Absolute Value Equations and Inequalities

Random

100

This planet is known as the red planet

Mars

200

What is the largest mammal on earth?

The Blue Whale

300

What is the most famous American Document written in 1776?

The Declaration of Independence

400

The songs "Runaway" and "Power" by Kanye West were in what famous album released in 2010?

My Beautiful Dark Twisted Fantasy

500

This river is the longest river in the world, stretching over 4,000 miles

The Nile River

Multi-Step Inequalities

100

-15 + x < -28

x < -13

200

54>-9x

x> -6

300

-5 + ^x/₈ > -3

x>16

400

7 (3-5x) + 3 < -30 - 8x

x >2

500

³/₂ (4x - 8) > 4 (x+3) - 6x

x >3

Compound Inequalities

100

x + 5 > 10 or 2x<20

What is x > 5 or x < 10

200

-19 < 2x - 3 < 11

What is -8 < x < 7

x>-8, x<7

300

-38 < -5x + 7 < -13

What is 4 < x < 9

x>4, x<9

400

[3(x - 7)]/2 < 3 or 8(x - 7) > 32

What is x < 9 or x > 11

500

-12-6x>x-12

x< 0

"One-Step" Absolute Value Inequalities

100

l6nl<18

What is -3 < n < 3

n>-3,   n<3

200

lx-2l<8

What is -6 < x < 10

x>-6,   x<10

300

l1-6bl>4

What is b<-1/2 or b>0.833

400

|2-x| > 5

x> 7

x<-3

500

|[3(2-x)]/5| < 20

What is -94/3 < x < 106/3

x> -31.33,  x<35.33333

Multi-Step Absolute Value Inequalities

100

lx+2l+2<4

What is -4 < x < 0

200

2lx+3l+4>8

What is x < -5 or x > -1

300

-2lx+2l-1<-8

What is -11/2<x<3/2

400

3-2l4x+9l>-11

What is -4 < x < -1/2

500

-|9-3x| + 3 > 0

What is 2 < x < 4