Absolute Value Equations
Solve and Graph Inequalities
Absolute Value Inequalities
Solve Equations
1

Solve for x.

Remember Absolute Value Equations should have 2 answers!

abs(2x+9)=15

x=(-12,3)

1

When shading the solution below, would you shade to the LEFT or to the RIGHT?

x>=4

to the Right

1

When solving Absolute Value Inequalities, what are the two things you must do?

Flip - the inequality symbol

Change - the sign of the number after the inequality symbol

1

Solve the following equations:

5x−7=18

x = 5

2

Solve for x.

Remember Absolute Value Equations should have 2 answers!

abs(8-4x)=16

x=(-2,6)

2

Solve.

s-10<=1

s<=11

2

Solve.

abs(2w-1)<11

-5<w<6

2

Solve the following equation:

3(2y+4)=30

y = 3

3

Solve for v.

Remember Absolute Value Equations should have 2 answers! 

abs(v+8)-5=2

v=(-15,-1)

3

Solve the inequality. 

x+4<4

x<0

3

When solving absolute value inequalities, which type involves the following symbols?

>, >=

OR

3

Solve for z

4z+3−2z=17

x = 7

4

Solve.

Remember Absolute Value Equations should have 2 answers!

abs(x-12)-3=11

x=(-2,26)

4

Find the solution to the following inequality.

-6a>=-36

a<=6

4

Solve and Graph.

abs(x+4)>5

4

Solve the following equations

(2y-4)/3 = 6

x = 7

5

Solve for r.

Remember Absolute Value Equations should have 2 answers!

-2abs(-2r-4)=-12

r=(-3,-1)

5

What is the solution to the following inequality?

3x-7<2

x<3

5

Solve.

-5abs(4+n)<-15

n> -1 or n< -7

5

Solve the following equation:

(3x+2)/4 = (x-1)/2

x = -4

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