mr. mccaffrey's big tamale summative math cst...

Mr. McCaffrey's Big Tamale Summative Math CST Review Test PART I.

Multiple Choice

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

____ 1. What is the complete solution to the inequality |5x 6| > 9?

a. x > or x < 3

c. x > 3 or x <

b. x > 3 or x <

d. x < 3 or x >

____ 2. What is the complete solution to the equation |9 2x| = 15?

a. x = 3; x = 12 c. x = 3; x = 12

b. x = 12; x = 3 d. There are no solutions.

____ 3. What is the complete solution to the equation |x 12| = 20?

a. x = 32; x = 8 c. x = 32; x = 8

b. x = 32; x = 8 d. There are no solutions.

____ 4. What is the complete solution to the equation |3 4x| + 2 = 0?

a. x = ; x =

c. x = ; x =

b. x = ; x =

d. There are no solutions.

____ 5. What is the complete solution to the equation |x 2| + 2x = 1?

a. x = 1 c. x = 1

b. x = 1 or x = 1 d. There are no solutions.

____ 6. What is the complete solution to the equation 12 2|2 5x| 8?

a. x 0 and x

c. x 0 and x

b. x 0 and x


____ 7. What is the solution to the system of equations shown below?

9x + 3y + 3z = 12

27x + 9y + 9z = 36

3x y z = 4

a. no solutions c.

b. infinitely many solutions d. (0, 4, 0)

____ 8. Which system of equations has (3, 1) as a solution?

a. 2x + y = 5 3x + y = 8

c. 4x + 5y = 7

2x 3y = 9

b. 4x 5y = 17

x 3y = 0

d. 2x y = 7

x 4y = 14

____ 9. The perimeter of a playground is 210 yards. What is the width if the length is 3 yards less than 3 times

the width?

a. 27 yards c. 52 yards

b. 35 yards d. 78 yards

____ 10. What is the solution to the system of equations shown below?

2a 3b = 2

2a + b = 6

a. a = 5; b = 4 c. a = 5; b = 4

b. a = ; b =


____ 11. What system of inequalities best represents the graph shown below?

a. 2x + 3y < 0 and x y 5 c. 2x + 3y < 0 and x y 5

b. 2x + 3y 0 and x y < 5 d. 2x + 3y > 0 and x y 5

____ 12. Which is the inverse of the coefficient matrix for the following system of equations?

x + 3y = 6

2x y = 5

a.

c.

b.

d.

____ 13. What system of equalities best represents the graph shown below?

a. y = 3x + 7 and y = 2x c. y = 3x + 7 and y =

b. y = 3x 7 and y =

d. y = 3x + 7 and y =

____ 14. A baseball team’s manager buys 70 balls for $260. The balls used for practice cost $3.50 each, and the balls

used in games cost $4.25 each. How many game balls did the manager buy?

a. 20 c. 30

b. 25 d. 50

____ 15. Which matrix equation represents the following system of equations?

3x + 2y + z = 5

x 4y + 6z = 0

5x + y 7z = 12

a.

c.

b.

d.

____ 16. What is the sum when (6x2 2x + 5) is added to (3x

2 + 4x 9)?

a. 9x2 6x + 14 c. 3x

2 + 2x 4

b. 3x2 2x + 4 d. 3x

2 + 2x + 4

____ 17.

a. 2x 3 +

c. 2x + 3

b. 2x 3 d. 2x2 + 3x + 12

____ 18. Which polynomial represents (5a 3b)(3a 7b)?

a. 15a2 + 26ab 29b

2 c. 15a

2 + 21b

2 26ab

b. 15a2 + 21b

2 + 26ab d. 8a

2 26ab + 29b

2

____ 19. (3a2 + 3a 6) 3(4a

2 7a + 6) =

a. 9a2 18a + 12 c. 15a

2 18a + 24

b. 15a2 + 24a 24 d. 15a

2 4a

____ 20. What is (27m2n 9mn

2 + 3mn) ÷ (3m)?

a. 9mn + 3n2 + n c. 9mn 3n

2 + n

b. 9m2n 3mn

2 + n d. 9mn + 3n

2 – n

____ 21.

a. 2t2 16 c.

2t2 + 6t + 18 +

b. 2t

2 + 6t + 18 +

d. 2t

2 + 6t + 18 +

____ 22.

a. 15x3 + 9x

2 c. 15x

3 9x

2

b. 15x3 + 6x

2 d.

