Mr. McCaffrey's Big Tamale Algebra 1 CST Review...

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Mr. McCaffrey's Big Tamale Algebra 1 CST Review Test. Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. = a. 24 c. b. d. 12 ____ 2. Which expression is equivalent to (f)? a. f c. b. d. f ____ 3. Which expression is equivalent to ? a. 12x c. b. 3x d. ____ 4. a. 512 c. b. 24 d. 2 ____ 5. 2 4 2 7 = a. 2 28 c. 56 b. 2 11 d. 22 ____ 6. = a. 1296 c. 36 b. 324 d. 12 ____ 7. (3 12) = a. 4 c. b. d. 4 ____ 8. If is a true statement, what is the value of a? a. c. b. d.

Transcript of Mr. McCaffrey's Big Tamale Algebra 1 CST Review...

Page 1: Mr. McCaffrey's Big Tamale Algebra 1 CST Review Test.crunchymath.weebly.com/uploads/8/2/4/0/8240213/algebra1.pdf · Mr. McCaffrey's Big Tamale Algebra 1 CST Review Test. Multiple

Mr. McCaffrey's Big Tamale Algebra 1 CST Review Test.

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. =

a. 24 c. b. d. 12

____ 2. Which expression is equivalent to (f)?

a. f c.

b.

d. f

____ 3. Which expression is equivalent to ?

a. 12x c.

b. 3x d.

____ 4.

a. 512 c.

b. 24 d. 2

____ 5. 24 2

7 =

a. 228

c. 56

b. 211

d. 22

____ 6. =

a. 1296 c. 36

b. 324 d. 12

____ 7. (3 12) =

a. –4 c.

b.

d. 4

____ 8. If is a true statement, what is the value of a?

a.

c.

b.

d.

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____ 9. Which expression is equivalent to the opposite of ?

a.

c.

b. x2 d.

____ 10. Which expression is equivalent to s8 s

2?

a. s6 c. 6s

b. s4 d. 4s

____ 11. (23)

2 =

a. 64 c. 12

b. 32 d. 10

____ 12. Which expression is equivalent to (t3)

5?

a. 8t c. t8

b. 15t d. t15

____ 13. If is a true statement, then which of the following must also be true?

a. 2b = a c. = a

b. b2 = a d. = a

____ 14. If g + h = 0 is a true statement, then which of the following must also be true?

a. g = h c. g = h

b. g =

d. g =

____ 15.

a. 108 c. 12

b. 27 d. 3

____ 16. Which equation is equivalent to 7x 8 = 3 6x?

a. 10x = 8 c. 13x = 11

b. –x = –3x d. x = –5

____ 17. Which equation is equivalent to ?

a. –2x = 3 c. –17x = 6

b. –2x = 6 d. –17x = 12

____ 18. Which equation is equivalent to 9x + 10 = 2(2x 4) + 3x?

a. 8 = 14x c. 18 = –2x

b. 14 = –2x d. 2 = 14x

____ 19. Which equation is equivalent to ?

a. 11 – 6x = x – 3 c. 11 – 6x = x

b. 11 – 6x = 2x – 22 d. 11 – 6x = x – 13

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____ 20. Which inequality is equivalent to 3 + 6x 21?

