Absolute Value Equations and Inequalities

Solve the absolute value equation: |2x - 5| = 7

• x = 2, -3

• x = 4, -5

• x = 8, -9

• x = 6, -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation: |3x + 2| = 10

• x < -2/3 or x > -2/3

• x > -2/3 or x = 2/3

• x < -2/3 or x = 2/3

• x < -2/3 or x > 2/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation: |4x - 3| = 1

• x = 1, x = 0.5

• x = 1, x = -0.5

• x = 2, x = 0.5

• x = -1, x = 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

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

• x = -8/5, 2

• x = 9/5, -3

• x = 7/5, -1

• x = 8/5, -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2x - 3| < 5

• -1 < x < 4

• -3 < x < 5

• -2 < x < 4

• -1 < x < 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |3x + 4| > 8

• x < -4 or x > 4/3

• x < 4/3 or x > -4

• x < -4 or x > -8

• x < -4 or x > 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |4x - 2| ≤ 6

• x < 0.5 or x > 0.5

• x < 0.5 and x > 0.5

• x ≤ 0.5 or x > 0.5

• x < 0.5 or x ≥ 0.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |5x + 3| ≥ 7

• x ≤ -2 or x ≥ 4/5

• x ≤ -2 or x ≥ 1

• x ≤ -2 or x ≥ 3

• x ≤ -2 or x ≥ 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |3x + 4| > 8

• x < -4 or x > 8

• x < -4 or x > -8

• x < 4/3 or x > -4

• x < -4 or x > 4/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the absolute value inequality: |2x - 3| < 5

• -2 < x < 4

• -1 < x < 3

• -1 < x < 5

• -1 < x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3