____ 23. What is the remainder when x2 6x + 9 is divided by x 4?

a. 0 c. 5

b. 1 d. 17

____ 24. Which polynomial represents (ab 9)2?

a. a2b

2 18ab + 81 c. a

2b

2 9a 9b + 81

b. 2a2b

2 81 d. a

2 + b

2 9a 9b + 81

____ 25. a2by ab

2x 3abz a

2by + 7a

2bx =

a. 3a2b(2x z) c. 2a

2by 6ab

2x 3abz

b. 6ab2x 3abz d. 3ab(2ax z)

____ 26. =

a. 2x 5 +

c. 2x + 5

b. 2x + 5 +

d. 2x + 6

____ 27. Which values for a, b, and c will make the sum of ax2 + bx + c and 2x

2 + 3x 8 equal 0?

a. a = 2; b = 3; c = 8 c. a = 0; b = 0; c = 8

b. a = 2; b = 3; c =

d. a = 2; b = 3; c = 8

____ 28. Which polynomial represents (x + 2y)(x + 3y)(x y)?

a. x3 + 5x

2y + 6y

3 c. x

3 + 4xy 6y

3

b. x3 + 4x

2y + xy

2 6y

3 d. x

3 + 4x

2y + 11xy

2 6y

3

____ 29. Which polynomial represents (2d2 + 3cd c

2) subtracted from (6d

2 7c

2)?

a. 4d2 3cd 6c

2 c. 4d

2 3cd 6c

2

b. 8d2 + 3cd 8c

2 d. 4d

2 + 3cd 8c

2

____ 30. 3(2p3 7p

2 1) (8p

3 + 10p

2 + 6) =

a. 2p3 + 3p

2 + 5 c. 10p

3 16p

2

b. 2p3 + 16p

2 + 6 d. 2p

3 26p

2 – 6

____ 31. =

a. x2y 4y c. 6x

2y 9y + 9xy

2

b. 3x2y 4y + 2xy

2 d. 3x

2y + 4y 2xy

2

____ 32. Which product of factors is equivalent to 16y2 24y + 9?

a. (4y 3)(4y 3) c. (4y + 12)(4y + 12)

b. (4y + 3)(4y + 3) d. (4y 9)(4y 1)

____ 33. What is the complete factorization of 9m2 36n

2?

a. (3m 6n)(3m 6n) c. 9(m 2n)(m + 2n)

b. 27(m n)(m + n) d. 3(3m 6n)(m + 6n)

____ 34. Which product of factors is equivalent to 8s3 + r

3?

a. (8s + r)(s2 sr + r

2) c. (2s r)(4s

2 + 2sr + r

2)

b. (2s + r)(4s2 2sr + r

2) d. (2s + r)(4s

2 + 2sr r

2)

____ 35. p3 w

3 =

a. (p w)(p2 + pw + w

2) c. (p w)(p w)(p + w)

b. (p + w)(p2 + pw + w

2) d. (p w)(p

2 + w

2)

____ 36. Which product of factors is equivalent to x2

+ 13x + 30?

a. (x + 2)(x + 15) c. (x + 3)(x + 10)

b. (x + 5)(x + 6) d. (x 15)(x + 2)

____ 37. What is the complete factorization of 4x5y + 8x

4y

3 + 2x

3y

2 4x

2y

4?

a. 2x2y(2y

2 x)(2x

2 y) c. 2x

2y(2y

2 + x)(2x

2 + y)

b. 2x2y(2y

2 x)(2x

2 y) d. 2x

2y(2x

2 x)(2y

2 y)

____ 38. Which product of factors is equivalent to 8x2 + 12x + 18?

a. 2(3x + 2)(3x + 2) c. 2(3x 2)(3x 2)

b. 2(2x 3)(2x 3) d. 2(2x + 3)(2x + 3)

____ 39. The total area of a rectangle is 3n2 + 9n + 6. Which factors could represent the length times width?

a. (3n + 2)(3n + 3) c. (n + 3)(3n + 2)

b. (n + 3)(3n + 3) d. (n + 2)(3n + 3)

____ 40. Which product of factors is equivalent to (y + 2)2 9x

2?

a. (y 3x + 2)(y + 3x + 2) c. (y 3x 2)(y 3x 2)

b. (y + 2 + 3x)(y + 2 + 3x) d. (y + 2 9x)(y + 2 + 9x)

