Absolute Value Equations and Inequalities Quiz

Solve the absolute value equation: |2x + 3| = 7

• x = 5 or x = -2

• x = 10 or x = -1

• x = 2 or x = -5

• x = 3 or x = -4

Graph the solution set for the absolute value inequality: |x - 4| < 5

• The graph of the solution set is a single point at x = 4.

• The graph of the solution set is a shaded region on the number line between 3 and 7.

• The graph of the solution set is a shaded region on the number line between -5 and 5.

• The graph of the solution set is a shaded region on the number line between -1 and 9.

Solve the absolute value inequality: |3x - 2| ≥ 10

• x ≤ -5

• x ≥ 7

• x ≤ 2

• x ≤ -8/3 or x ≥ 12/3

Solve the absolute value equation: |5x + 1| = 9

• x = 1.6 and x = 3

• x = -5 and x = -2

• x = 1.6 and x = -2

• x = 3 and x=9

Graph the solution set for the absolute value inequality: |2x - 6| > 8

• The solution set is x < -1 or x > 7.

• The solution set is x < -5 or x > 5.

• The solution set is x < 0 or x > 8.

• The solution set is x < 3 or x > 9.

Solve the absolute value inequality: |4x + 7| < 3

• x < -7

• x > 0

• x > 3

• -5/4 < x < -5/4

Solve the absolute value equation: |3x - 5| = 2

• x = 3/2 or x = 1/2

• x = 4/3 or x = 2

• x = 7/3 or x = 1

• x = 5/3 or x = 1

Graph the solution set for the absolute value inequality: |x + 2| ≤ 4

• The graph of the solution set is an open interval from -6 to 2 on the number line.

• The graph of the solution set is a closed interval from -2 to 6 on the number line.

• The graph of the solution set is a single point at x = 2 on the number line.

• The graph of the solution set is a closed interval from -6 to 2 on the number line.

Solve the absolute value inequality: |6x - 9| > 15

• x < -1 or x > 4

• x > 10

• x < 3

• x < 0

Solve the absolute value equation: |4x + 8| = 20

• x = 1 or x = -9

• x = 5 or x = -13

• x = 3 or x = -7

• x = 10 or x = -2