Lesson Practice B 7 - Math...
2
Name ——————————————————————— Date ———————————— Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved. Simplify the expression. Write your answer using exponents. 1. 6 14 } 6 8 2. 14 5 } 14 4 3. (25) 7 } (25) 2 4. 12 5 p 12 3 } 12 4 5. 8 17 } 8 3 p 8 7 6. 1 3 } 4 2 5 7. 1 2 1 } 5 2 6 8. 3 8 p 1 } 3 1 9. 1 1 } 4 2 5 p 4 13 Simplify the expression. 10. 1 } y 9 p y 15 11. z 16 p 1 } z 7 12. 1 a } b 2 8 13. 1 2 6 } z 2 3 14. 1 a 3 } 2b 5 2 4 15. 1 3x 4 } y 6 2 5 16. 1 m 4 } 5n 9 2 3 17. 1 3x 7 } 2y 12 2 4 18. 1 2m 5 } 3n 9 2 5 19. Area The area of New Zealand is 104,454 square miles and the area of Saint Kitts and Nevis, islands in the Caribbean Sea, is 104 square miles. Use order of magnitude to estimate how many times greater New Zealand’s area is than Saint Kitts and Nevis’ area. 20. Cell Phone Subscribers The table below shows the approximate number of cell phone subscribers in selected countries in 2001. Country Algeria Dominican Republic Poland Solomon Islands Number of subscribers 10 5 10 6 10 7 10 3 a. How many times greater is the number of cell phone subscribers in Poland than in the Solomon Islands? b. How many times greater is the number of cell phone subscribers in the Dominican Republic than in the Solomon Islands? 21. Glass Vase You are taking a glass-blowing class and have created a vase in the shape of a sphere. The vase will have a hole in the top so you can put flowers in it and it will sit on a stand. The radius of your vase is 21 } 2 inches. Use the formula V 5 4 } 3 πr 3 to write an expression for the volume of your vase. Practice B For use with the lesson “Apply Exponent Properties Involving Quotients” LESSON 7.2 Algebra 1 Chapter Resource Book 7-18 LESSON 7.2
Transcript of Lesson Practice B 7 - Math...
Name ——————————————————————— Date ————————————
Copy
right
© H
ough
ton
Miffl
in H
arco
urt P
ublis
hing
Com
pany
. All
right
s re
serv
ed.
Simplify the expression. Write your answer using exponents.
1. 614
} 68 2.
145 }
144 3. (25)7
} (25)2
4. 125 p 123
} 124 5.
817 }
83 p 87 6. 1 3 } 4 2 5
7. 1 2 1 } 5 2 6 8. 38 p 1 }
31 9. 1 1 } 4 2 5 p 413
Simplify the expression.
10. 1 }
y9 p y15 11. z16 p 1 }
z7 12. 1 a } b 2
8
13. 1 2 6 } z 2
3 14. 1 a3
} 2b5 2 4 15. 1 3x4
} y6 2 5
16. 1 m4 }
5n9 2 3 17. 1 3x7 }
2y12 2 4 18. 1 2m5 }
3n9 2 5
19. Area The area of New Zealand is 104,454 square miles and the area of Saint Kitts and Nevis, islands in the Caribbean Sea, is 104 square miles. Use order of magnitude to estimate how many times greater New Zealand’s area is than Saint Kitts and Nevis’ area.
20. Cell Phone Subscribers The table below shows the approximate number of cell phone subscribers in selected countries in 2001.
Country Algeria Dominican Republic Poland Solomon Islands
Number of subscribers 105 106 107 103
a. How many times greater is the number of cell phone subscribers in Poland than in the Solomon Islands?
b. How many times greater is the number of cell phone subscribers in the Dominican Republic than in the Solomon Islands?
21. Glass Vase You are taking a glass-blowing class and have created a vase in the
shape of a sphere. The vase will have a hole in the top so you can put flowers in it
and it will sit on a stand. The radius of your vase is 21
} 2 inches. Use the formula
V 5 4 }
3 πr3 to write an expression for the volume of your vase.
Practice BFor use with the lesson “Apply Exponent Properties Involving Quotients”
Les
so
n 7
.2
Algebra 1Chapter Resource Book7-18
Lesson
7.2
CS10_CC_A1_MECR710730_C7L02PB.indd 18 5/13/11 11:42:58 PM
Copy
right
© H
ough
ton
Miffl
in H
arco
urt P
ublis
hing
Com
pany
. All
right
s re
serv
ed.
