MCAS Math Practice Exam, Exams of Technology

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MCAS Math Exam
Question 1. Which property states that the order in which two numbers are added does not change
their sum?
A) Distributive property
B) Commutative property
C) Associative property
D) Identity property
Answer: B
Explanation: The commutative property of addition states that a + b = b + a; the sum stays the same
regardless of the order.
Question 2. What is the value of the digit 7 in the number 47,362?
A) 7
B) 70
C) 700
D) 7,000
Answer: C
Explanation: In 47,362, the 7 is in the hundreds place, so its value is 700.
Question 3. Which equation correctly represents “7 fewer than a number x”?
A) x - 7
B) 7 - x
C) x + 7
D) 7x
Answer: A
Explanation: “7 fewer than x” means you subtract 7 from x, so x - 7.
Question 4. What is the sum of 2/5 and 3/10?
A) 1/2
B) 7/10
C) 1
D) 9/10
Answer: B
Explanation: 2/5 = 4/10, so 4/10 + 3/10 = 7/10.
Question 5. Which of the following is a proportional relationship?
A) y = 2x + 1
B) y = x + 2
C) y = 3x
D) y = x^2
Answer: C
Explanation: y = 3x is proportional because it passes through the origin and the ratio y/x is constant.
Question 6. If 6 × 4 = 24, which property allows us to say 4 × 6 = 24?
A) Associative property
B) Distributive property
C) Commutative property
D) Identity property
Answer: C
Explanation: The commutative property of multiplication states that changing the order doesn’t
change the product.
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Question 1. Which property states that the order in which two numbers are added does not change their sum? A) Distributive property B) Commutative property C) Associative property D) Identity property Answer: B Explanation: The commutative property of addition states that a + b = b + a; the sum stays the same regardless of the order. Question 2. What is the value of the digit 7 in the number 47,362? A) 7 B) 70 C) 700 D) 7, Answer: C Explanation: In 47,362, the 7 is in the hundreds place, so its value is 700. Question 3. Which equation correctly represents “7 fewer than a number x”? A) x - 7 B) 7 - x C) x + 7 D) 7x Answer: A Explanation: “7 fewer than x” means you subtract 7 from x, so x - 7. Question 4. What is the sum of 2/5 and 3/10? A) 1/ B) 7/ C) 1 D) 9/ Answer: B Explanation: 2/5 = 4/10, so 4/10 + 3/10 = 7/10. Question 5. Which of the following is a proportional relationship? A) y = 2x + 1 B) y = x + 2 C) y = 3x D) y = x^ Answer: C Explanation: y = 3x is proportional because it passes through the origin and the ratio y/x is constant. Question 6. If 6 × 4 = 24, which property allows us to say 4 × 6 = 24? A) Associative property B) Distributive property C) Commutative property D) Identity property Answer: C Explanation: The commutative property of multiplication states that changing the order doesn’t change the product.

Question 7. What is the product of (3 × 4) × 2 using the associative property? A) (3 × 4) × 2 = 3 × (4 × 2) B) (3 × 4) × 2 = (3 × 2) × 4 C) (3 × 4) × 2 = 3 × 4 × 2 D) All of the above Answer: D Explanation: The associative property allows grouping factors in any order; all options are equivalent. Question 8. Solve for x: 2x + 3 = 11 A) 3 B) 4 C) 5 D) 7 Answer: B Explanation: Subtract 3 from both sides (2x=8), then divide by 2 (x=4). Question 9. Which decimal is equivalent to the fraction 3/4? A) 0. B) 0. C) 0. D) 1. Answer: C Explanation: 3 divided by 4 equals 0.75. Question 10. Which table shows a proportional relationship? A) x: 1 2 3 4; y: 2 4 6 8 B) x: 1 2 3 4; y: 3 5 7 9 C) x: 1 2 3 4; y: 2 5 8 11 D) x: 1 2 3 4; y: 4 7 10 13 Answer: A Explanation: In A, y/x is always 2, so it's proportional. Question 11. What is 1,347 rounded to the nearest hundred? A) 1, B) 1, C) 1, D) 1, Answer: D Explanation: The tens digit is 4 (<5), so round up to 1,400. Question 12. Which of these is a solution to the inequality x > 7? A) 7 B) 6 C) 8 D) 5 Answer: C Explanation: 8 is greater than 7 and satisfies the inequality.

