Absolute Value Equations and Inequalities

One-Step Absolute Value Equations

100

l3xl=27

x=-9,9

200

lx+5l + 10 =10

x=-5

300

l4x+22l+5=1

No Solution

400

l8pl=4

p=-1/2 , 1/2

500

l17d/4l=127

x=-508/7 , 508/7

Multi-Step Absolute Value Equations

100

lv+8l-5=2

v=-15 , x = -1

200

l5xl+5=45

x=-8 , x = 8

300

6l1-5xl-9=57

x=-2, 12/5

400

l2x+4l=16

x=6 , x=-10

500

2l10x+4l+6=50

x=9/5 , x=-13/5

Trivia

100

What is the capital of Iowa?

Des Moines

200

What is the human body’s largest organ?

Skin

300

At a restaurant, you’ll see deer meat on the menu under what name?

Venison

400

What temperature does water boil at?

100 degrees Celsius

500

Which planet in our solar system has the most moons?

Jupiter

One Step Absolute Value Inequalities

100

|x + 1| > 15

x < -16 or x > 14 

200

|2x| - 5 < 3 

-4 < x < 4 

300

|5x - 2| >= 10 

x <= -8/5  or  x >= 12/5

400

3|x - 8| <= 27

-1 <= x <= 17 

500

|a - 13| < 0.5

-12.5 < a < 13.5 

Multi-Step Absolute Value Inequalities

100

lx+2l+2<4

-4<x<0

200

2lx+3l>8

x<-7 or x>1

300

2lx+2l-1<8

-5<x<1

400

2lx+9l+3>7

x>-7 or x<-11

500

3lx/7l>21

x>49 or x<-49