Absolute Value Equations/Inequalities

Solve this equation. 
|-6x| = 30

• x = -5
• No solution
• x = 5, -5
• x = 5 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation. 
|x/7| = 3

• No solution
• x = 21
• x = 21, -21
• x = -21

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve the equation. 
|m| + 2 = 11

• m = -9
• m = 9
• m = -13, 9
• m = 9, -9

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.NS.C.7

Solve the equation. 
4|n + 8| = 56

• n = 6
• n = -22
• n = 6, -22
• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation. 
-10|v + 2| = -70

• v = 5
• v = -9
• v = 5,-9
• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the inequality. 
|k| - 6 ≤ -1

• k ≤ 5
• k ≤ -5
• k ≤ -5, 5
• -5 ≤ k ≤ 5

Tags

CCSS.HSA.REI.B.3

Solve the inequality. 
|m| + 5 < 9

• m < 4
• m < -4
• -4 < m < 4
• m < 4,-4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality. (hint: isolate the absolute value). 
8 + |4v - 7| ≥ 17

• No solution
• v ≥ 9
• v ≥ 4
• -1/2 ≥ v ≥ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality. 
|x + 4|/5 ≤ 2

• x ≤ 6
• x ≥ -14
• No solution
• -14 ≤ x ≤ 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality. 
|3 + r|/7 < 5

• r < 32
• -38 < r < 32
• r < -38
• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3