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Mr. McCaffrey's Big Tamale Integrated Math 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.
____ 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
____ 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
____ 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.
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
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.
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)
____ 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.
____ 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. 4x2 3x + 12 2x
2 + 7x + 16 =
a. 6x2 28 c. 8x 28
b. 6x2 10x + 28 d. 2x
2 4x + 28
____ 68. 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
____ 69. 3xy2(2x
2y)
a. 6x2 y
2 c. 6x
3 y
3
b. 3x3 y
5 d. 3x
2 y
4
____ 70. =
a. 4x3 y2
c. 6x3 y2
b.
d.
____ 71. 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
____ 72. (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
____ 73. (2x 3)(3x + 4) =
a. 6x2 + 17x 12 c. 6x
2 + 17x 12
b. 6x2 x 12 d. 6x
2 x 12
____ 74. =
a.
c.
b. 8x3 9x
2 + 2x d.
____ 75. 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
____ 76. The area of the rectangle shown below is 65x4y cm
2. Find x.
a. 156 c. 15
b. 40 d. 2.4
____ 77. 9x2y
3 (4y) =
a. 5x2y
2 c. 5x
2y
4
b. 36x2y
4 d. 36x
2y
2
____ 78. 4xy (2x3y)
2 =
a. 16x6y
3 c. 16x
7y
3
b. 8x6y
3 d. 8x
7y
3
____ 79.
a. 2x8 c.
x5
b. x
8
d. 2x5
____ 80. 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
____ 81.
a.
c.
b. 6x4 + 4x
3 2x
2 8x d. 6x
4 + 4x
3 10x
____ 82. What is reduced to lowest terms?
a.
c.
b.
d.
____ 83. Simplify to lowest terms.
a.
c. x + 5
b.
d. x 5
____ 84. What is reduced to lowest terms?
a.
c.
b.
d.
____ 85. Simplify to lowest terms.
a.
c.
b.
d.
____ 86. What is reduced to lowest terms?
a.
c.
b.
d.
____ 87. Simplify to lowest terms.
a.
c.
b.
d.
____ 88. What is reduced to lowest terms?
a.
c. 3x
b.
d. 3
____ 89. Simplify to lowest terms.
a.
c.
b.
d.
____ 90. When is simplified, what is the denominator?
a. x2 9x + 7 c. x – 7
b. x – 7 d. x – 1
____ 91. Simplify to lowest terms.
a. 2x 3y c.
b.
d.
____ 92. When is simplified, what is the numerator?
a. 2x – 3 c. x – 3
b. 2x + 2 d. x + 3
____ 93. What is reduced to lowest terms?
a.
c.
b.
d.
____ 94.
a.
c.
b.
d. 7x + 9
____ 95. 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
____ 96.
a.
c.
b.
d.
____ 97. =
a.
c.
b.
d.
____ 98. =
a.
c.
b.
d.
____ 99.
a.
c.
b. 2x2 + x – 6 d. 2x
2 – x –6
____ 100. For which operation must you first find the least common denominator of the two rational expressions?
a.
c.
b.
d.
____ 101. =
a.
c.
b.
d.
____ 102. Which of the following simplifies to 0?
a.
c.
b.
d.
____ 103. =
a.
c.
b.
d.
____ 104.
a.
c.
b.
d.
____ 105.
a.
c.
b.
d.
____ 106. 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
____ 107. What are the solutions to the equation x2 – 18 = 3x?
a. –6, –3 c. 6, –3
b. 6, 3 d. –6, 3
____ 108. 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
____ 109. What quantity should be added to both sides of this equation to complete the square?
4x2 – 10x = 3
a. –25 c.
b. –3 d.
____ 110. What are the solutions for the quadratic equation 3x2 – 13x + 12 = 0?
a. –1, –12 c. , 3
b. 1, 12 d. – , –3
____ 111. 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
____ 112. What are the solutions for the quadratic equation x2 + 4x = 12?
a. –2, –6 c. –2, 6
b. 2, –6 d. 2, 6
____ 113. 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)
____ 114. 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
____ 115. 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
____ 116. 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
____ 117. What are the solutions for the quadratic equation 5x2 – 4x – 12 = 0?
a. , –3
c. , 2
b. , 3
d. , –2
____ 118. 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)
____ 119. 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}
____ 120. Which is a solution set for the quadratic equation x2 + 15x – 34 = 0?
a. 17 c. –2
b.
d. –17
____ 121. Which is a solution to the quadratic equation x2 + 4 = 21?
a. 4 c. –3
b. 2 d. –7
____ 122. Below is one step in completing the square to solve a quadratic equation.
Which equation represents the next step in the solution?
a.
c.
b.
d.