Lesson Apply Exponent Properties Involving Quotients, continued
Practice Level A
1. quotient of powers 2. power of a quotient
3. quotient of powers 4. 38
} 35 5 3825 5 33
5. 1 3 } 4 2
4 5
34 }
44 6. 86 }
84 p 82 5 86
} 86 5 81 7. 44 8. 93
9. 35 10. (25)1 11. (27)4 12. 15
} 45 13.
57 }
37
14. 29
} 79 15. 43 16. y6 17. z1 18. m4 19. x
3 }
y3
20. a13 }
b13 21.
19 }
z9 22. a. 103 b. 10 c. 102 d. 102
Practice Level B
1. 66 2. 141 3. (25)5 4. 124 5. 87
6. 35
} 45 7.
(21)6
} 56 8. 37 9. 48 10. y6 11. z9
12. a8
} b8 13. 2
216 }
z3 14. a12
} 16b20 15.
243x20 }
y30
16. m12
} 125n27 17. 81x28
} 16y 48
18. 32m25 }
243n45 19. 103
20. a. 104 b. 103 21. 3087π
} 2 in.3
Practice Level C
1. 155 2. 64 3. 2 87
} 97 4. 87 5. 510 6. 2105
7. 2 a7
} b7 8.
81x24 }
y36 9. m42
} 64n60 10.
64a6 }
125b9
11. 49x6
} 64y14 12.
27x11 }
200y6 13. 8x5
} y15 14.
20x14 }
27y13
15. 2 8x17
} 9y35 16. x 5 8, y 5 3; Use the properties
of exponents to write two equations in x and y. Then solve the system of equations.
17. 102 18. 1012 19. π
} 6 ft3;
9π }
16 ft3;
9π }
2 ft3
Study Guide
1. 129 2. (28)4 3. 135 4. w5 5. b7
} c7 6.
81 }
w4
7. 27s15
} t12 8.
9m2 }
n3 9. 10
Interdisciplinary Application
1. t 0 1 2 3 4 5
A(t) 100 50 25 12.5 6.25 3.125
2.
Gra
ms
of
carb
on
5730-year intervals0
020406080
100
1 2 3 4 5 x
y
3. Answers will vary. Sample answer: The amount of carbon-14 left in an object after 50,000 or 60,000 years would be so small that detection would be impossible.
Challenge Practice
1. a 5 1 2. b 5 3, or b 5 1 }
3 3. x 5 1, y 5 4
4. 4 5. 0 6. $65,155.79 7. $63,814.08
8. $265,329.77
Lesson Define and Use Zero and Negative Exponents
Teaching Guide
1. 23
} 23 5 23 2 3 5 20;
23 }
23 5 2 p 2 p 2
} 2 p 2 p 2 5 1
2. 42
} 42 5 42 2 2 5 40;
42 }
42 5 4 p 4
} 4 p 4 5 1
35
} 35 5 35 2 5 5 30;
35 }
35 5 3 p 3 p 3 p 3 p 3
}} 3 p 3 p 3 p 3 p 3 5 1
x4
} x4 5 x4 2 4 5 x0;
x4 }
x4 5 x p x p x p x
} x p x p x p x 5 1
a0 5 1
3. 22
} 24 5 22 2 4 5 222;
22 }
24 5 2 p 2 }
2 p 2 p 2 p 2 5 1 }
22
4. 4 }
42 5 41 2 2 5 421; 4 }
42 5 4 } 4 p 4 5
1 } 4
32
} 35 5 32 2 5 5 323;
32 }
35 5 3 p 3 }} 3 p 3 p 3 p 3 p 3 5
1 }
33
x2
} x4 5 x2 2 4 5 x22;
x2 }
x4 5 x p x } x p x p x p x 5
1 }
x2
a2n 5 1 } an
Practice Level A
1. C 2. A 3. B 4. 1 }
125 5.
1 }
64 6.
1 }
32 7.
1 }
81
8. 2 1 }
9 9. 1 10. 1 11. 1 12. 36 13.
4 }
3
14. 125
} 8 15. undefined 16.
1 }
x5 17. 1 }
m9 18. 6 }
y3
19. 8 }
a10 20. 1 }
81b4 21. x3
} y2 22.
y3
} x4 23.
1 }
ab2
Algebra 1Chapter Resource BookA2
7.3
7.2
an
sw
er
s
CS10_CC_A1_MECR710730_C7AK.indd 2 5/21/11 2:24:15 AM