____ 41. What is the complete factorization of 3x3 24?

a. 3(x3 + 8) c. 3(x + 2)(x

2 2x + 4)

b. (3x 6)(x2 + 2x + 4) d. 3(x 2)(x

2 + 2x + 4)

____ 42. c3d

3 + 64 =

a. (cd + 4)(c2d

2 4cd + 16) c. (cd + 4)(c

2d

2 4cd + 8)

b. (cd + 4)(c2d

2 2cd + 4) d. (cd 4)(c

2d

2 + 4cd + 8)

____ 43. The area of a square is represented by 9x2 30x + 25. Which expression could represent one side of the

square?

a. (1.5x + 5) c. (3x + 5)

b. (1.5x 5) d. (3x 5)

____ 44. What is the complete factorization of 0.01x2 0.81?

a. 0.1(x 3)(x + 27) c. (0.1x + 0.9)(0.1x + 0.9)

b. 0.1(x 9)(x 9) d. 0.01(x 9)(x + 9)

____ 45. What is the complete factorization of 169x2 + 312xy + 144y

2?

a. (13x 12y)(13x 12y) c. (13x + 12y)(13x + 12y)

b. (13x + 48y)(13x + 3y) d. (x + 6y)(169x + 24y)

____ 46. Which product of factors is equivalent to 16x2 8x + 1?

a. (4x 1)(4x 1) c. 4(x + 1)(x + 1)

b. (8x 1)(2x 1) d. (2x + 1)(8x + 1)

____ 47. The area a right triangle is represented by y2 + 3y + 4. Which factors could represent the base times height?

a. (y + 4)(y 1) c.

b. (y + 2)(y + 4) d. (y 2)(3y 2)

____ 48. What are the values of x and y that make 9x + 2 + (y 3)i = 7 + 5i true?

a. x = 1, y = 8 c. x = 4, y =

b. x = 1, y = 8 d. x = , y = 8

____ 49. What is an equivalent form of ?

a.

c.

b.

d.

____ 50. (7 i)(2 + 3i) =

a. 17 + 23i c. 11 23i

b. 12i d. 11 + 23i

____ 51. What is an equivalent form of (20 4i) (16 + 3i)?

a. 36 7i c. 36 12i

b. 4 i d. 29

____ 52. For i = , which shows written in the form a + bi?

a. 2 + i c. 2 i

b.

d. 1 i

____ 53. (7i)(2i)(2i) =

a. 28 c. 28i

b. 28i d. 3i

____ 54. i + i2 + i

3 + i

4 =

a. i c. 1

b. i d. 0

____ 55. What is an equivalent form of ?

a.

c.

b.

d.

____ 56. (1 2i)(1 + 2i)(5 + 6i) =

a. 5 + 6i c. 15 18i

b. 25 + 30i d. 3 + 6i

____ 57. (4i)(9i)(i)(3i) =

a. 108 c. 108i

b. 108 d. 108i

____ 58. 2 + i + 3 + i2 8 + i

3 =

a. i c. 4

b. 3i d. 2

____ 59. What is an equivalent form of (2 4i) (1 + 2i) (6 3i)?

a. 7 5i c. 5 5i

b. 7 3i d. 2

____ 60. What are the values of c and d that make 8c 6 (d 2)i = 4 + 3i true?

a. c = , d = 1

c. c = 4, d = 1

b. c = , d = 1

d. c = , d = 1

____ 61. For i = , which shows written in the form a + bi?

a. 9 13i c.

b. 18 26i d.

____ 62. What is the product of the complex numbers (4 + i) and (4 i)?

a. 16i c. 15

b. 16i d. 17

____ 63.

a.

c.

b.

d.

____ 64. What is ?

a.

c.

b.

d.

____ 65. Which product is equivalent to ?

a. 4(4 + y) c. 8(y + 2)

b. 8(y 2) d. 8(2 y)

____ 66. =

a.

c.

b.

d.

____ 67. What is the simplest form of ?

a. 2a2b

11c

3 c. a

2b

5c

2

b. a2b

11c

3 d. a

2b

6c

2

____ 68. What is the simplest form of ?

a. 1 c.

b.

d.

____ 69. =

a.

c.

b.

d. x2 23


a. 2m(m + 1) c. 2(m + 1)

b. 2(m 1) d. 2(m2 1)

____ 71.

a.

c.

b. 3 d.

____ 72.

a.

c.

b.

d.