____ 123. 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
____ 124. 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
____ 125. What method is used to derive the quadratic formula?
a. factoring c. completing the square
b. graphing d. long division
____ 126. Complete the following statement.
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
____ 127. 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.
____ 128. What is one of the solutions for x2 – 4x = 3?
a.
c.
b.
d.
____ 129. What is the solution set of the quadratic equation 9x2 + 7x + 2 = 0?
a.
c.
b.
d. There are no real solutions.
____ 130. What is one of the solutions to the quadratic equation 3x2 – 8x –2 = 0?
a.
c.
b.
d.
____ 131. What are the solutions of the quadratic equation –2x2 + 5x + = 0?
a. –3,
c.
b.
d. no real solutions
____ 132. 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.
____ 133. What are the solutions to the quadratic equation 5x2 – 7x + 1 = 0?
a.
c.
b.
d. no real solutions
GEOMETRY
____ 134. A cylinder has radius 2 inches and height 8 inches.
If you needed to paint the entire cylinder, with the exception of the two bases, what area would you paint?
a. 10 sq in. c. 32 sq in.
b. 16 sq in. d. 64 sq in.
____ 135. Circle A has radius 3 cm. Circle B has diameter 8 cm. What is the sum of their areas?
a. 11 cm2 c. 25 cm
2
b. 24 cm2 d. 73 cm
2
____ 136. Circle A has area 81 square inches. Find the circumference of circle A.
a. 9 in. c. 81 in.
b. 18 in. d. 162 in.
____ 137. A student knows that the area of a parallelogram is found by multiplying the base by the height. Drawing the
diagonal for the parallelogram is one way to illustrate which formula?
a. area of a triangle c. perimeter of a parallelogram
b. area of a rectangle d. area of a trapezoid
____ 138. A rectangle has an area 24 cm2 and length 3 cm. What is its perimeter?
a. 72 cm c. 11 cm
b. 22 cm d. 8 cm
____ 139. A truck tire has a diameter of 3 feet. How far will the truck travel in 20 rotations?
a. 30 ft c. 120 ft
b. 60 ft d. 180 ft
____ 140. A triangle has a base 12 inches long and an area of 36 square inches. Find the length of the altitude.
a. 3 in. c. 5 in.
b. 4 in. d. 6 in.
____ 141. Find the area of trapezoid ABCD.
a. 24 sq in. c. 29.25 sq in.
b. 28.5 sq in. d. 40.5 sq in.
____ 142. A prism has volume 90 cm3. It has a square base whose area is 9 cm
2. What is its surface area?
a. 138 cm2 c. 270 cm
2
b. 198 cm2 d. 810 cm
2
____ 143. Which of the following techniques can be used to find the volume of any right prism or cylinder?
a. find the area of each side and multiply by the height
b. multiply the length and the width and the height
c. double the area of each side and add the results together
d. find the area of the base and multiply by the height
____ 144. A carpenter needs 42 feet of crown molding to finish the perimeter of a rectangular room. One side of the
room is 12 feet long. How much carpet will he need to finish the room?
a. 64 ft2 c. 144 ft
2
b. 108 ft2 d. 504 ft
2
____ 145. A school put in a new football field. The field has a running track around its perimeter. The dimensions are
shown in the figure below.
If the groundskeeper could mow 400 square feet per minute, how long would it take her to mow the entire
field, to the nearest minute?
a. 100 minutes c. 136 minutes
b. 108 minutes d. 185 minutes
____ 146. A runner wants to jog around the perimeter of the field. How far will the runner go in one lap?
a. 720 ft c. 1005 ft
b. 960 ft d. 1097 ft
____ 147. Which of the following volume formulas is incorrect?
a. volume of a pyramid = Bh
c. volume of a cylinder = r2h
b. volume of a cube = s3 d. volume of rectangular prism =
2h
____ 148. A beach ball has a diameter of 24 inches. What is its approximate surface area, in square inches? (Surface
Area = 4 r2)
a. 3617 sq in. c. 1152 sq in.
b. 1809 sq in. d. 96 sq in.
