Absolute Value Equations

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Tags

CCSS.6.NS.C.7C

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Tags

CCSS.6.NS.C.7C

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Tags

CCSS.7.EE.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.6.NS.C.7C

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

Tags

CCSS.6.NS.C.7C

Evaluate each expression.

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4}

• no solution

Tags

CCSS.6.NS.C.7C

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions

Tags

CCSS.6.NS.C.7C

Solve:
3 | 2x + 7| + 7 < 4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:
|x + 4| + 8 > 2

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3