____ 73. =

a.

c. a + b

b.

d. 2a + 2b

____ 74. What is the simplest form of

a. (x 3y)2 c. (x + y)

2

b. (x + 3y)2 d. x

2 + 9xy + 9y

2

____ 75. What is a simplified form of ?

a.

c.

b. 5ab4

d.


a. 6(3 x) c. 6(x + 3)

b. 6(x 3) d. 6(x + 3)

____ 77.

a. 1 c. x

b. x(x 2) d.

____ 78.

a.

c.

b.

d.

____ 79.

a.

c.

b.

d.

____ 80. What amount must be added to each side of x2 + 12x = 9 to solve by completing the square?

a. 6 c. 45

b. 36 d. 144

____ 81. What are the solutions to the equation 5x2 20x 25 = 0?

a. x = 5; x = 1 c. x = 5; x = 1

b. x = 25; x = 5 d. x = 5; x = 1

____ 82. What are the solutions to the equation m2 = 6m 2?

a. m = ; m =

c. m = 3 + ; m = 3

b. m = 3 + ; m = 3 d. no solutions

____ 83. What are the solutions to the equation 3x2 + 144 = 0?

a. x = , x =

c. x = 4 , x = 4

b. x = , x =

d. x = 4i , x = 4i

____ 84. Lisa is thinking of three consecutive numbers. The square of the first number is 46 more than three times the

sum of the other two numbers. Which is the first of Lisa’s three numbers?

a. 16 c. 13

b. 15 d. 11

____ 85. Bhavata is solving the equation x2 2x = 3. What number should he add to both sides of the equation to

complete the square?

a. 0 c. 4

b. 1 d. 9

____ 86. What amount could be added to each side of 4y2 + 12y 5 = 0 to solve by completing the square?

a. 39 c.

b.

d.

____ 87. What amount could be added to each side of 2x2 8x 5 = 0 to solve by completing the square?

a. 18 c. 4

b. 18 d. 4

____ 88. What are the solutions to the equation ?

a. x = ; x =

c. x = ; x =

b. x = ; x =

d. no solutions

____ 89. What are the solutions to the equation 3x2 5x + 1 = 0?

a. x = , x =

c. x = , x =

b. x = , x =

d. x = , x =

____ 90. There are two numbers with the following properties.

1) The second number is 8 more than the first number.

2) The product of the two numbers is 13 less than their sum.

Which of the following represents possible values of these two numbers?

a. 5, 3 c. 8, 8

b. 9, 1 d. 5, 3

____ 91. What are the x-intercepts of the graph of the equation x2 + 3x + 2 = y?

a. and

c. 2 and 1

b. and

d. 1 and 2

____ 92. What is the minimum value of the quadratic function f(x) = 2(x + 3)2 5?

a. (3, 5) c. (3, 5)

b. (3, 5) d. (3, 5)

____ 93. Which ordered pair is the maximum value of f(x) = 2x2 + 8x + 1?

a. (2, 9) c. (2, 8)

b. (8, 1) d. (2, 0)

____ 94. How many real zeros does the function f(x) = x2 x + 2 have?

a. 0 c. 2

b. 1 d. 3

____ 95. What value of k makes x = 2 the axis of symmetry for the graph of y = x2 + kx 25?

a. 23 c. 4

b. 6 d. 2

____ 96. Which best describes the zeros the function f(x) = x2 + 6x + 10 has?

a. 1 real zeros c. 3 real zeros

b. 2 real zeros d. 2 imaginary zeros

____ 97. Which equation is graphed on the coordinate grid shown below?

a. y = x2 2x + 1 c. y = x

2 4x + 3

b. y = x2 + 4x 3 d. y = x

2 + 2x + 1

____ 98. Which is the graph of y = 2(x 3)2 + 1?

a. c.

b. d.

____ 99. What are the x-intercepts of the graph of the equation 2x2 4x + 1 = y?

a. and

c. 1 + and 1

b. and

d. 1 + and 1

____ 100. What is the maximum value of the quadratic function f(x) = 2x2 + 8x 4?

a. (6, 28) c. (3, 38)

b. (8, 128) d. (2, 4)

____ 101. Which ordered pair is the vertex of f(x) = x2 8x + 15?

a.

c. (0, 15)

b. (4, 1) d.

