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Worksheets

Solve and Graph Absolute Value Equations

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Solve and determine if the graph represents the correct answer

5|20x + 10| + 5 = -245

a)

b)

c)

d)

2.

Solve and determine if the graph represents the correct answer


27 = 5|6x -30| - 3

a)

b)

c)

d)

3.

Solve and determine if the graph represents the correct answer



-1 + 3|2x + 4| = 17

a)

b)

c)

d)

4.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

5.

What is the equation of the graph below?

a)

f(x) = I x + 2 I 

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I 

6.

Identify the equation of the graph.

a)

y = |x - 1| - 1

b)

y = |x + 1| - 1

c)

y = |x - 1| +1

d)

y = |x + 1| + 1

7.

How many solutions does the equation have?

a)

no solution

b)

one solution

c)

two solutions

8.

How many solutions does the equation have? 4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

9.

Solve.
|−4 + 5x| = 16

a)

x = 16/5
x = 12/5

b)

x = 4
x = -5

c)

x = -12/5
x = 4

d)

x = 4

10.

Solve
|x – 12| - 3 = 11.

a)

x = -2
x = -26

b)

x = -2
x = 26

c)

x = 3
x = 25

d)

x = 4
x =  -7

11.

Solve.
2|x + 1| - 5 = 5

a)

x = 4
 x = 6

b)

x = -4
 x = 6

c)

x = -6
x = 4

d)

no solution

12.

−2|−2r − 4| = -12

a)

x = 5 and x = 1

b)

x = -5 and x = -1

c)

x = -5 and x = 1

d)

No Solution

13.

Solve for n:

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

14.

Solve for x
3 l 4w−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

15.

What is the equation of the graph below?

a)

f(x) = I x + 2 I 

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I 

16.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

17.

Solve the absolute Value inequality and graph. 

a)

A

b)

B

c)

C

d)

D

18.

Solve the absolute Value inequality and graph. 

a)

A

b)

B

c)

C

d)

D

19.

Solve for x
∣ 2x + 9 ∣ = 15

a)

x = 3 

b)

x = 3   x = -6

c)

x = 3   x = -12

d)

x = 6   x = -12

20.

Solve for x 
|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution