Absolute Value Equations and Inequalities

Solve for x
3∣ 2x + 9 ∣ = 45

• x = 3 
• x = 3   x = -6
• x = 3   x = -12
• x = 6   x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x 
|−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x
2| m - 2 | - 3 < 13

• 9 > m > 8
• 2 < m < -6
• -6 < m < 10
• 0 > m < 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve for x
2 + 5| x - 7 | > 17

• x > 4 or x < 10

• 4 < x < 10
• ( 4 , 10 )

• x > 10 or x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x
| 2x – 3 | + 5 =10.

• { -1, 1 }
• { -1, 4 }
• { -1, -4 }
• { 1, 4 }

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve for x
∣ -2x + 9 ∣ > 15

• x < - 2 or x > 7

• -2 < x < 7

• x < - 3 or x > 12

• -3 < x > 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x
| 6 - 2x | = -5

• 11/2, 1/2
• -5, 5
• 1, 3
• ⊘ No solution

Tags

CCSS.HSA.REI.B.3

What is the proper inequality solution for the graph?

• -4 < x < 2
• x < -4 or x > 2

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

What is the proper absolute value inequality for the graph?

• | x + 1 | < 3
• | x - 1 | > 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12