a. 9x 21 c. 6x 18

b. 9x 21 d. 6x 18

____ 21. Which inequality is equivalent to 4x + 13 < 2x + 3?

a. 10 < 6x c. 16 < –2x

b. 10 > 6x d. 16 > –2x

____ 22. Which inequality is equivalent to 3(4 5x) x + 7?

a. 5 6x c. 5 6x

b. 5 16x d. 5 16x

____ 23. Which inequality is equivalent to 6 3(x + 4) 2x?

a. –6 5x c. –6 5x

b. 12 –x d. 12 –x

____ 24. Which equation is equivalent to 7(x + 4) 2(x + 4) = 15?

a. 5x + 4 = 15 c. 5(x + 4) = 15

b. 5 + x + 8 = 15 d. 5x + 8 = 15

____ 25. Which equation is equivalent to 4(3 x) + 3(1 x) = 10?

a. 15 – 2x = 10 c. 4 – 2x = 3

b. –7x = –5 d. –15x = 10

____ 26. Which equation is equivalent to 10 4(x 5) = 11 x?

a. 7x = 16 c. 7x = 41

b. –6 = 3x d. 19 = 3x

____ 27. Which equation is equivalent to 4x + 6(x 7) = 2 + x?

a. 9x = 44 c. 10x = 44

b. 9x = 9 d. 10x = 9

____ 28. Which inequality is equivalent to x < 45 6x + 3?

a. 38x > –3 c. 7x > 48

b. 38x < –3 d. 7x < 48

____ 29. Which inequality is equivalent to ?

a. 6 22x c. –4x 12

b. 6 22x d. –4x 12

____ 30. Which of the following is not an appropriate first step in solving the equation 3x + 7x 4 = 5x + 7?

a. Add 5x to both sides of the equation.

b. Add 4 to both sides of the equation.

c. Substitute 10x for 3x + 7x.

d. Subtract 3x from both sides of the equation.

____ 31. Jack is 3 years younger than Bryden, who is twice as old as Jamal. The sum of the three brothers’ ages is 57.

How old is Jamal?

a. 12 years old c. 21 years old

b. 19 years old d. 24 years old

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____ 32. Solve: 4(x + 3) = 8x – 2(x + 1)

Step 1: 4x + 3 = 8x – 2x + 1

Step 2: 4x + 2 = 6x

Step 3: 2 = 2x

Step 4: 1 = x

Which step is the first incorrect step in the solution shown above?

a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 33. What value of x makes this equation true?

7 + 3(6 – 4x) = –2x

a. x = 1.71 c. x = 10

b. x = 2.5 d. x = 12.5

____ 34. The cost of admission C to a museum exhibit for one teacher and s students is given by the

equation C = 8s + + 12. If the cost of admission for a teacher and his students is $183, how many

students went to the museum?

a. 20 c. 17

b. 18 d. 15

____ 35. What is the solution for 3x – 9 = 2x – 4(x – 1)?

a. x = 1 c. x = 2

b. x = 1.6 d. x = 2.6

____ 36. Solve: 7 – 3(x + 6) = 3x + 5x

Step 1: 7 – 3(x + 6) = 8x

Step 2: 4(x + 6) = 8x

Step 3: x + 6 = 2x

Step 4: x = 6

Which step is the first incorrect step in the solution shown above?

a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 37. What is the solution to this inequality?

–6x – 5 2x + 7

a. x –0.25 c. x –1.5

b. x –0.25 d. x –1.5

____ 38. Which of the following is an appropriate first step in solving the equation?

4(x 2) + 3(x + 2) = 9x = 5?

a. Subtract 2x from both sides of the equation.

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b. Divide each side by 7.

c. Cross off the –2 and +2 since they are opposites.

d. Multiply x – 2 by 4 and x + 2 by 3.

____ 39. During a recent fundraising event, Oscar raised $7.50 more than Anna, who raised $12 less than twice the

amount Marissa raised. The three students raised $96 altogether. How much did Marissa raise?

a. $22.50 c. $32

b. $25.13 d. $33

____ 40. Joanna’s cell phone plan costs $49.99 a month for 500 minutes and $0.45 for each additional minute. The

equation C = 49.99 + 0.45m represents the monthly charges. Last month, Joanna’s bill was $58.99. For how

many extra minutes did she talk on her phone?

a. 2 minutes c. 9 minutes

b. 5 minutes d. 20 minutes

____ 41. What is the solution to this inequality?

3(8 – 2x) + 3 > 9 – 3x

a. x > 6 c. x > –18

b. x < 6 d. x < –18

____ 42. Solve.

11 – (x + 4) = 6x

a. x = –1 c. x = 1

b. x = 0 d. x =

____ 43. The total T that Hima earns in a week if she works h hours of overtime is given by the equation

T = 640 + 20h. If Hima earned $780 last week, how many overtime hours did she work?

a. 6 hours c. 8 hours

b. 7 hours d. 14 hours

____ 44. Which of the following is not an appropriate first step in solving the equation = 10(7 3x)?

a. Multiply 10 by 7. c. Multiply 3x by 10.

b. Multiply 10 by 2. d. Subtract 3 from 7.

