Solving Absolute Value and Proportions Equations

Add/Subtract

100

Solve |x+2|=4

What is x=-6 & x=2

200

Solve |x-5|=3

What is x=2 & x=8

300

Solve |x|+3=5

What is x=-2 & x=2

400

Solve |x|-7=-2

What is x=-5 & x=5

500

Solve |x+4|-6=-3

What is x=-7 and x=-1

Multiply/Divide

100

Solve |4x|=8

What is x=-2 and x=2

200

Solve |x/3|=5

What is x=-15 and x=15

300

Solve 3|x|=12

What is x=-4 & x=4

400

Solve |x|/7=6

What is x=-42 & x=42

500

Solve -3|x/6|=-18

What is x=-36 & x=36

Multiple Operations

100

Solve |2x-3|=11

What is x=-4 & x=7

200

Solve 2|x-3|=-49

What is NO SOLUTION

300

Solve |5x|+8=48

What is x=-8 & x=8

400

Solve 3|-8x|+8=80

What is x=-3 & x=3

500

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

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

Grab Bag

100

Solve 2x - 3 < 5

What is x < 4?

200

Solve 12(x + 1) - 7(2x - 3) = -2x + 30

What is no solutions?

300

Solve 2x > 10 AND x -3 < 1

What is no solutions?

400

Solve |x|=-52

What is NO SOLUTION

500

Solve 3x - 1 > 4 OR -x - 2 > 1

What is x > 5/3 or x < -3

Proportions

100

6/(x-8) = 2/(x+6)

x = -13

200

a/2 = (a-4)/6

a =  -2

300

(x +2)/6 = (2x-10)/8

x = 19

400

(x +2)/(x-1) = 3/2

x=7

500

(3x)/6 = (2x+2)/4

No solutions