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Absolute value equations and inequalities

Quiz by Matt Dion

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11 questions
Show answers
  • Q1
    What is the solution to the absolute value equation |2x - 1| = 3?
    x = 1 or x = 2
    x = -2 or x = 1
    x = 2 or x = -1
    x = 3 or x = -3
    30s
  • Q2
    Which inequality represents the solution to the absolute value inequality |3x + 5| ≥ 10?
    x ≤ 5 or x ≥ -5/3
    x ≥ -5 or x ≤ 5/3
    x ≤ -10/3 or x ≥ 10/3
    x ≤ -5 or x ≥ 5/3
    30s
  • Q3
    What is the solution to the absolute value equation |6x - 9| = 15?
    x = 15 or x = -15
    x = 4 or x = -1
    x = 6 or x = -9
    x = 9 or x = -6
    30s
  • Q4
    Which inequality represents the solution to the absolute value inequality |2x + 4| < 8?
    -8 < x < -4
    -4 < x < 8
    -2 < x < 6
    -6 < x < 2
    30s
  • Q5
    What is the solution to the absolute value inequality |2x - 7| > 11?
    x < -9 or x > 2
    x > -9 or x < 2
    x > -2 or x < 9
    x < -2 or x > 9
    30s
  • Q6
    What is the solution to the equation |-3x + 5| = 10?
    -5/3, 5/3
    5/3, 5/3
    5/3, -5/3
    -5/3, 5
    30s
  • Q7
    What is the solution to the absolute value inequality |-4x + 3| < 9?
    -6/4 < x < 3
    6/4 < x < 3
    -6/4 < x < -3
    -6/4 < x < -12
    30s
  • Q8
    What are the solutions to the absolute value inequality |2x + 7| ≥ -3?
    No solution
    x > -5/2 and x < 1/2
    x < -5/2 or x > 1/2
    All real numbers
    30s
  • Q9
    Which inequality represents the solution to the absolute value inequality |5 - 2x| ≤ 3?
    -1/2 ≤ x ≤ 4
    1/2 ≤ x ≤ -4
    1/2 ≤ x ≤ 4
    -1/2 ≤ x ≤ -4
    30s
  • Q10
    Which of the following is the correct solution to the inequality -3|x - 2| < 9?
    x < -1 or x > 4
    x < -2 or x > 4
    x < -2 or x > 5
    All Real Numbers
    x < -1 or x > 5
    30s
  • Q11
    Which of the following is the correct solution to the inequality -2|x - 1| > 6?
    x < -1 or x > 4
    x < -2 or x > 3
    x < -2 or x > 4
    No solution
    x < -1 or x > 3
    30s

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