____ 45. What is the solution to ?

a. x < –1.8 c. x < 1.8

b. x > 1.8 d. x > 1.8

____ 46. Solve.

4(x + 7) + 2(3x – 2) = 49

Step 1: 4x + 28 + 6x – 4 = 49

Step 2: 10x + 24 = 49

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Step 3: 10x = 25

Step 4: x = 250

Which step is the first incorrect step in the solution shown above?

a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 47. At the Oceanside Sluggers souvenir store, a cap cost $2 less than a T-shirt, and a T-shirt cost $1 more than six

times the cost of a key chain. Diane bought 3 key chains, a T-shirt, and a cap for a total of $30. What was the

cost of one key chain?

a. $4 c. $2

b. $3 d. $1

____ 48. What is the solution to 9(5 – x) 4(x – 3)?

a.

c.

b.

d.

____ 49. Which equation is shown on the graph below?

a. y = x 2

c. y = x 2

b. y = x 3

d. y = x 3

____ 50. What is the x-intercept of the graph of 8x + 12y = –32?

a. –4 c.

b.

d. 4

____ 51. Which graph shows the inequality 4x – 3y –9?

a. c.

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b. d.

____ 52. Which shows the graph of 5x = 4 2y?

a. c.

b. d.

____ 53. Which inequality is shown on the graph below?

a. x + 2y 4 c. 2x + y 4

b. x + 2y 4 d. 2x + y 4

____ 54. What is the y-intercept of the graph of x + y = 5?

a. 20 c. 5

b. 10 d. 2.5

____ 55. What is the x-intercept of the graph of y = 8x – 18?

a. –18 c.

b.

d. 18

____ 56. Which point lies on the line defined by y = 4x – 1?

a. (11, 3) c. (4, –1)

b. (3, 11) d. (–1, 4)

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____ 57. Which is the equation of a line that passes through the point (–1, –1)?

a. y = 1 x c. y = 2 x

b. y = 1 x d. y = 2 x

____ 58. What is the equation of the line that passes through point (–4, 3) and has a slope of –1?

a. y + 3 = (x 4) c. y + 3 = (x 4)

b. y 3 = (x 4) d. y 3 = (x 4)

____ 59. What is the equation of the line that has a slope of and passes through the point (–9, –24)?

a. y = x 30

c. y = x + 30

b. y = x 18

d. y = x + 18

____ 60. What is the equation of the line that passes through points (7, –4) and (–3, 5)?

a. y + 4 = (x 7)

c. y 5 = (x )

b. y 4 = (x 7)

d. y 5 = (x )

____ 61. The data in the table show the height of two stacks of plywood.

If sheets of plywood s were graphed on the horizontal axis, and heights h were graphed on the vertical axis,

what would be the equation of the line that fits these data?

a. h 16 = (s 34)

c. h 34 = (s 16)

b. h 34 = (s 16)

d. h 12 = (s 16)

____ 62. Which table shows two points that lie on the line y – 12 = (x + 3)?

a. c.

b. d.

____ 63. Which point lies on the line defined by y = 16 – x?

a. (13.6, 4) c. (4, 13.6)

b.

d.

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____ 64. Which equation describes a line that passes through the point (6, –8)?

a. x 2y = 13

c. x 2y = 19

b. 2x y = 13

d. 2x y = 19

____ 65. What is the equation of the line that passes through point (–5, 3) and has a slope of 4?

a. y 3 = 4(x + 5) c. y 5 = 4(x + 3)

b. y 3 = 4(x 5) d. y 5 = 4(x 3)

____ 66. What is the equation of the line that passes through points (1, 12) and (–2, –3)?

a. y 3 = 5(x 2) c. y 3 = 9(x 2)

b. y 3 = 5(x 2) d. y 3 = 9(x 2)

____ 67. What is the solution to this system of equations?

a. (–8, –20) c. (–8, –26)

b. (–20, –56) d. (–20, –64)

____ 68. What is the solution to this system of equations?

a. (0, 8) c. infinitely many solutions

b. (0, 4) d. no solution

____ 69. Which point lies in the solution set of this system of inequalities?

a. (0, 1) c. (–3, –3)

b. (–2, 1) d. (0, –4)

____ 70. Which graph shows the solution to this system of equations?

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a. c.

b. d.