____ 102. What are the solutions to the equation log3(x2 + 2) = log3 (3x)?

a. x = , x =

c. x = 2, x = 1

b. x = , x =

d. x = 2, x = 1

____ 103. Which equation is equivalent to ?

a.

c.

b.

d. 5 = 25x

____ 104. What is the solution to the equation logx 16 = 2?

a. x = 2 c. x = 4

b. x = 8 d. no solution

____ 105. Which expression is equivalent to log436?

a.

c.

b.

d.

____ 106. If 25x 8

= 16x, what is the value of x?

a. x =

c. x = 2

b. x =

d. x = 8

____ 107. If log10 x = 5, what is the value of x?

a. x =

c. x = 50

b. x =

d. x = 100,000

____ 108. Which expression is equivalent to ?

a. log53x log52y c. (log53x)(log52y)

b. log53x + log52y d. log5(6xy)

____ 109. Which equation is equivalent to log3 243 = x?

a.

c. 3 = 243x

b.

d. 3x = 243

____ 110. What are the solutions to the equation ?

a. x = , x =

c. x = , x =

b. x = , x =

d. x = , x =

____ 111. What is the solution to the equation 10log5x 4log5 25 = log5 25?

a. x =

c. x = 5

b. x = 30 d. x =

____ 112. If = 36x, what is the value of x?

a. x =

c. x =

b. x = 1 d. x =

____ 113. If log10 x = 4, what is the value of x?

a. x = 10,000 c. x = 10,000

b. x = 40 d. x =

____ 114. If the equation y = 3x is graphed, which of the following values of x would produce a point closest to the

x-axis?

a. 3 c. 0

b. 2 d. 3

____ 115. Bacteria in a culture are growing exponentially with time, as shown in the table below.

Which of the following equations expresses the number of bacteria, y, present at any time, t?

a. y = (10,000) · 2t c. y = 2000

t + 1

b. y = (10,000) · 2t d. y = 200(t + 1)

____ 116. If the equation y = is graphed, which of the following values of x would produce a point closest to the

x-axis?

a. 3 c. 0

b. 2 d. 3

____ 117. A certain radioactive element decays over time according to the equation

y = , where A = the number of grams present initially and t = time in years. If 5000 grams were

present initially, how many grams will remain after 1200 years?

a. 4204 grams c. 50 grams

b. 625 grams d. 25 grams

____ 118. If the equation y = 3x

is graphed, which of the following values of x would produce a point closest to the

x-axis?

a. 3 c. 0

b. 2 d. 3

____ 119. =

a.

c.

b.

d.

____ 120. Which equation represents exponential decay?

a. y = 23x c. y = 8(1.3)

x

b. y =

d. y =

____ 121. Which equation, when graphed, passes through and (0, 1)?

a. y =

c. y =

b. y =

d. y =

____ 122. Which pair of points does the graph of y = pass through?

a. and (1, 6)?

c. (0, 6) and

b. (0, 2) and

d. and

____ 123. A sum of money is invested and increases over time according to the equation A = , where p = the

number of dollars invested at an annual interest rate r, expressed as a decimal, compounded k times a year for

n years results in the total amount A. If $2000 are invested at 12% annual interest and are compounded

semi-annually, what amount will there be in 2 years?

a. about $2120 c. about $2247

b. about $2240 d. about $2525

____ 124. Which equation is true for all real numbers?

a. log5 x log5 y = log5

c. = x

b. (x + y) = 1

d.

= x3

____ 125. For real numbers m and n, when is the equation |m n| = |n m|?

a. Only when m = n. c. Only when both m = 0 and n = 0.

b. When m = 0 or n = 0. d. They are always equal.

____ 126. If x is a real number, which best describes the values of x for which the inequality > 1 is true?

a. all 1 > x > 1 c. all values of x

b. all x < 1 d. no values of x

____ 127. For which values of x is the equation = 0 true?

a. for all real numbers x c. for some real numbers x

b. for no real numbers x d. impossible to determine

____ 128. If x is a real number, for what values of x is the equation true?

a. for some values of x c. for all values of x

b. for no values of x d. impossible to determine

____ 129. For which values of x is the equation true?

a. for all real numbers x c. for no real numbers x

b. for some real numbers x d. impossible to determine

____ 130. Which equation is true for all real numbers?

a. log10 x ÷ log10 y = logy x c.

= x

b. (xy) = 1

d. = x

2

____ 131. For real numbers m and n, when is the equation |m n| = n true?

a. when m 0 and n 0 c. only when n 0 and m = 2n

b. when m = 0 or n = 0 d. They are never equal.

