MTH101 MCQs, Absolute Value MCQs, Virtual University math questions, Math MCQs with answers, VU MTH101 exam prep, Absolute Value problems

• 1. What is the absolute value of -7?
  • a) -7
  • b) 7
  • c) 0
  • d) -1
  Answer: b) 7
• 2. The absolute value of 0 is:
  • a) 0
  • b) 1
  • c) -1
  • d) Undefined
  Answer: a) 0
• 3. If |x| = 5, then x can be:
  • a) 5 only
  • b) -5 only
  • c) ±5
  • d) 0
  Answer: c) ±5
• 4. Which of the following statements is true?
  • a) |a| ≥ 0 for any real number a
  • b) |a| ≤ 0 for any real number a
  • c) |a| can be negative
  • d) |a| = a always
  Answer: a) |a| ≥ 0 for any real number a
• 5. What is the value of |−3 + 4|?
  • a) 1
  • b) −1
  • c) 7
  • d) −7
  Answer: a) 1
• 6. Solve for x if |x − 2| = 4.
  • a) x = 6 only
  • b) x = −2 only
  • c) x = 6 or x = −2
  • d) No solution
  Answer: c) x = 6 or x = −2
• 7. If |2x + 3| = 7, what are the possible values of x?
  • a) 2 and −5
  • b) 2 and −10
  • c) 2 and −5
  • d) 2 and −7
  Answer: a) 2 and −5
• 8. What is |−|−8||?
  • a) −8
  • b) 8
  • c) 0
  • d) Undefined
  Answer: b) 8
• 9. Which of the following equals |5| + |−3|?
  • a) 2
  • b) 8
  • c) −8
  • d) −2
  Answer: b) 8
• 10. True or False: |a − b| = |b − a| for any real numbers a and b.
  • a) True
  • b) False
  Answer: a) True
• 11. Which inequality represents |x| < 3?
  • a) −3 < x < 3
  • b) x > 3
  • c) x < −3
  • d) x ≥ 3 or x ≤ −3
  Answer: a) −3 < x < 3
• 12. What is the absolute value of the difference between 9 and 15?
  • a) −6
  • b) 6
  • c) 24
  • d) −24
  Answer: b) 6
• 13. If |x + 1| = 0, then x equals:
  • a) 1
  • b) −1
  • c) 0
  • d) No solution
  Answer: b) −1
• 14. The absolute value function |x| is:
  • a) Even function
  • b) Odd function
  • c) Neither even nor odd
  • d) None of the above
  Answer: a) Even function
• 15. Which is the graph of y = |x|?
  • a) A V-shaped graph opening upwards
  • b) A U-shaped graph opening downwards
  • c) A straight line
  • d) A parabola opening upwards
  Answer: a) A V-shaped graph opening upwards
• 16. Simplify: |−12| + |7 − 10|.
  • a) 12 + 3 = 15
  • b) −12 + 3 = −9
  • c) 12 + (−3) = 9
  • d) −12 + (−3) = −15
  Answer: a) 12 + 3 = 15
• 17. Solve |3x − 1| = 5 for x.
  • a) x = 2 or x = −1.33
  • b) x = 3 or x = −2
  • c) x = 1 or x = −2
  • d) x = 2 or x = −1
  Answer: a) x = 2 or x = −1.33
• 18. If |x| > 4, which of the following is true?
  • a) x > 4 or x < −4
  • b) −4 < x < 4
  • c) x = 4
  • d) x = −4
  Answer: a) x > 4 or x < −4
• 19. What is |−(−9)|?
  • a) −9
  • b) 9
  • c) 0
  • d) −1
  Answer: b) 9
• 20. Which expression is equal to |a| − |b| for a = −5 and b = 3?
  • a) 2
  • b) −2
  • c) 8
  • d) −8
  Answer: b) −2

• 21. The absolute value of −15 is:
  • a) −15
  • b) 15
  • c) 0
  • d) Undefined
  Answer: b) 15
• 22. For which value of x is |x − 3| = 0?
  • a) 3
  • b) 0
  • c) −3
  • d) 1
  Answer: a) 3
• 23. The value of |4 − 9| is:
  • a) −5
  • b) 5
  • c) −13
  • d) 13
  Answer: b) 5
• 24. Which of the following is NOT true for all real numbers x?
  • a) |x| ≥ 0
  • b) |−x| = |x|
  • c) |x + y| = |x| + |y|
  • d) |0| = 0
  Answer: c) |x + y| = |x| + |y|
• 25. What is the solution set of |x + 2| ≤ 4?
  • a) −6 ≤ x ≤ 2
  • b) −4 ≤ x ≤ 4
  • c) −2 ≤ x ≤ 4
  • d) x ≥ 2
  Answer: a) −6 ≤ x ≤ 2
• 26. If |x − 1| = 3, what are the possible values of x?
  • a) 4 only
  • b) −2 only
  • c) 4 or −2
  • d) 1
  Answer: c) 4 or −2
• 27. True or False: |x| ≥ x for any real number x.
  • a) True
  • b) False
  Answer: a) True
• 28. What is |−2| + |−3|?
  • a) −5
  • b) 5
  • c) 1
  • d) −1
  Answer: b) 5
• 29. If |x| = |y|, which of the following can be true?
  • a) x = y
  • b) x = −y
  • c) Both a and b
  • d) None of the above
  Answer: c) Both a and b
• 30. The graph of y = |x − 3| is shifted how many units to the right compared to y = |x|?
  • a) 3 units
  • b) 3 units left
  • c) 1 unit right
  • d) 1 unit left
  Answer: a) 3 units
• 31. Solve |2x − 6| = 8.
  • a) x = 7 or x = −1
  • b) x = 3 or x = −1
  • c) x = 7 or x = 1
  • d) x = 3 or x = 5
  Answer: a) x = 7 or x = −1
• 32. Which of the following is true?
  • a) |xy| = |x||y|
  • b) |x + y| = |x| + |y| always
  • c) |x/y| = |x| / y
  • d) |x − y| = |y − x| only if x = y
  Answer: a) |xy| = |x||y|
• 33. What is |−(3 − 7)|?
  • a) 4
  • b) −4
  • c) 10
  • d) −10
  Answer: a) 4
• 34. The distance between points A(2,3) and B(5, |−7|) on the number line is:
  • a) 5
  • b) 7
  • c) 3
  • d) 10
  Answer: b) 7
• 35. Which inequality correctly represents |x| ≥ 2?
  • a) x ≤ −2 or x ≥ 2
  • b) −2 ≤ x ≤ 2
  • c) −2 < x < 2
  • d) x > −2 and x < 2
  Answer: a) x ≤ −2 or x ≥ 2
• 36. Simplify |−5| × |3|.
  • a) −15
  • b) 15
  • c) 8
  • d) −8
  Answer: b) 15
• 37. What is the value of |x| if x = 0?
  • a) 0
  • b) 1
  • c) −1
  • d) Undefined
  Answer: a) 0
• 38. The absolute value of a number represents:
  • a) Its distance from zero on the number line
  • b) Its square
  • c) Its negative value
  • d) Its reciprocal
  Answer: a) Its distance from zero on the number line
• 39. If |x − 2| < 5, then which of the following is true?
  • a) −3 < x < 7
  • b) 3 < x < 7
  • c) x < −3 or x > 7
  • d) x ≤ −3 or x ≥ 7
  Answer: a) −3 < x < 7
• 40. Find the absolute value of the product: |−4 × 6|.
  • a) 24
  • b) −24
  • c) 10
  • d) −10
  Answer: a) 24

• 41. If |x + 5| = 0, what is the value of x?
  • a) 5
  • b) -5
  • c) 0
  • d) 1
  Answer: b) -5
• 42. Which of the following is equivalent to |−7|?
  • a) −7
  • b) 7
  • c) 0
  • d) 1
  Answer: b) 7
• 43. Solve for x: |3x - 9| = 0.
  • a) 0
  • b) 3
  • c) -3
  • d) No solution
  Answer: b) 3
• 44. What is the value of |−10| + |−5|?
  • a) -15
  • b) 15
  • c) 5
  • d) -5
  Answer: b) 15
• 45. If |x - 4| = 7, then x can be:
  • a) 11 only
  • b) -3 only
  • c) 11 or -3
  • d) 4 only
  Answer: c) 11 or -3
• 46. True or False: |a + b| ≤ |a| + |b| for all real numbers a and b.
  • a) True
  • b) False
  Answer: a) True
• 47. Which number satisfies the inequality |x| < 2?
  • a) 3
  • b) -1
  • c) 2
  • d) -3
  Answer: b) -1
• 48. Simplify: |−4| × |−5|.
  • a) -20
  • b) 20
  • c) -9
  • d) 9
  Answer: b) 20
• 49. Which of the following is NOT a property of absolute value?