____ 71. Which graph best represents the solution to this system of inequalities?

a. c.

b. d.

____ 72. Which system of equations has no solution?

a.

c.

b.

d.

____ 73. Which system of equations has exactly one solution?

a.

c.

b.

d.

____ 74. 4x2 3x + 12 2x

2 + 7x + 16 =

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a. 6x2 28 c. 8x 28

b. 6x2 10x + 28 d. 2x

2 4x + 28

____ 75. 27y3 9y

2 + 3y 1 + 4y

2 2y 1 =

a. 27y3 5y

2 + y 2 c. 22y

2 + y 2

b. 23y 2 d. 27y3 13y

2 + 5y 2

____ 76. 3xy2(2x

2y)

a. 6x2 y

2 c. 6x

3 y

3

b. 3x3 y

5 d. 3x

2 y

4

____ 77. =

a. 4x3 y2

c. 6x3 y2

b.

d.

____ 78. 2(7x2 x + 3) + 4(x

2 + 2x 9) =

a. 4x8 + 22x

4 2x 30 c. 12x

3 + 20x 30

b. 18x2 + 6x 30 d. 18x

2 6x 30

____ 79. (9x2 + 16x 1) 3(x

2 + 8x 2) =

a. 6x2 + 24x 3 c. 6x

2 40x 7

b. 6x2 8x 5 d. 6x

2 8x 7

____ 80. (2x 3)(3x + 4) =

a. 6x2 + 17x 12 c. 6x

2 + 17x 12

b. 6x2 x 12 d. 6x

2 x 12

____ 81. =

a.

c.

b. 8x3 9x

2 + 2x d.

____ 82. 4x(3x2 2y

2 + 2x 4) =

a. 12x3 8xy

2 + 8x

2 16x c. 12x

3 2y

2 + 2x 4

b. 12x3 8y

3 + 8x

2 16x d. 12x

2 8xy

2 8x

____ 83. The area of the rectangle shown below is 65x4y cm

2. Find x.

a. 156 c. 15

b. 40 d. 2.4

____ 84. 9x2y

3 (4y) =

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a. 5x2y

2 c. 5x

2y

4

b. 36x2y

4 d. 36x

2y

2

____ 85. 4xy (2x3y)

2 =

a. 16x6y

3 c. 16x

7y

3

b. 8x6y

3 d. 8x

7y

3

____ 86.

a. 2x8 c.

x5

b. x

8

d. 2x5

____ 87. What is the area of the rectangle?

a. 12x in2 c. 5x in

2

b. 18x3y

4 in

2 d. 45x

3y

4 in

2

____ 88.

a.

c.

b. 6x4 + 4x

3 2x

2 8x d. 6x

4 + 4x

3 10x

____ 89. What is reduced to lowest terms?

a.

c.

b.

d.

____ 90. Simplify to lowest terms.

a.

c. x + 5

b.

d. x 5

____ 91. What is reduced to lowest terms?

a.

c.

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b.

d.

____ 92. Simplify to lowest terms.

a.

c.

b.

d.

____ 93. What is reduced to lowest terms?

a.

c.

b.

d.

____ 94. Simplify to lowest terms.

a.

c.

b.

d.

____ 95. What is reduced to lowest terms?

a.

c. 3x

b.

d. 3

____ 96. Simplify to lowest terms.

a.

c.

b.

d.

____ 97. When is simplified, what is the denominator?

a. x2 9x + 7 c. x – 7

b. x – 7 d. x – 1

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____ 98. Simplify to lowest terms.

a. 2x 3y c.

b.

d.

____ 99. When is simplified, what is the numerator?

a. 2x – 3 c. x – 3

b. 2x + 2 d. x + 3

____ 100. What is reduced to lowest terms?

a.

c.

b.

d.

____ 101.

a.

c.

b.

d. 7x + 9

____ 102. What is the least common denominator of and ?

a. 5x8 + 30x

7 + 9x 54 c. 5x

7 x

3

b. 5x8 + 30x

7 + 9x 54 d. 5x

7 x

3

____ 103.

a.

c.

b.

d.

____ 104. =

a.

c.

b.

d.

