Absolute value equations and inequalities

Quiz by Matt Dion

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11 questions

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- Q1What is the solution to the absolute value equation |2x - 1| = 3?x = 1 or x = 2x = -2 or x = 1x = 2 or x = -1x = 3 or x = -330s
- Q2Which inequality represents the solution to the absolute value inequality |3x + 5| ≥ 10?x ≤ 5 or x ≥ -5/3x ≥ -5 or x ≤ 5/3x ≤ -10/3 or x ≥ 10/3x ≤ -5 or x ≥ 5/330s
- Q3What is the solution to the absolute value equation |6x - 9| = 15?x = 15 or x = -15x = 4 or x = -1x = 6 or x = -9x = 9 or x = -630s
- Q4Which inequality represents the solution to the absolute value inequality |2x + 4| < 8?-8 < x < -4-4 < x < 8-2 < x < 6-6 < x < 230s
- Q5What is the solution to the absolute value inequality |2x - 7| > 11?x < -9 or x > 2x > -9 or x < 2x > -2 or x < 9x < -2 or x > 930s
- Q6What is the solution to the equation |-3x + 5| = 10?-5/3, 5/35/3, 5/35/3, -5/3-5/3, 530s
- Q7What is the solution to the absolute value inequality |-4x + 3| < 9?-6/4 < x < 36/4 < x < 3-6/4 < x < -3-6/4 < x < -1230s
- Q8What are the solutions to the absolute value inequality |2x + 7| ≥ -3?No solutionx > -5/2 and x < 1/2x < -5/2 or x > 1/2All real numbers30s
- Q9Which inequality represents the solution to the absolute value inequality |5 - 2x| ≤ 3?-1/2 ≤ x ≤ 41/2 ≤ x ≤ -41/2 ≤ x ≤ 4-1/2 ≤ x ≤ -430s
- Q10Which of the following is the correct solution to the inequality -3|x - 2| < 9?x < -1 or x > 4x < -2 or x > 4x < -2 or x > 5All Real Numbersx < -1 or x > 530s
- Q11Which of the following is the correct solution to the inequality -2|x - 1| > 6?x < -1 or x > 4x < -2 or x > 3x < -2 or x > 4No solutionx < -1 or x > 330s