  • a) |x| ≥ 0
  • b) |xy| = |x||y|
  • c) |x + y| = |x| + |y| always
  • d) |−x| = |x|
  Answer: c) |x + y| = |x| + |y| always
• 50. Find the distance between points 3 and -8 on the number line.
  • a) 5
  • b) 11
  • c) -11
  • d) 8
  Answer: b) 11
• 51. If |2x + 1| = 5, what are the possible values of x?
  • a) 2 and -3
  • b) 3 and -2
  • c) 2 and 3
  • d) -2 and -3
  Answer: a) 2 and -3
• 52. Which expression equals |a - b| for any real numbers a and b?
  • a) |b - a|
  • b) |a + b|
  • c) |a| - |b|
  • d) -|a - b|
  Answer: a) |b - a|
• 53. True or False: |x| = x if x ≥ 0.
  • a) True
  • b) False
  Answer: a) True
• 54. What is |−7| - |4|?
  • a) 3
  • b) -3
  • c) 11
  • d) -11
  Answer: b) -3
• 55. If |x + 2| < 6, which of the following is true?
  • a) -8 < x < 4
  • b) -6 < x < 6
  • c) x < -8 or x > 4
  • d) x > 8 or x < -4
  Answer: a) -8 < x < 4
• 56. Simplify |−3| + |−2| + |−1|.
  • a) 6
  • b) -6
  • c) 0
  • d) 3
  Answer: a) 6
• 57. The value of |0| is:
  • a) 0
  • b) 1
  • c) Undefined
  • d) -1
  Answer: a) 0
• 58. Which is the graph of y = |x + 2| shifted?
  • a) 2 units left
  • b) 2 units right
  • c) 2 units up
  • d) 2 units down
  Answer: a) 2 units left
• 59. What is the solution for |x - 7| = 0?
  • a) x = 7
  • b) x = 0
  • c) x = -7
  • d) No solution
  Answer: a) x = 7
• 60. Which inequality matches |x| > 4?
  • a) x > 4 or x < -4
  • b) -4 < x < 4
  • c) x ≤ 4 and x ≥ -4
  • d) x = 4
  Answer: a) x > 4 or x < -4
• 61. If |x| = 5, what are the possible values of x?
  • a) 5 only
  • b) -5 only
  • c) 5 or -5
  • d) 0
  Answer: c) 5 or -5
• 62. Simplify |6 - 10|.
  • a) 4
  • b) -4
  • c) 16
  • d) -16
  Answer: a) 4
• 63. If |x + 3| = 7, then x equals:
  • a) 4 or -10
  • b) -4 or 10
  • c) 10 only
  • d) -10 only
  Answer: a) 4 or -10
• 64. True or False: |a| × |b| = |ab|.
  • a) True
  • b) False
  Answer: a) True
• 65. Find |−9| - |−4|.
  • a) 5
  • b) -5
  • c) 13
  • d) -13
  Answer: a) 5
• 66. The absolute value of a negative number is:
  • a) Negative
  • b) Positive
  • c) Zero
  • d) Undefined
  Answer: b) Positive
• 67. Solve |2x - 6| = 4.
  • a) x = 1 or x = 5
  • b) x = 2 or x = 3
  • c) x = 5 or x = 7
  • d) x = -1 or x = -5
  Answer: a) x = 1 or x = 5
• 68. Which of the following is true about |x + y|?
  • a) |x + y| ≤ |x| + |y|
  • b) |x + y| = |x| - |y|
  • c) |x + y| ≥ |x| + |y| always
  • d) |x + y| < 0
  Answer: a) |x + y| ≤ |x| + |y|
• 69. What is |−3| + |4|?
  • a) 1
  • b) 7
  • c) -1
  • d) -7
  Answer: b) 7
• 70. Which value satisfies |x| ≤ 3?
  • a) 5
  • b) -4
  • c) 2
  • d) 4
  Answer: c) 2
• 71. Simplify |−8| ÷ |−2|.
  • a) -4
  • b) 4
  • c) 6
  • d) -6
  Answer: b) 4
• 72. What is |x - 1| = 0 equal to?
  • a) x = 1
  • b) x = 0
  • c) x = -1
  • d) x ≠ 1
  Answer: a) x = 1
• 73. True or False: |x| = √(x²).
  • a) True
  • b) False
  Answer: a) True
• 74. If |x + 4| = 9, find the possible values of x.
  • a) 5 or -13
  • b) -5 or 13
  • c) 9 or -4
  • d) -9 or 4
  Answer: a) 5 or -13
• 75. Find |−12| + |3|.