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____ 105. =

a.

c.

b.

d.

____ 106.

a.

c.

b. 2x2 + x – 6 d. 2x

2 – x –6

____ 107. For which operation must you first find the least common denominator of the two rational expressions?

a.

c.

b.

d.

____ 108. =

a.

c.

b.

d.

____ 109. Which of the following simplifies to 0?

a.

c.

b.

d.

____ 110. =

a.

c.

b.

d.

____ 111.

a.

c.

b.

d.

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____ 112.

a.

c.

b.

d.

____ 113. What value should be added to both sides of this equation to complete the square?

x2 + 6x = 10

a. –9 c. 4

b. –4 d. 9

____ 114. What are the solutions to the equation x2 – 18 = 3x?

a. –6, –3 c. 6, –3

b. 6, 3 d. –6, 3

____ 115. If you add x2, 16 times x, and 28, the sum is zero. What could be the value of x?

a. 14 c. –7

b. 7 d. –14

____ 116. What quantity should be added to both sides of this equation to complete the square?

4x2 – 10x = 3

a. –25 c.

b. –3 d.

____ 117. What are the solutions for the quadratic equation 3x2 – 13x + 12 = 0?

a. –1, –12 c. , 3

b. 1, 12 d. – , –3

____ 118. Which of the following shows x2 – 8x = 12 after completing the square?

a. (x – 4)2 = 28 c. (x – 4)

2 = 12

b. (x – 8)2 = 28 d. (x – 8)

2 = 12

____ 119. What are the solutions for the quadratic equation x2 + 4x = 12?

a. –2, –6 c. –2, 6

b. 2, –6 d. 2, 6

____ 120. Which of the following shows x3 – 3x

2 – 28x in factored form?

a. (x2 – 7)(x + 4) c. x(x

– 7)(x + 4)

b. (x2

+ 7)(x – 4) d. x(x + 7)(x – 4)

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____ 121. If you add 3 times x2 and 20 times x then subtract 7, the sum is 0. Which could be the value of x?

a.

c.

b. 1 d. 7

____ 122. What is the solution set of the quadratic equation x2 + 2x – 24 = 0?

a. {2, –12} c. {4, –6}

b. {–4, 6} d. No real solution

____ 123. Which of the following shows the quadratic equation x2 – 10x = 7 after completing the square?

a. (x – 5)2 = 7 c. (x – 10)

2 = 7

b. (x – 5)2 = 32 d. (x – 10)

2 = 32

____ 124. What are the solutions for the quadratic equation 5x2 – 4x – 12 = 0?

a. , –3

c. , 2

b. , 3

d. , –2

____ 125. What is the factored form of x2 + bx + 6 if b = 3 + 2?

a. (x + 1)(x + 6) c. (x – 2)(x – 3)

b. (x – 1)(x – 6) d. (x + 2)(x + 3)

____ 126. What is the solution set for the quadratic equation x2 + 3x – 10 = 0?

a. {–2, 5} c. {4, –7}

b. {2, –5} d. {–4, 7}

____ 127. Which is a solution set for the quadratic equation x2 + 15x – 34 = 0?

a. 17 c. –2

b.

d. –17

____ 128. Which is a solution to the quadratic equation x2 + 4 = 21?

a. 4 c. –3

b. 2 d. –7

____ 129. Geraldo can paint a house in 14 hours and Orlando can paint a house in 8 hours. How long would it take the

two of them to paint a house together?

a. just over 6 hours c. just over 5 hours

b. just under 6 hours d. just under 5 hours

____ 130. In mixing some fuel, a scientist combines a 50% ethanol solution with a 90% ethanol solution to get 40 liters

80% ethanol solution. How much of the 50% solution did the scientist use in the mixture?

a. 10 liters c. 14 liters

b. 12 liters d. 30 liters

____ 131. Sasha and Miranda can do the annual spring cleaning of their house in 8 hours. It would take Miranda 12

more hours to clean the house herself than it would Sasha. How long would it take Sasha to clean the house

by herself?

a. 4 hours c. 16 hours

b. 12 hours d. 24 hours

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____ 132. Approximately how much of a 50% salt water solution should be added to 1 liter of unsalted water to create a