B) 3/

C) 1/

D) 1/

Answer: A Explanation: 4/6 simplifies to 2/3 when both numerator and denominator are divided by 2. Question 20. If y = 2x - 5, what is y when x = 4? A) 2 B) 3 C) 8 D) 11 Answer: B Explanation: y = 2×4 - 5 = 8 - 5 = 3. Question 21. Which of these numbers is in the tenths place in the number 8.425? A) 2 B) 4 C) 5 D) 8 Answer: B Explanation: The first digit to the right of the decimal is the tenths place: 4. Question 22. Which expression is equivalent to 2(a + 5)? A) 2a + 5 B) 2a + 10 C) a + 10 D) a + 5 Answer: B Explanation: Distribute the 2: 2 × a + 2 × 5 = 2a + 10. Question 23. What is the greatest common factor (GCF) of 18 and 24? A) 2 B) 3 C) 6 D) 12 Answer: C Explanation: The GCF of 18 and 24 is 6. Question 24. Which is an example of a linear equation? A) y = x^2 + 3 B) y = 2x + 1 C) y = 2/x D) y = |x| Answer: B Explanation: Linear equations have the form y = mx + b. Question 25. What is 7.05 rounded to the nearest whole number? A) 7 B) 8 C) 7.

D) 7.

Answer: B Explanation: Since the tenths digit is 0.05, round up to 8. Question 26. Which graph represents a proportional relationship? A) A line passing through the origin B) A curved line C) A horizontal line D) A vertical line Answer: A Explanation: Proportional relationships are linear and pass through the origin. Question 27. What is the least common multiple (LCM) of 6 and 8? A) 12 B) 18 C) 24 D) 48 Answer: C Explanation: The smallest number both 6 and 8 divide into is 24. Question 28. What is 5/8 as a decimal? A) 0. B) 0. C) 0. D) 0. Answer: C Explanation: 5 divided by 8 equals 0.625. Question 29. Which equation has x = 3 as a solution? A) x + 2 = 4 B) x - 3 = 6 C) 2x = 6 D) x/3 = 9 Answer: C Explanation: 2×3 = 6, so x=3 is the solution. Question 30. What is the value of 0.04 × 100? A) 0. B) 0. C) 4 D) 40 Answer: A Explanation: 0.04 × 100 = 4, but move the decimal two places: 0.04 × 100 = 4. Question 31. Which operation would you perform first in the expression 5 + 3 × 2? A) Add 5 + 3 B) Multiply 3 × 2 C) Subtract D) Divide

Question 38. Which property allows you to write 7 + (8 + 5) = (7 + 8) + 5? A) Commutative B) Distributive C) Associative D) Identity Answer: C Explanation: The associative property allows changing the grouping of terms. Question 39. What is 3.75 rounded to the nearest tenth? A) 3. B) 3. C) 4. D) 3. Answer: B Explanation: The hundredths digit is 5, so round up to 3.8. Question 40. Which fraction is the smallest? A) 1/ B) 1/ C) 1/ D) 1/ Answer: D Explanation: 1/5 is the smallest value. Question 41. Evaluate 2^3 × 2^2. A) 2^ B) 2^ C) 2^ D) 2^ Answer: A Explanation: When multiplying like bases, add exponents: 2^3 × 2^2 = 2^(3+2) = 2^5. Question 42. Which is equivalent to 0.8 as a fraction? A) 4/ B) 2/ C) 8/ D) 1/ Answer: A Explanation: 0.8 = 8/10 = 4/5 in simplest form. Question 43. What is the solution to the equation 4x - 7 = 9? A) 2 B) 3 C) 4 D) 5 Answer: D Explanation: 4x = 9+7=16, so x=4. Question 44. What is the greatest common factor of 14 and 35? A) 2

B) 5

C) 7

D) 14

Answer: C Explanation: 7 is the largest number that divides both 14 and 35. Question 45. Which expression is equivalent to 5(x + 2) - 3x? A) 2x + 10 B) 5x + 2 - 3x C) 5x + 10 - 3x D) 2x + 2 Answer: A Explanation: 5x + 10 - 3x = 2x + 10. Question 46. What is 2.45 + 3.6? A) 5. B) 6. C) 6. D) 7. Answer: C Explanation: 2.45 + 3.6 = 6.05. Question 47. If the ratio of boys to girls is 3:5, which of the following could be the total number of students? A) 7 B) 8 C) 16 D) 20 Answer: D Explanation: 3:5 = 8 parts; 8×2.5=20, so 20 is a possible total. Question 48. What is 12 divided by 0.4? A) 0. B) 3 C) 30 D) 48 Answer: C Explanation: 12 ÷ 0.4 = 30. Question 49. Which is the solution to the inequality x + 4 ≤ 10? A) x ≤ 6 B) x ≤ 14 C) x ≤ 4 D) x ≤ 7 Answer: A Explanation: Subtract 4 from both sides to get x ≤ 6. Question 50. What is the value of (7 + 3) × 2? A) 20 B) 13