____ 149. A company sells seasoning in cans that are 14 cm tall. The cans have radius 4 cm. How much seasoning will
the cylinder hold, to the nearest cubic centimeter?
a. 56 cm3 c. 704 cm
3
b. 224 cm3 d. 2463 cm
3
____ 150. A fruit juice company sells its juice in containers that are 4.5 cm long, 2.5 cm wide, and 6 cm tall. How much
material is needed to cover the outside of one container?
a. 53.25 cm2 c. 106.5 cm
2
b. 67.5 cm2 d. 135 cm
2
____ 151. A pyramid has a square base with each side measuring 6 meters. The distance from the center of the base to
the top of the pyramid is 9 meters, What is the volume of the pyramid?
a. 18 m3 c. 108 m
3
b. 54 m3 d. 324 m
3
____ 152. Which of the following surface area formulas is incorrect?
a. surface area of a cube = 6s2
b. surface area of a rectangular prism = 2 wh
c. surface area of a cylinder = 2 r2 + 2 rh
d. surface area of a regular square pyramid = s2 + 2s
____ 153. The triangle shown on the coordinate plane below has vertices at (3, 5), (8, 4) and (5, 5).
What is its area, in square units?
a. 24 c. 36
b. 32 d. 72
____ 154. One side of an equilateral triangle is 10 inches long. Find the area, to the nearest square inch.
a. 30 sq in. c. 50 sq in.
b. 43 sq in. d. 100 sq in.
____ 155. Juanita is going to put a new floor in her kitchen. Her kitchen is 15 feet long and 18 feet wide. She wants to
use tiles that are 9 inches square. How many tiles will she need to cover the kitchen floor?
a. 480 c. 136
b. 270 d. 66
____ 156. Which of the following figures will have the greatest area?
a. a scalene triangle with perimeter 54 in., base 20 in., and height 10 in.
b. a rhombus with side 13 in., short diagonal 10 in., and long diagonal 24 in.
c. a trapezoid with short base 12 in., long base 16 in., and height 8 in.
d. a parallelogram with short side 12 in., long side (base) 13 in., and height 9 in.
____ 157. Which of the following sketches does not illustrate the altitude (height) of a triangle?
a.
c.
b.
d.
____ 158. Figure ABCD is a rhombus. Find its area.
a. 12 sq in. c. 24 sq in.
b. 20 sq in. d. 60 sq in.
____ 159. Isosceles trapezoid EFGH has area 80 cm2, height 20 cm, and legs 22 cm. One of the bases is 5 cm. How long
is the remaining base?
a. 3 cm c. 20 cm
b. 4 cm d. 24 cm
____ 160. If the base of parallelogram MNOP is 1 inch less than twice its height, which expression represents the area
of the parallelogram?
a. (x)(2x 1) c. (2x 1)2
b. 2(2x 1) d.
____ 161. Rectangle ABCD has a length of 24 cm and a width of 16 cm. Find the area of the inscribed
rhombus MNOP.
a. 80 cm2 c. 192 cm
2
b. 96 cm2 d. 384 cm
2
____ 162. Carlos has developed software that allows the user to instantly find the lengths of all sides of any polygon.
Which of the following figures needs more information before its area can be calculated?
a. right triangle c. square
b. rectangle d. rhombus
____ 163. A kite has one diagonal 12 inches long and another diagonal 8 inches long. Which figure has the same area as
the kite?
a. rectangle with length 12 in. and width 8 in.
b. triangle with base 12 in. and height 8 in.
c. parallelogram with base 12 in. and height 8 in.
d. square with side 10 in.
____ 164. What is the value of x?
a. 61 c. 119
b. 92 d. 149
____ 165. In the figure below, || .
What is the value of x?
a. 60 c. 85
b. 65 d. 90
____ 166. Two exterior angles of a triangle measure 153° and 105°. Which could not be an interior angle measure of the
triangle?
a. 27° c. 78°
b. 75° d. 102°
____ 167. If the measure of an exterior angle of a regular polygon is 72°, how many sides does the polygon have?
a. 3 c. 5
b. 4 d. 6
____ 168. A regular hexagon is shown below.
What is the value of x?
a. 40 c. 120
b. 70 d. 130
____ 169. What is the value of x?
a. 22 c. 69
b. 47 d. 111
____ 170. The sum of the interior angles of a polygon is two times the sum of its exterior angles. What type of polygon
is it?
a. triangle c. hexagon
b. quadrilateral d. octagon
____ 171. What is mC in the quadrilateral shown below?
a. 65° c. 135°
b. 100° d. 145°
____ 172. A regular pentagon is shown below.
What is the value of x?