  • a) 9
  • b) -15
  • c) 15
  • d) -9
  Answer: c) 15
• 76. Which is a solution to |2x - 1| = 7?
  • a) x = 4
  • b) x = -3
  • c) x = 3 or x = -3
  • d) x = 4 or x = -3
  Answer: d) x = 4 or x = -3
• 77. The absolute value of zero is:
  • a) 1
  • b) 0
  • c) Undefined
  • d) -1
  Answer: b) 0
• 78. Solve |3x + 2| = 8.
  • a) x = 2 or x = -10/3
  • b) x = 3 or x = -2
  • c) x = 2 or x = 10/3
  • d) x = -2 or x = 10/3
  Answer: a) x = 2 or x = -10/3
• 79. True or False: |x - y| ≥ |x| - |y|.
  • a) True
  • b) False
  Answer: a) True
• 80. Find |−5| × |−2|.
  • a) -10
  • b) 10
  • c) 7
  • d) -7
  Answer: b) 10
• 81. If |x + 6| < 3, then x is:
  • a) Between -9 and -3
  • b) Greater than 3
  • c) Less than -9
  • d) Between 3 and 9
  Answer: a) Between -9 and -3
• 82. Which of these is false?
  • a) |x| ≥ 0
  • b) |x| = -x if x < 0
  • c) |x| = x if x < 0
  • d) |−x| = |x|
  Answer: c) |x| = x if x < 0
• 83. What is the absolute value of −15?
  • a) −15
  • b) 15
  • c) 0
  • d) Undefined
  Answer: b) 15
• 84. Solve |5x - 10| = 0.
  • a) x = 2
  • b) x = 0
  • c) x = 10
  • d) No solution
  Answer: a) x = 2
• 85. Find the value of |x| if x = −7.
  • a) −7
  • b) 7
  • c) 0
  • d) −1
  Answer: b) 7
• 86. Which is the distance between points −2 and 6 on a number line?
  • a) 4
  • b) 8
  • c) −8
  • d) −4
  Answer: b) 8
• 87. True or False: |x| + |y| ≥ |x + y|.
  • a) True
  • b) False
  Answer: a) True
• 88. Which of the following is equivalent to |−x|?
  • a) −|x|
  • b) |x|
  • c) x
  • d) −x
  Answer: b) |x|
• 89. Solve |x/2| = 3.
  • a) x = 6 or x = -6
  • b) x = 3 or x = -3
  • c) x = 9 or x = -9
  • d) x = 1.5 or x = -1.5
  Answer: a) x = 6 or x = -6
• 90. What is |0 - 7|?
  • a) 7
  • b) -7
  • c) 0
  • d) 1
  Answer: a) 7
• 91. If |x + 3| = 3, what are the possible values of x?
  • a) 0 or -6
  • b) 6 or -3
  • c) 3 or -3
  • d) 3 or -6
  Answer: a) 0 or -6
• 92. True or False: |a - b| = |b - a|.
  • a) True
  • b) False
  Answer: a) True
• 93. Which value satisfies |x| ≥ 5?
  • a) 3
  • b) -6
  • c) 4
  • d) 0
  Answer: b) -6
• 94. Calculate |−4| + |x| if x = -7.
  • a) 3
  • b) 11
  • c) -11
  • d) 7
  Answer: b) 11
• 95. Simplify |x| if x² = 16.
  • a) 16
  • b) 4
  • c) -4
  • d) 0
  Answer: b) 4
• 96. What is the absolute value of |−15 + 5|?
  • a) 10
  • b) -10
  • c) 20
  • d) -20
  Answer: a) 10
• 97. Which of these represents the triangle inequality?
  • a) |x + y| ≤ |x| + |y|
  • b) |x + y| = |x| + |y| always
  • c) |x - y| = |x| - |y|
  • d) |x + y| ≥ |x| + |y|
  Answer: a) |x + y| ≤ |x| + |y|
• 98. Solve |x - 2| = 5.
  • a) x = 7 or x = -3
  • b) x = 3 or x = 7
  • c) x = -7 or x = 3
  • d) x = -7 or x = -3
  Answer: a) x = 7 or x = -3
• 99. Find |−3| - |x| when x = 2.
  • a) 1
  • b) -1
  • c) 5
  • d) -5
  Answer: a) 1
• 100. What is |x| if x = 0?
  • a) 0
  • b) 1
  • c) Undefined
  • d) -1
  Answer: a) 0