets of these
2 ∙ (3 ∙ 4) has 12 sets of blocks with 1 column and 2 rows in each set.
12 sets of these
189)
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3 x 4 = 4 x 3; set model
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189)
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_____ A)
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3 x 4 has three sets of four elements each.
4 x 3 has four sets of three elements each.
B)
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3 x 4 has four sets of three elements each.
4 x 3 has three sets of four elements each.
190)
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7 x 1 = 1 x 7; number-line model
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190)
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_____ A)
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7 x 1
1 x 7 B)
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7 x 1
1 x 7
What fact family is associated with the rectangular array? 191)
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527 by 9
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191)
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_____ A)
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527 ∙ 9 = 4743 4743 ÷ 527 = 9 9 ∙ 527 = 4743 4743 ÷ 9 = 527
B)
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527 ∙ 9 = 9 ∙ 527 4743 ÷ 527 = 527 ÷ 4743 4743 ÷ 9 = 9 ÷ 4743
Identify which of three conceptual models of division (repeated subtraction, partition, missing-factor) best corresponds to the problem.
192)
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A group of 4 people wants to buy a boat. The boat costs $256. If they all pay the same amount, how much is each person's share?
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192)
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_____ A)
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Partition B)
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Missing-factor C)
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Repeated subtraction
193)
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The city bridge has 3 lanes, all carrying equal numbers of cars. If 192 cars drive across the bridge, how many cars cross in each lane?
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193)
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_____ A)
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Missing-factor B)
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Partition C)
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Repeated subtraction
194)
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A student arranges to pay off a loan with monthly payments. If the loan is for $1800 and the monthly payment is $225, how many months will it take to pay off the loan?
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194)
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_____ A)
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Partition B)
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Repeated subtraction C)
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Missing-factor
195)
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A wealthy patron dies and leaves her entire estate of 16 million dollars to 4 charities. If each charity receives the same amount, how much does each receive?
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195)
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_____ A)
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Repeated subtraction B)
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Missing-factor C)
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Partition
Use repeated subtraction on your calculator to compute the division problem, where a remainder is possible.
196)
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18 ÷ 3
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196)
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_____ A)
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5 R 2
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B)
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5 R 3
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C)
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6
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D)
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7
197)
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48 ÷ 8
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197)
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_____ A)
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5 R 8
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B)
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6
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C)
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7
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D)
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5 R 7
198)
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312 ÷ 39
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198)
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_____ A)
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8
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B)
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7 R 39
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C)
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9
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D)
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7 R 38
199)
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8635 ÷ 785
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199)
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_____ A)
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11
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B)
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1
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C)
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2
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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12
200)
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327 ÷ 6
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200)
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_____ A)
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54
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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54 R 3
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C)
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57
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D)
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54 R 5
201)
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5493 ÷ 915
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201)
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_____ A)
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6 R 3
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B)
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6 R 2
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C)
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9
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D)
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6
Solve for the unknown whole number in the expression. 202)
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y ÷ 5 = 5 R 2
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202)
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_____ A)
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35
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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25
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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23
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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27
203)
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37 ÷ x = 6 R 1
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203)
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_____ A)
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16
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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6
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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5
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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7
Solve the problem. 204)
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Rewrite the following in the form of a single exponential: ∙
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204)
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_____A)
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42
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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C)
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12
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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205)
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Rewrite the following in the form of a single exponential: ∙
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205)
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_____ A)
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0
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
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30
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
206)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Rewrite the following in the form of a single exponential:
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206)
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_____ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
207)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Rewrite the following in the form of a single exponential: ∙
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
207)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
_____ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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Cannot be simplified
208)
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Write the following as for some whole number m: 4 ∙ 8
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208)
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_____ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
209)
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Write the following as for some whole number m:
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209)
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_____ A)
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Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
210)
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Find the exponent that makes the equation true: = 19,683
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210)
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_____ A)
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18
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
10
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
9
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
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36
211)
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Find the exponent that makes the equation true: = 1,048,576
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211)
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_____ A)
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10
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
50
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
30
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
9
212)
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Find the exponent that makes the equation true: = 32,768
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212)
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_____ A)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
30
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
B)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
13
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
C)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
15
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
D)
Full file at http://TestbankCollege.eu/Test-Bank-Mathematical-Reasoning-for-Elementary-Teachers-5th-Edition-Long
45
213)
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Find the exponent that makes the equation true: = 216.
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213)
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_____ A)
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9
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B)
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18
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C)
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4
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3
Provide an appropriate response. 214)
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What division fact is illustrated by the diagram?
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214)
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_____ A)
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15 ÷ 3 = 5
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B)
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3 x 5 = 5 x 3
215)
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What division fact is illustrated by the diagram?
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215)
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_____ A)
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12 ÷ 4 = 3
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B)
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4 x 3 = 3 x 4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
216)
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Use the distributive property of multiplication over addition for whole numbers to make it easy to compute 7 ∙ 102 mentally.