____ 132. If x is a real number, which best describes the values of x for which the inequality 2 < 2 is true?

a. for all 0 x < 1 c. for all values of x

b. for all 1 > x > 1 d. for no values of x

____ 133. For which values of x is the equation = 4 x true?

a. for no real numbers x c. for all real numbers x

b. for some real numbers x d. impossible to determine

____ 134. If x is a real number, for what values of x is the equation log30 = x true?

a. for some values of x c. for all values of x

b. for no values of x d. impossible to determine

____ 135. Which equation is true for real numbers x and y if and only if x = y?

a. log10 y ÷ log10 y = x c.

b.

d.

____ 136. A train is made up of a locomotive, 5 different cars, and a caboose. If the locomotive must be first and

the caboose must be last, how many different ways can the train be ordered?

a. 120 c. 2520

b. 122 d. 5040

____ 137. From a list of 12 books, each student must choose 3 books for book reports. The first report is a traditional

book report; the second is a poster, and the third is a diorama. How many different ordering of books can be

chosen?

a. 79,833,600 c. 2640

b. 15,840 d. 1320

____ 138. How many ways can three greetings cards be arranged in a row on a tabletop if chosen from a selection of 8

different cards?

a. 6720 c. 56

b. 336 d. 24

____ 139. Joaquin wants to create several different 7-character passwords. He wants to use arrangements of the first 5

letters of his name (joaqu) followed by arrangements of the 2 digits in 18, his age. How many different

passwords can he create in this way?

a. 240 c. 35

b. 70 d. 7

____ 140. Donald is one of 9 finalists in a spelling bee. One of the finalists will be awarded a gold medal and four will

be awarded honorable mention medals. How many ways can the medals be awarded?

a. 45 c. 3024

b. 630 d. 15,120

____ 141. Mindy has a collection of 6 CDs. She wants to bring 2 of them on a road trip. How many possible choices

does she have?

a. 15 c. 30

b. 24 d. 360

____ 142. Sadiki and David are among 5 students who have a chance to win a free airline ticket to San Diego. Two

students from the group will be selected at random to each win a ticket. What is the possibility that the 2

students selected will be Sadiki and David?

a.

c.

b.

d.

____ 143. How many different ways can the letters of the word MISSION be arranged?

a. 630 c. 2520

b. 1260 d. 5040

____ 144. How many different ways can the letters in EEL RIVER be arranged?

a. 40,320 c. 3360

b. 20,160 d. 336

____ 145. Xing chooses five letters for a game he is playing. He randomly places the letters in a line on the board. What

is the probability that he arranges the five letters in one of the following ways?

a.

c.

b.

d.

____ 146. Brenda has 5 male kittens and 3 female kittens. If she picks up 2 kittens to give to a friend, what is the

probability that she will pick up 1 male and 1 female kitten?

a.

c.

b.

d.

____ 147. Which equation is equivalent to 7x 8 = 3 6x?

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

b. –x = –3x d. x = –5


a. –2x = 3 c. –17x = 6

b. –2x = 6 d. –17x = 12

____ 149. Which equation is equivalent to 9x + 10 = 2(2x 4) + 3x?

a. 8 = 14x c. 18 = –2x

b. 14 = –2x d. 2 = 14x


a. 11 – 6x = x – 3 c. 11 – 6x = x

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

____ 151. Which inequality is equivalent to 3 + 6x 21?

a. 9x 21 c. 6x 18

b. 9x 21 d. 6x 18

____ 152. Which inequality is equivalent to 4x + 13 < 2x + 3?

a. 10 < 6x c. 16 < –2x

b. 10 > 6x d. 16 > –2x

____ 153. Which inequality is equivalent to 3(4 5x) x + 7?

a. 5 6x c. 5 6x

b. 5 16x d. 5 16x

____ 154. Which inequality is equivalent to 6 3(x + 4) 2x?

a. –6 5x c. –6 5x

b. 12 –x d. 12 –x

____ 155. 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

____ 156. 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

____ 157. Which equation is equivalent to 10 4(x 5) = 11 x?

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

b. –6 = 3x d. 19 = 3x

____ 158. Which equation is equivalent to 4x + 6(x 7) = 2 + x?

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

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

____ 159. Which inequality is equivalent to x < 45 6x + 3?

a. 38x > –3 c. 7x > 48

b. 38x < –3 d. 7x < 48

____ 160. Which inequality is equivalent to ?

a. 6 22x c. –4x 12

b. 6 22x d. –4x 12

____ 161. 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.

____ 162. 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

____ 163. 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

____ 164. 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

____ 165. 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

____ 166. 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

____ 167. 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


a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 168. 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

____ 169. 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.

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.