a. 41 c. 77
b. 72 d. 103
____ 173. Two angles of a triangle measure 84° and 35°. Which of the following could not be a measure of an exterior
angle of the triangle?
a. 96° c. 131°
b. 119° d. 145°
____ 174. What is the value of x?
a. 26 c. 64
b. 54 d. 154
____ 175. If the measure of an interior angle of a regular pentagon is (x + 26)°, what is the value of x?
a. 46 c. 82
b. 72 d. 108
____ 176. Two exterior angles of a quadrilateral measure 112° and 38°. Which could be the measures of the other two
exterior angles?
a. 90°, 100° c. 100°, 110°
b. 100°, 100° d. 150°, 150°
____ 177. What are the coordinates of the point of intersection of the diagonals of JKLM?
a.
c.
b.
d.
____ 178. What type of triangle is formed by the points P(1, 6), Q(2, 3), and R(8, 1)?
a. right c. isosceles
b. acute d. equilateral
____ 179. What type of figure is formed by the points F(2, 1), G(0, 5), H(6, 5), and J(4, 1)?
a. square c. trapezoid
b. rectangle d. parallelogram
____ 180. Given that quadrilateral RSTU is a parallelogram, which is necessary in order to conclude that RSTU is a
rectangle?
a. (slope )(slope ) = 1
b. (slope )(slope ) = 1
c. distance from R to T = distance from R to U
d. distance from R to T = distance from S to U
____ 181. The figure below shows rectangle ABCD.
Which is a true statement?
a. (slope )(slope ) = 1 c. slope = slope
b. (slope )(slope ) = 1 d. slope = 2(slope )
____ 182. The figure below shows FGH.
Which statement would prove that FGH is an isosceles triangle?
a. (slope )(slope ) = 1
b. (slope )(slope ) = 1
c. distance from F to G = distance from G to H
d. distance from F to G = (distance from G to H)
____ 183. What type of triangle is formed by the points J(3, 5), K(1, 10), and L(4, 0)?
a. right c. isosceles
b. scalene d. equilateral
____ 184. The diameter of a circle has endpoints at (1, 1) and (5, 5). What are the coordinates of the center of the
circle?
a. (6, 4) c. (2, 3)
b. (4, 6) d. (3, 2)
____ 185. A figure is formed by the points A(0, 0), B(a, 0), C(a, a), and D(0, a). What type of figure is formed?
a. square c. kite
b. triangle d. trapezoid
____ 186. The figure below shows parallelogram MNPQ.
Which statement would prove that MNPQ is a rhombus?
a. (slope )(slope ) = 1
b. (slope )(slope ) = –1
c. distance from N to Q = distance from M to P
d. distance from N to Q = (distance from M to P)
____ 187. What type of figure is formed by the points W(1, 6), X(5, 6), Y(2, 3), and Z(1, 3)?
a. square c. trapezoid
b. rhombus d. rectangle
Mr. McCaffrey's Big Tamale Integrated Math 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
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: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
68. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
69. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
70. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
71. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
72. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
73. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
74. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
75. ANS: A PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
76. ANS: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
77. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
78. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
79. ANS: B PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
80. ANS: D PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
81. ANS: C PTS: 1 STA: [Key]10.0 MSC: CAHSEE | Key
82. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key
83. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key
84. ANS: D PTS: 1 STA: [Key]12.0 MSC: Key
85. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key
86. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key
87. ANS: C PTS: 1 STA: [Key]12.0 MSC: Key
88. ANS: C PTS: 1 STA: [Key]12.0 MSC: Key
89. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key
90. ANS: A PTS: 1 STA: [Key]12.0 MSC: Key
91. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key
92. ANS: D PTS: 1 STA: [Key]12.0 MSC: Key
93. ANS: B PTS: 1 STA: [Key]12.0 MSC: Key
94. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key
95. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key
96. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key
97. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key
98. ANS: A PTS: 1 STA: [Key]13.0 MSC: Key
99. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key
100. ANS: D PTS: 1 STA: [Key]13.0 MSC: Key
101. ANS: B PTS: 1 STA: [Key]13.0 MSC: Key
102. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key
103. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key
104. ANS: D PTS: 1 STA: [Key]13.0 MSC: Key
105. ANS: C PTS: 1 STA: [Key]13.0 MSC: Key
106. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
107. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key
108. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
109. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
110. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key
111. ANS: A PTS: 1 STA: [Key]14.0 MSC: Key
112. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key
113. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key
114. ANS: A PTS: 1 STA: [Key]14.0 MSC: Key
115. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key
116. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key
117. ANS: C PTS: 1 STA: [Key]14.0 MSC: Key
118. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
119. ANS: B PTS: 1 STA: [Key]14.0 MSC: Key
120. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
121. ANS: D PTS: 1 STA: [Key]14.0 MSC: Key
122. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key
123. ANS: B PTS: 1 STA: [Key]19.0 MSC: Key
124. ANS: B PTS: 1 STA: [Key]19.0 MSC: Key
125. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key
126. ANS: C PTS: 1 STA: [Key]19.0 MSC: Key
127. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key
128. ANS: C PTS: 1 STA: [Key]20.0 MSC: Key
129. ANS: D PTS: 1 STA: [Key]20.0 MSC: Key
130. ANS: B PTS: 1 STA: [Key]20.0 MSC: Key
131. ANS: C PTS: 1 STA: [Key]20.0 MSC: Key
132. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key
133. ANS: A PTS: 1 STA: [Key]20.0 MSC: Key
134. ANS: C PTS: 1 STA: (Key)8.0
135. ANS: C PTS: 1 STA: (Key)8.0
136. ANS: B PTS: 1 STA: (Key)8.0
137. ANS: A PTS: 1 STA: (Key)8.0
138. ANS: B PTS: 1 STA: (Key)8.0
139. ANS: B PTS: 1 STA: (Key)8.0
140. ANS: D PTS: 1 STA: (Key)8.0
141. ANS: C PTS: 1 STA: (Key)8.0
142. ANS: A PTS: 1 STA: (Key)8.0
143. ANS: D PTS: 1 STA: (Key)8.0
144. ANS: B PTS: 1 STA: (Key)8.0
145. ANS: C PTS: 1 STA: (Key)8.0
146. ANS: D PTS: 1 STA: (Key)8.0
147. ANS: D PTS: 1 STA: 9.0
148. ANS: B PTS: 1 STA: 9.0
149. ANS: C PTS: 1 STA: 9.0
150. ANS: C PTS: 1 STA: 9.0
151. ANS: C PTS: 1 STA: 9.0
152. ANS: B PTS: 1 STA: 9.0
153. ANS: C PTS: 1 STA: (Key)10.0
154. ANS: B PTS: 1 STA: (Key)10.0
155. ANS: A PTS: 1 STA: (Key)10.0
156. ANS: B PTS: 1 STA: (Key)10.0
157. ANS: D PTS: 1 STA: (Key)10.0
158. ANS: C PTS: 1 STA: (Key)10.0
159. ANS: A PTS: 1 STA: (Key)10.0
160. ANS: A PTS: 1 STA: (Key)10.0
161. ANS: C PTS: 1 STA: (Key)10.0
162. ANS: D PTS: 1 STA: (Key)10.0
163. ANS: B PTS: 1 STA: (Key)10.0
164. ANS: C PTS: 1 STA: (Key)12.0
165. ANS: C PTS: 1 STA: (Key)12.0
166. ANS: D PTS: 1 STA: (Key)12.0
167. ANS: C PTS: 1 STA: (Key)12.0
168. ANS: B PTS: 1 STA: (Key)12.0
169. ANS: B PTS: 1 STA: (Key)12.0
170. ANS: C PTS: 1 STA: (Key)12.0
171. ANS: D PTS: 1 STA: (Key)12.0
172. ANS: D PTS: 1 STA: (Key)12.0
173. ANS: C PTS: 1 STA: (Key)12.0
174. ANS: A PTS: 1 STA: (Key)12.0
175. ANS: C PTS: 1 STA: (Key)12.0
176. ANS: C PTS: 1 STA: (Key)12.0
177. ANS: C PTS: 1 STA: (Key)17.0
178. ANS: A PTS: 1 STA: (Key)17.0
179. ANS: D PTS: 1 STA: (Key)17.0
180. ANS: D PTS: 1 STA: (Key)17.0
181. ANS: A PTS: 1 STA: (Key)17.0
182. ANS: C PTS: 1 STA: (Key)17.0
183. ANS: B PTS: 1 STA: (Key)17.0
184. ANS: D PTS: 1 STA: (Key)17.0
185. ANS: A PTS: 1 STA: (Key)17.0
186. ANS: B PTS: 1 STA: (Key)17.0
187. ANS: C PTS: 1 STA: (Key)17.0