Answer: B Explanation: 1/4 = 5/20; 2/5 = 8/20; 5/20 + 8/20 = 13/20. Question 57. Which property is illustrated by a × 1 = a? A) Identity property B) Commutative property C) Associative property D) Distributive property Answer: A Explanation: The identity property of multiplication states multiplying by 1 does not change the number. Question 58. What is 14,328 rounded to the nearest thousand? A) 15, B) 14, C) 14, D) 14, Answer: B Explanation: The hundreds digit is 3 (<5), so round down to 14,000. Question 59. If 2/3 of a number is 16, what is the number? A) 24 B) 20 C) 22 D) 18 Answer: A Explanation: x = 16 ÷ (2/3) = 16 × 3/2 = 24. Question 60. What is the solution to the equation 3x = 27? A) 6 B) 7 C) 8 D) 9 Answer: D Explanation: 3×9=27. Question 61. Which equation shows the distributive property? A) 2 × (3 + 4) = 2 × 3 + 2 × 4 B) 2 + 3 = 3 + 2 C) (2 + 3) + 4 = 2 + (3 + 4) D) 2 × 1 = 2 Answer: A Explanation: The distributive property multiplies across the parentheses. Question 62. Which decimal is greater than 0.62 and less than 0.7? A) 0. B) 0. C) 0. D) 0.

Answer: C Explanation: 0.65 lies between 0.62 and 0.7. Question 63. Which of these patterns is not arithmetic? A) 2, 4, 6, 8 B) 5, 10, 15, 20 C) 1, 2, 4, 8 D) 7, 9, 11, 13 Answer: C Explanation: C multiplies by 2 each time; it's geometric, not arithmetic. Question 64. If 15 is 60% of a number, what is the number? A) 20 B) 25 C) 30 D) 35 Answer: B Explanation: 0.6x=15, so x=15/0.6=25. Question 65. What is the sum of 0.3 and 0.07? A) 0. B) 0. C) 0. D) 0. Answer: A Explanation: 0.3 + 0.07 = 0.37. Question 66. Which of the following expressions is equivalent to 4(x + 2) – 2x? A) 2x + 8 B) 4x + 2 – 2x C) 2x + 2 D) 4x + 8 – 2x Answer: A Explanation: 4x + 8 – 2x = 2x + 8. Question 67. What is 5/6 – 1/3? A) 1/ B) 1/ C) 2/ D) 5/ Answer: A Explanation: 1/3 = 2/6. 5/6 – 2/6 = 3/6 = 1/2. Question 68. Which number is in the hundredths place in 0.726? A) 2 B) 6 C) 7 D) 0 Answer: A Explanation: The second digit after the decimal is the hundredths place.

B) x ÷ 4 = 20 C) 4x = 20 D) x – 4 = 20 Answer: C Explanation: “Product of a number and 4” is 4x. Question 76. Which fraction is equivalent to 0.6? A) 3/ B) 6/ C) 2/ D) 1/ Answer: A Explanation: 0.6 = 6/10 = 3/5. Question 77. What is the sum of 1/4 and 1/8? A) 2/ B) 3/ C) 4/ D) 5/ Answer: D Explanation: 1/4 = 2/8; 2/8 + 1/8 = 3/8. Question 78. Which equation has x = 4 as its solution? A) x – 2 = 6 B) 2x = 8 C) x/4 = 1 D) x + 4 = 0 Answer: B Explanation: 2×4 = 8. Question 79. What is 7.6 rounded to the nearest whole number? A) 7 B) 8 C) 9 D) 10 Answer: B Explanation: Tenths digit is 6 (>5), so round up to 8. Question 80. If y = 3x + 2, what is y when x = 5? A) 10 B) 13 C) 15 D) 17 Answer: B Explanation: y = 3×5 + 2 = 15 + 2 = 17. Question 81. Which of these is a multiple of both 3 and 9? A) 12 B) 15 C) 18

D) 21

Answer: C Explanation: 18 is divisible by both 3 and 9. Question 82. What is the value of 5^3? A) 8 B) 15 C) 25 D) 125 Answer: D Explanation: 5^3 = 5 × 5 × 5 = 125. Question 83. What is 2/5 of 35? A) 7 B) 14 C) 10 D) 15 Answer: B Explanation: 35 × 2/5 = 14. Question 84. Which is the solution to the inequality 2x < 10? A) x < 5 B) x > 5 C) x < 20 D) x > 2 Answer: A Explanation: Divide both sides by 2: x < 5. Question 85. If 9 + x = 2x, what is x? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: x = 9. Question 86. What is 4.5 × 0.4? A) 1. B) 2. C) 1. D) 2. Answer: A Explanation: 4.5 × 0.4 = 1.8. Question 87. What is the simplified form of 6/18? A) 1/ B) 1/ C) 1/ D) 2/