26% salt water solution?

a. 0.52 liter c. 1.08 liters

b. 0.92 liter d. 1.32 liters

____ 133. The town of Springfield has a population of 9000. The town recently held a vote to build a new park and 65%

of the town voted in favor of the park. Of those who were in favor, 70% were from West Springfield, and

55% were from East Springfield. How many people from East Springfield voted in favor of the park?

a. 1800 c. 7200

b. 3000 d. 12,000

____ 134. Miguel walks 4 miles in 75 minutes. If he walked at 3.5 miles per hour for the first 30 minutes, how fast did

he walk the rest of the time?

a. 6 miles per hour c. miles per hour

b. 4.5 miles per hour d. 3 miles per hour

____ 135. LaJon buys 3 bags of peanuts, 2 drinks for $2 each and 4 hot dogs for $2.75 each. He spends a total of $24.75.

How much does each bag of peanuts cost?

a. $11.25 c. $3.25

b. $6.70 d. $2.80

____ 136. The difference of a number and twice its reciprocal is . Which of the following could be the number?

a. 6 c.

b. 3 d.

____ 137. Two drivers, starting at the same place, begin driving in opposite directions at the same time. One heads east

at 65 kilometers an hour and the other heads west at 85 kilometers an hour. In how many minutes will they be

375 kilometers apart?

a. 2.5 c. 150

b. 120 d. 225

____ 138. Ben and Victor are building a treehouse. If they each built the treehouse alone, it would take

Ben 15 hours and Victor 20 hours. About how long will it take them to build the treehouse together?

a. 1 hour c. 8.6 hours

b. 5 hours d. 35 hours

____ 139. A store sells apples for $1.75 per pound and oranges for $1. 25 per pound. You bought a 10-pound mixture of

apples and oranges for $14.50. How many pounds of apples did you buy?

a. 4 c. 6

b. 5 d. 8

____ 140. A car driving against the wind goes 45 miles in 75 minutes. It would have traveled the same distance in 65

minutes if there had been no wind. About how fast was the wind blowing?

a. 5.5 miles per hour c. 11.25 miles per hour

b. 10 miles per hour d. 20 miles per hour

____ 141. Below is one step in completing the square to solve a quadratic equation.

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Which equation represents the next step in the solution?

a.

c.

b.

d.

____ 142. Four steps to derive the quadratic formula are shown below.

I

II

III

IV

What is the correct order for these steps?

a. I, II, III, IV c. II, III, I, IV

b. IV, III, II, I d. III, II, IV, I

____ 143. Which step is incorrect in solving a quadratic equation by completing the square?

Step 1:

Step 2:

Step 3:

Step 4:

a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 144. What method is used to derive the quadratic formula?

a. factoring c. completing the square

b. graphing d. long division

____ 145. Complete the following statement.

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The quadratic formula can be used to find the solutions for ? .

a. any polynomial equation with a degree greater than 1

b. any rational equation

c. any quadratic equation

d. a quadratic equation with nonzero constant term

____ 146. Which statement best explains why is there no real solution to the quadratic equation x2 + x + 14 = 0?

a. The value of 12 – (4)(1)(14) is negative.

b. The value of 12 – (4)(1)(14) is equal to 0.

c. The value of 12 – (4)(1)(14) is positive.

d. The value of 12 – (4)(1)(14) is not a perfect square.

____ 147. What is one of the solutions for x2 – 4x = 3?

a.

c.

b.

d.

____ 148. What is the solution set of the quadratic equation 9x2 + 7x + 2 = 0?

a.

c.

b.

d. There are no real solutions.

____ 149. What is one of the solutions to the quadratic equation 3x2 – 8x –2 = 0?

a.

c.

b.

d.

____ 150. What are the solutions of the quadratic equation –2x2 + 5x + = 0?

a. –3,

c.

b.

d. no real solutions

____ 151. Which statement best explains why there is exactly one solution for the quadratic equation

16x2 – 8x + 1 = 0?

a. The value of 82 – (4)(16)(1) is equal to 0. c. The sum of 16, –8, and 1 is greater than 0.

b. The value of 16 is greater than –8. d. The value of 8 – 4 8 1 is less than 0.