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216)
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____________
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1)
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A 32)
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A 36)
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B 38)
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A 40)
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41)
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42)
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43)
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B 44)
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B 45)
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C 47)
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C 48)
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C 49)
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B 51)
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C 52)
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C 53)
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A 55)
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B 57)
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B 58)
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B 59)
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B 60)
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B 61)
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A 62)
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A 65)
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B 66)
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The correspondence 0 ↔ 2, 1 ↔ 4, 2 ↔ 6, . . . , w ↔ 2w + 2, . . . shows that the sets are equivalent. 67)
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The correspondence 1 ↔ , 2 ↔ , 3 ↔ , . . . , n ↔ , . . . shows that the sets are equivalent. 68)
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A 69)
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A 70)
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B 71)
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B 72)
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B 73)
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B 74)
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FALSE 75)
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FALSE 76)
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FALSE 77)
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TRUE 78)
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TRUE 79)
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TRUE 80)
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FALSE 81)
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TRUE 82)
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B 83)
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D 84)
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A 85)
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D 86)
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B 87)
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B 88)
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C 89)
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Answers will vary. Sample answer: Let A = {a, b} with n(A) = 2, and let B = {a, b, c, d, e} with n(B) = 5. Since A is a proper subset of B, n(A) < n(B). Therefore, 2 < 5.
90)
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The sets are equivalent because they both have a cardinality of three. The sets are not equal because they do not contain the same elements.
91)
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A one-to-one correspondence cannot be established because the sets do not have the same cardinality. 92)
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Answers will vary. Sample answer: The set contains only the elements of A that are also elements of B. Thus, cannot have more elements than A. Therefore, n(A) ≥ n(A ∩ B).
93)
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Answers will vary. Sample answer: The set contains all of the different elements that are found in either set A or set B. Therefore A cannot have more elements than A ∪ B, and n(A ∪ B) ≥ n(A).
94)
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A 95)
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Answers will vary. Sample answer: is less than and is less than therefore is less than .
96)
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Answers will vary. Sample answer: is less than and is less
than therefore is less than . 97)
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D 98)
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C 99)
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A 102)
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C 104)
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B 105)
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B 106)
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C 107)
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C 108)
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A 109)
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B 115)
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B 116)
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A 117)
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A 118)
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A 119)
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C 120)
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C 121)
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D 122)
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A 123)
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A 124)
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8 + 6 = 14 14 - 8 = 6 6 + 8 = 14 14 - 6 = 8
125)
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0 + 9 = 9 9 - 0 = 9 9 + 0 = 9 9 - 9 = 0
126)
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5 + 1 = 6 6 - 1 = 5 1 + 5 = 6 6 - 5 = 1
127)
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1 + 0 = 1 1 - 0 = 10 + 1 = 1 1 - 1 = 0
128)
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B129)
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A 130)
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B 131)
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A 132)
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B 133)
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B 142)
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B 143)
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C 145)
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D 146)
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D 147)
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Answers will vary. Sample answer: Marta has two boxes of cards. One box contains 20 cards and the other box contains 17 cards. How many cards does Marta have altogether?
148)
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Answers will vary. Sample answer: Sam must travel 13 miles to get to school and an additional 25 miles to get to work. How far must Sam travel altogether?
149)
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Answers will vary. Sample answer: Beth has a collection of 25 dolls and Martha has a collection of 13 dolls. How many more dolls does Beth have in her collection than Amy has in hers?
150)
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Answers will vary. Sample answer: Megan hopes to collect 250 cans of food for the food drive. How many more cans does she need if she already has 130 cans?
151)
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Answers will vary. Sample answer: Carrie starts with 85¢ and spends 27¢ to buy some candy. How much money does Carrie have left?
152)
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Answers will vary. Sample answer: On Wednesday, Benjamin rode 18 miles on the bike trail to his campsite. On Thursday, he rode back 11 miles on the bike trail. How far is Benjamin from where he started his trip?
153)
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Answers will vary. Sample answer: Dan bought 8 balloons for the party at Z-mart and 5 balloons for the party at Nan's Boutique. How many balloons does Dan have altogether from his purchases? The problem illustrates the set model of addition.
154)
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Answers will vary. Sample answer: Uncle Jack plans to bake bread for dinner. His recipe calls for 8 cups of flour. If there are only two cups of flour in the canister, how much more flour does uncle Jack need? This problem illustrates the missing-addend model of subtraction.
155)
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Associative and commutative properties of addition 156)
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A 157)
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C 158)
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B 159)
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B 160)
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B 161)
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D 162)
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B 163)
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A 164)
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C 165)
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A 166)
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D 167)
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B 168)
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C 169)
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B 170)
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A 171)
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A 172)
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A 173)
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B 174)
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A 175)
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B 176)
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B 177)
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A 178)
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A 179)
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A 180)
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A 181)
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B 182)
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B 183)
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A 184)
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A 185)
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C 186)
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B 187)
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A 188)
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A 189)
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A 190)
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A 191)
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A 192)
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A 193)
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B 194)
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B 195)
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C 196)
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C 197)
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B 198)
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A 199)
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A 200)
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B 201)
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A 202)
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D 203)
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B 204)
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D 205)
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C 206)
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C 207)
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C 208)
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C 209)
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C 210)
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C 211)
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A 212)
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C 213)
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D 214)
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A 215)
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A 216)