____ 170. 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

____ 171. 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

____ 172. 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

____ 173. Solve.

11 – (x + 4) = 6x

a. x = –1 c. x = 1

b. x = 0 d. x =

____ 174. 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

____ 175. 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.

____ 176. What is the solution to ?

a. x < –1.8 c. x < 1.8

b. x > 1.8 d. x > 1.8

____ 177. Solve.

4(x + 7) + 2(3x – 2) = 49

Step 1: 4x + 28 + 6x – 4 = 49

Step 2: 10x + 24 = 49

Step 3: 10x = 25

Step 4: x = 250


a. Step 1 c. Step 3

b. Step 2 d. Step 4

____ 178. 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

____ 179. What is the solution to 9(5 – x) 4(x – 3)?

a.

c.

b.

d.

____ 180. Which equation is shown on the graph below?

a. y = x 2

c. y = x 2

b. y = x 3

d. y = x 3

____ 181. What is the x-intercept of the graph of 8x + 12y = –32?

a. –4 c.

b.

d. 4

____ 182. Which graph shows the inequality 4x – 3y –9?

a. c.

b. d.

____ 183. Which shows the graph of 5x = 4 2y?

a. c.

b. d.

____ 184. Which inequality is shown on the graph below?

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

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

____ 185. What is the y-intercept of the graph of x + y = 5?

a. 20 c. 5

b. 10 d. 2.5

____ 186. What is the x-intercept of the graph of y = 8x – 18?

a. –18 c.

b.

d. 18

____ 187. Which point lies on the line defined by y = 4x – 1?

a. (11, 3) c. (4, –1)

b. (3, 11) d. (–1, 4)

____ 188. 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

____ 189. 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)

____ 190. 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

____ 191. 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 )

____ 192. 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)

____ 193. Which table shows two points that lie on the line y – 12 = (x + 3)?

a. c.

b. d.

____ 194. Which point lies on the line defined by y = 16 – x?

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

b.

d.

____ 195. 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

____ 196. 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)

____ 197. 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)

____ 198. 4x2 3x + 12 2x

2 + 7x + 16 =

a. 6x2 28 c. 8x 28

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

2 4x + 28

____ 199. 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

____ 200. 3xy2(2x

2y)

a. 6x2 y

2 c. 6x

3 y

3

b. 3x3 y

5 d. 3x

2 y

4

____ 201. =

a. 4x3 y2

c. 6x3 y2

b.

d.

____ 202. 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

____ 203. (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

____ 204. (2x 3)(3x + 4) =

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

2 + 17x 12

b. 6x2 x 12 d. 6x

2 x 12

____ 205. =

a.

c.

b. 8x3 9x

2 + 2x d.

____ 206. 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

____ 207. The area of the rectangle shown below is 65x4y cm

2. Find x.

a. 156 c. 15

b. 40 d. 2.4

____ 208. 9x2y

3 (4y) =

a. 5x2y

2 c. 5x

2y

4

b. 36x2y

4 d. 36x

2y

2

____ 209. 4xy (2x3y)

2 =

a. 16x6y

3 c. 16x

7y

3

b. 8x6y

3 d. 8x

7y

3

____ 210.

a. 2x8 c.

x5

b. x

8

d. 2x5

____ 211. 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

____ 212.

a.

c.

b. 6x4 + 4x

3 2x

2 8x d. 6x

4 + 4x

3 10x

____ 213. What is reduced to lowest terms?

a.

c.

b.

d.

____ 214. Simplify to lowest terms.

a.

c. x + 5

b.

d. x 5


a.

c.

b.

d.


a.

c.

b.

d.


a.

c.

b.

d.


a.

c.

b.

d.


a.

c. 3x

b.

d. 3


a.

c.

b.

d.

____ 221. When is simplified, what is the denominator?

a. x2 9x + 7 c. x – 7

b. x – 7 d. x – 1


a. 2x 3y c.

b.

d.

____ 223. When is simplified, what is the numerator?

a. 2x – 3 c. x – 3

b. 2x + 2 d. x + 3


a.

c.

b.

d.

____ 225. 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

____ 226. What are the solutions to the equation x2 – 18 = 3x?

a. –6, –3 c. 6, –3

b. 6, 3 d. –6, 3

____ 227. 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

____ 228. What quantity should be added to both sides of this equation to complete the square?

4x2 – 10x = 3

a. –25 c.

b. –3 d.