____ 152. What are the solutions to the quadratic equation 5x2 – 7x + 1 = 0?

a.

c.

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b.

d. no real solutions

____ 153. Look at the graph of the equation y = x2 + 3x – 4 below.

For what value or values of x does y = 0?

a. x = 1 and x = –4 c. x = 1 only

b. x = –1 and x = 4 d. x = –4 only

____ 154. Which of the following equations is graphed below?

a. y = x2 – x – 3 c. y = x

2 + 2x – 3

b. y = 4x2 – x – 3 d. y = 4x

2 + x – 3

____ 155. Which is the graph of the quadratic equation y = x2 – x – 12?

a. c.

b. d.

____ 156. What are the x-intercepts of the graph of y = x2 + 3x – 10?

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a.

c. –2, 5

b. 2, –5 d.

____ 157. What is the value of b in the quadratic equation y = x2 + bx – 4 if its graph is given below?

a. 4 c. 2 or –2

b. 0 d. 1

____ 158. Which of the following gives the x-intercept(s) of this graph of a quadratic equation?

a. 3, 8 c. 4

b. 8 d. There are no x-intercepts.

____ 159. Which of the following could be the graph of y = x2 + c, if c > 0?

a. c.

b. d.

____ 160. A right triangle with a base length of 5x and a height of x – 4 has an area of 350 square centimeters. What is

the value of x?

a. 10 c. 66

b. 14 d. 70

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____ 161. Dahlia drops a ball from the roof of a 928-foot-tall building. Use the equation d = 16t2, where d = the distance

the ball drops and t = time in seconds, to determine approximately how long it will take for the ball to reach

the ground.

a. 4 seconds c. 30.2 seconds

b. 7.6 seconds d. 58 seconds

____ 162. The length of a rectangle is 2 less than 3 times the width. If the area is 96 square inches, what is the length of

the rectangle?

a. 5 inches

c. 14 inches

b. 6 inches d. 16 inches

____ 163. Aisha opens a savings account with $1200. After two years during which she makes no withdrawals and no

additional deposits, she has $1323 in her account. Use the equation A = P(1 + r)2, where P is the initial

amount in the account, to determine the interest rate r.

a. 1.10 c. 0.05

b. 0.91 d. –0.047

____ 164. A diver jumps off of the 10-meter-high board with an upward velocity of 15 meters per second. Use the

formula d = –5t2 + 15t + 10, where d is the distance of the dive and t is the time in seconds, to determine

approximately how long it takes for the diver to hit the water.

a. 0.3 second c. 3.6 seconds

b. 2.35 seconds d. 4.4 seconds

____ 165. Peter is building a rectangular deck that has a width 3 feet less than its length. The area of the deck will be

270 square feet. What are the dimensions of the deck?

a. width is 15 feet, length is 18 feet c. width is 12 feet, length is 15 feet

b. width is 18 feet, length is 21 feet d. width is 15 feet, length is 12 feet

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Mr. McCaffrey's Big Tamale Algebra 1 CST Review Test.

Answer Section

MULTIPLE CHOICE

1. ANS: A PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

2. ANS: D PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

3. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

4. ANS: D PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

5. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

6. ANS: D PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

7. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

8. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

9. ANS: D PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

10. ANS: A PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

11. ANS: A PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

12. ANS: D PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

13. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

14. ANS: C PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

15. ANS: B PTS: 1 STA: [Key]2.0 MSC: CAHSEE | Key

16. ANS: C PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

17. ANS: D PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

18. ANS: C PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

19. ANS: B PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

20. ANS: D PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

21. ANS: A PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

22. ANS: B PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

23. ANS: A PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

24. ANS: C PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

25. ANS: B PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

26. ANS: D PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

27. ANS: A PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

28. ANS: D PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

29. ANS: C PTS: 1 STA: [Key]4.0 MSC: CAHSEE | Key

30. ANS: A PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

31. ANS: A PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

32. ANS: A PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

33. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

34. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

35. ANS: D PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

36. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

37. ANS: C PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

38. ANS: D PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

39. ANS: A PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

40. ANS: D PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

41. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

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42. ANS: C PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

43. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

44. ANS: D PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

45. ANS: A PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

46. ANS: D PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

47. ANS: C PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

48. ANS: B PTS: 1 STA: [Key]5.0 MSC: CAHSEE | Key

49. ANS: C PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

50. ANS: A PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

51. ANS: D PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

52. ANS: B PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

53. ANS: B PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

54. ANS: A PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

55. ANS: C PTS: 1 STA: [Key]6.0 MSC: CAHSEE | Key

56. ANS: B PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

57. ANS: C PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

58. ANS: B PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

59. ANS: A PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

60. ANS: A PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

61. ANS: C PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

62. ANS: A PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

63. ANS: C PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

64. ANS: C PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

65. ANS: A PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

66. ANS: B PTS: 1 STA: [Key]7.0 MSC: CAHSEE | Key

67. ANS: B PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

68. ANS: D PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

69. ANS: A PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

70. ANS: C PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

71. ANS: D PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

72. ANS: D PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

73. ANS: D PTS: 1 STA: [Key]9.0 MSC: CAHSEE | Key

74. ANS: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

75. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

76. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

77. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

78. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

79. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

80. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

81. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

82. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

83. ANS: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

84. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

85. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

86. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

87. ANS: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

88. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key

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89. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key

90. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key

91. ANS: D PTS: 1 STA: [Key]12.0 MSC: Key

92. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key

93. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key

94. ANS: C PTS: 1 STA: [Key]12.0 MSC: Key

95. ANS: C PTS: 1 STA: [Key]12.0 MSC: Key

96. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key

97. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key

98. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key

99. ANS: D PTS: 1 STA: [Key]12.0 MSC: Key

100. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key

101. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key

102. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key

103. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key

104. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key

105. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key

106. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key

107. ANS: D PTS: 1 STA: [Key]13.0 MSC: Key

108. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key

109. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key

110. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key

111. ANS: D PTS: 1 STA: [Key]13.0 MSC: Key

112. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key

113. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

114. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key

115. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

116. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

117. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key

118. ANS: A PTS: 1 STA: [Key]14.0 MSC: Key

119. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key

120. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key

121. ANS: A PTS: 1 STA: [Key]14.0 MSC: Key

122. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key

123. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key

124. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key

125. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

126. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key

127. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

128. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key

129. ANS: C PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

130. ANS: A PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

131. ANS: B PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

132. ANS: C PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

133. ANS: B PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

134. ANS: D PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

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135. ANS: C PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

136. ANS: B PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

137. ANS: C PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

138. ANS: C PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

139. ANS: A PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

140. ANS: A PTS: 1 STA: [Key]15.0 MSC: CAHSEE | Key

141. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key

142. ANS: B PTS: 1 STA: [Key]19.0 MSC: Key

143. ANS: B PTS: 1 STA: [Key]19.0 MSC: Key

144. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key

145. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key

146. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key

147. ANS: C PTS: 1 STA: [Key]20.0 MSC: Key

148. ANS: D PTS: 1 STA: [Key]20.0 MSC: Key

149. ANS: B PTS: 1 STA: [Key]20.0 MSC: Key

150. ANS: C PTS: 1 STA: [Key]20.0 MSC: Key

151. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key

152. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key

153. ANS: A PTS: 1 STA: [Key]21.0 MSC: Key

154. ANS: B PTS: 1 STA: [Key]21.0 MSC: Key

155. ANS: C PTS: 1 STA: [Key]21.0 MSC: Key

156. ANS: B PTS: 1 STA: [Key]21.0 MSC: Key

157. ANS: B PTS: 1 STA: [Key]21.0 MSC: Key

158. ANS: C PTS: 1 STA: [Key]21.0 MSC: Key

159. ANS: B PTS: 1 STA: [Key]21.0 MSC: Key

160. ANS: B PTS: 1 STA: [Key]23.0 MSC: Key

161. ANS: B PTS: 1 STA: [Key]23.0 MSC: Key

162. ANS: D PTS: 1 STA: [Key]23.0 MSC: Key

163. ANS: C PTS: 1 STA: [Key]23.0 MSC: Key

164. ANS: C PTS: 1 STA: [Key]23.0 MSC: Key

165. ANS: A PTS: 1 STA: [Key]23.0 MSC: Key