Absolute Value Equations and Inequalities

Simple Absolute Value Equations

100

l3xl=27

x=-9 or 9

200

What is lx+5l=10

x=-15 or 5

300

l4xl=30

x=7.5 or 7.5

400

l8p/3l=4

p=-1.5 or 1.5

500

l17d/4l=127

x=-508/17 or 508/17

x=-29.88 or 29.88

Multi-Step Absolute Value Equations

100

lv+8l-5=2

v=-15 or -1

200

l5xl+5=45

x=-8 or 8

300

lx-10l-9=40

x=59 or -39

400

l8x+4l/2=16

x=-9/2 or 7/2

x=-4.5 or 3.5

500

6l1-5xl-9=57

x=-2 or 2.4

One-Step Absolute Value Inequalities

100

l6nl<18

-3<n<3

200

lx-2l<8

-6<x<10

300

l1+bl<4

-5<b<3

400

l10p-4l<34

-3<p<3.8

500

l5+b/5l<10

-75<b<25

Multi-Step Absolute Value Inequalities

100

lx+2l+2>4

x>0 or x<-4

200

2lx+3l>8

x<-7 or x>1

300

3lx+2l-1>8

x>1 or x<-5

400

2lx+9l+3>7

x>-7 or x<-11

500

3lx/7l>21

x>49 or x<-49