Rules
Absolute value Equations
Absolute value Inequalities
BONUS
100

What do you do first to solve an Absolute Value Equation?

Get the Absolute Value bars by themselves

100

| d + 5 | = 9

What is { 4 , -14 }

100

| w + 9 | < 17

 w< 8 and w> -26

100

| x - 6 | > 35

x> 41 , x<-29 

200

How many equations should you have when solving absolute value?

Two

200

| a - 6 | = 10

What is { 16 , -4 }

200

2 | x + 5 | > 22

x< -16 , x>6 

200

| t + 9 | - 8 < 5

x< 4 , x> -22 

300

Absolute value equations can never be equal to this

A negative number

300

3 | r - 4 | = 21

What is { -3 , 11 }

300

3 | 2a - 4 | < 24

a<6, a>-2

300

8 | 5w - 1 | > 24

w > 4/5, w< -2/5 

400

How do you set up the two absolute value equations?

One is positive on the right side and the other is negative

400

6 | g - 3 | = 42

What is { 10 , -4 }

400

2 | y + 4 | > 14

y>3, y<-11

400

5| 3b - 10 | > 15

b> 13/3, b< 7/3

500

Describe how you know which way to shade the number line when doing absolute value inequalities.

Shade left for less than signs and shade right for greater than signs.

500

2| 7y + 2 | - 3 = 11

What is { 5/7, -9/7}

500

-3 | 3t - 2 | -12 > -15

t>1, t< 1/3

500

 | 3z + 8 |  > -20

No solution