Mr. McCaffrey's Big Tamale Algebra 1 CST Review...
Transcript of Mr. McCaffrey's Big Tamale Algebra 1 CST Review...
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.
____ 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. 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?
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 =
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) =
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.
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
____ 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.
____ 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.
____ 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)
____ 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
____ 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.
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.
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.
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?
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
____ 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
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
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
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
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