Solving Absolute Value Equations

Add/Subtract

100

Solve |x+2|=4

What is x=-6 or x=2

200

Solve |x-5|=3

What is x=2 or x=8

300

Solve |x|+3=5

What is x=-2 or x=2

400

Solve |x|-7=-2

What is x=-5 or x=5

500

Solve |x+4|-6=-3

What is x=-7 or x=-1

Multiply/Divide

100

Solve |4x|=8

What is x=-2 or x=2

200

Solve |x/3|=5

What is x=-15 or x=15

300

Solve 3|x|=12

What is x=-4 or x=4

400

Solve |x|/7=6

What is x=-42 or x=42

500

Solve -3|x/6|=-18

What is x=-36 or x=36

Multiple Operations

100

Solve |2x-3|=11

What is x=-4 or x=7

200

Solve 2|x-3|=-49

What is NO SOLUTION

300

Solve |5x|+8=48

What is x=-8 or x=8

400

Solve 3|-8x|+8=80

What is x=-3 or x=3

500

Solve (|7x+4|)/8=3

What is x=-4 or x=20/7

Mixed Operations

100

Solve |x/7|-8=-7

What is x=-7 or x=7

200

Solve (|x-5|)/8=5

What is x=-35 or x=45

300

Solve -10|x+2|=-70

What is x=-9 or x=5

400

Solve |x|=-52

What is NO SOLUTION

500

Solve 5-8|-2x|=-75

What is x=-5 or x=5

Challenge Problems

100

Solve 3-|8x-6|=3

What is x=3/4

200

Solve 6|1-5x|-9=57

What is x=-2 or x=12/5

300

Solve 2-5|5x-5|=-73

What is x=-2 or x=4

400

Solve 5|9-5x|-7=38

What is x=0 or x=18/5

500

Solve |7+3x|=11-x

What is x=-9 or x=1