____ 229. What are the solutions for the quadratic equation 3x2 – 13x + 12 = 0?

a. –1, –12 c. , 3

b. 1, 12 d. – , –3

____ 230. 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

____ 231. What are the solutions for the quadratic equation x2 + 4x = 12?

a. –2, –6 c. –2, 6

b. 2, –6 d. 2, 6

____ 232. 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)

____ 233. 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

____ 234. 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

____ 235. 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

____ 236. What are the solutions for the quadratic equation 5x2 – 4x – 12 = 0?

a. , –3

c. , 2

b. , 3

d. , –2

____ 237. 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)

____ 238. 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}

____ 239. Which is a solution set for the quadratic equation x2 + 15x – 34 = 0?

a. 17 c. –2

b.

d. –17

____ 240. Which is a solution to the quadratic equation x2 + 4 = 21?

a. 4 c. –3

b. 2 d. –7

Mr. McCaffrey's Big Tamale Summative Math CST Review Test.

Answer Section

MULTIPLE CHOICE

1. ANS: C PTS: 1 STA: (Key)1.0

2. ANS: A PTS: 1 STA: (Key)1.0

3. ANS: D PTS: 1 STA: (Key)1.0



6. ANS: B PTS: 1 STA: (Key)1.0















































100. ANS: D PTS: 1 STA: (Key)10.0

101. ANS: B PTS: 1 STA: (Key)10.0

102. ANS: C PTS: 1 STA: (Key)11.1

103. ANS: B PTS: 1 STA: (Key)11.1

104. ANS: C PTS: 1 STA: (Key)11.1

105. ANS: A PTS: 1 STA: (Key)11.1

106. ANS: D PTS: 1 STA: (Key)11.1

107. ANS: D PTS: 1 STA: (Key)11.1

108. ANS: A PTS: 1 STA: (Key)11.1

109. ANS: D PTS: 1 STA: (Key)11.1

110. ANS: C PTS: 1 STA: (Key)11.1

111. ANS: C PTS: 1 STA: (Key)11.1

112. ANS: B PTS: 1 STA: (Key)11.1

113. ANS: D PTS: 1 STA: (Key)11.1

114. ANS: D PTS: 1 STA: (Key)12.0

115. ANS: A PTS: 1 STA: (Key)12.0

116. ANS: A PTS: 1 STA: (Key)12.0

117. ANS: B PTS: 1 STA: (Key)12.0

118. ANS: A PTS: 1 STA: (Key)12.0

119. ANS: C PTS: 1 STA: (Key)12.0

120. ANS: D PTS: 1 STA: (Key)12.0

121. ANS: B PTS: 1 STA: (Key)12.0

122. ANS: B PTS: 1 STA: (Key)12.0

123. ANS: D PTS: 1 STA: (Key)12.0

124. ANS: C PTS: 1 STA: (Key)15.0

125. ANS: D PTS: 1 STA: (Key)15.0

126. ANS: B PTS: 1 STA: (Key)15.0

127. ANS: C PTS: 1 STA: (Key)15.0

128. ANS: A PTS: 1 STA: (Key)15.0

129. ANS: B PTS: 1 STA: (Key)15.0

130. ANS: D PTS: 1 STA: (Key)15.0

131. ANS: C PTS: 1 STA: (Key)15.0

132. ANS: A PTS: 1 STA: (Key)15.0

133. ANS: B PTS: 1 STA: (Key)15.0

134. ANS: B PTS: 1 STA: (Key)15.0

135. ANS: D PTS: 1 STA: (Key)15.0

136. ANS: A PTS: 1 STA: (Key)18.0

137. ANS: D PTS: 1 STA: (Key)18.0

138. ANS: B PTS: 1 STA: (Key)18.0

139. ANS: A PTS: 1 STA: (Key)18.0

140. ANS: B PTS: 1 STA: (Key)18.0

141. ANS: A PTS: 1 STA: (Key)18.0

142. ANS: D PTS: 1 STA: (Key)19.0

143. ANS: B PTS: 1 STA: (Key)19.0

144. ANS: C PTS: 1 STA: (Key)19.0

145. ANS: A PTS: 1 STA: (Key)19.0

146. ANS: B PTS: 1 STA: (Key)19.0

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

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


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


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





























































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


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

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


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










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