Question 94. Which of the following is an arithmetic sequence? A) 1, 2, 4, 8 B) 2, 4, 6, 8 C) 2, 4, 8, 16 D) 3, 6, 12, 24 Answer: B Explanation: The difference between terms is constant (2). Question 95. What is the value of 0.005 × 1000? A) 0. B) 5 C) 50 D) 500 Answer: B Explanation: Move decimal three places: 0.005 × 1000 = 5. Question 96. If y = 2x + 1, and y = 7, what is x? A) 2 B) 3 C) 4 D) 5 Answer: B Explanation: 2x = 6, x = 3. Question 97. What is the next term in the pattern 1, 4, 9, 16, ...? A) 20 B) 25 C) 36 D) 49 Answer: B Explanation: These are perfect squares; next is 25 (5^2). Question 98. What is 2.4 ÷ 0.2? A) 1. B) 12 C) 8 D) 6 Answer: D Explanation: 2.4 ÷ 0.2 = 12. Question 99. Which of the following is equivalent to 4/10? A) 2/ B) 1/ C) 3/ D) 1/ Answer: A Explanation: 4/10 reduces to 2/5. Question 100. Which equation is true when x = 5? A) x + 3 = 7

B) x – 2 = 4 C) 2x = 10 D) x/5 = 2 Answer: C Explanation: 2×5=10. Question 101. What is the value of 3^2? A) 6 B) 9 C) 12 D) 8 Answer: B Explanation: 3^2 = 3 × 3 = 9. Question 102. What is the product of 0.6 and 0.5? A) 0. B) 0. C) 0. D) 0. Answer: A Explanation: 0.6 × 0.5 = 0.3. Question 103. Which is the solution to the equation 2x + 4 = 12? A) 3 B) 4 C) 5 D) 6 Answer: B Explanation: 2x=8, x=4. Question 104. What is the value of 0.75 × 8? A) 6 B) 8 C) 6. D) 7 Answer: A Explanation: 0.75 × 8 = 6. Question 105. Which equation has x = 7 as a solution? A) x + 7 = 14 B) 2x = 21 C) x – 7 = 0 D) x/7 = 2 Answer: A Explanation: 7 + 7 = 14. Question 106. What is 2/9 as a decimal? A) 0. B) 0.222... C) 0.

Answer: B Explanation: Pattern adds 4 each time; 17+4=21. Question 113. What is 5/12 as a decimal? A) 0. B) 0. C) 0.416... D) 0. Answer: C Explanation: 5 divided by 12 = 0.416... Question 114. Which number is the greatest? A) 0. B) 0. C) 0. D) 0. Answer: B Explanation: 0.88 is the largest. Question 115. What is 2.7 rounded to the nearest whole number? A) 2 B) 3 C) 4 D) 2. Answer: B Explanation: Tenths is 7 (>5), so round up to 3. Question 116. What is 4/10 + 3/5? A) 1 B) 7/ C) 1. D) 9/ Answer: A Explanation: 4/10 + 6/10 = 10/10 = 1. Question 117. If 3x = 12, what is x? A) 3 B) 4 C) 5 D) 12 Answer: B Explanation: 3 × 4 = 12. Question 118. What is the value of (2 + 3) × 4? A) 20 B) 14 C) 18 D) 24 Answer: A Explanation: 2+3=5; 5×4=20.

Question 119. Which number is equivalent to 2.5%? A) 0. B) 0. C) 0. D) 0. Answer: A Explanation: 2.5% = 2.5/100 = 0.025. Question 120. What is 3/10 – 1/5? A) 1/ B) 2/ C) 1/ D) 2/ Answer: A Explanation: 1/5 = 2/10; 3/10 – 2/10 = 1/10. Question 121. Which equation shows the associative property of multiplication? A) (2 × 3) × 4 = 2 × (3 × 4) B) 2 × 3 = 3 × 2 C) 2 × (3 + 4) = 2 × 3 + 2 × 4 D) 2 × 1 = 2 Answer: A Explanation: Associative property allows regrouping of multiplication. Question 122. What is the value of 0.9 × 0.3? A) 0. B) 0. C) 0. D) 0. Answer: B Explanation: 0.9 × 0.3 = 0.27. Question 123. Which is the solution to the equation 6x = 54? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 6 × 9 = 54. Question 124. What is the greatest common factor of 18 and 27? A) 3 B) 6 C) 9 D) 27 Answer: C Explanation: 9 is the largest number dividing both 18 and 27. Question 125. Which decimal is equivalent to 7/20? A) 0.