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Absolute Value Equations

Total questions: 20

Worksheet time: 49mins

Name
Class
Date
1.
Solve for x
l 5x l = 40
a)
x = 8 and x =-8
b)
x = 35 and x = -35
c)
Only x = 8
d)
No Solution
2.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
3.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
4.
Solve:
a)
{24}
b)
{-6, -8}
c)
{16, 4}
d)
{24, -24}
5.
a)
{4, -4}
b)
{9, -9}
c)
{5, -9}
d)
{13, -1}
6.

Solve for p

-6|-8p - 7| = -15

a)

-19/16, -9/16

b)

1/4, -3.5

c)

9/16, -9/16

d)

-19/16

7.

Solve for k.

|k - 9| = 4

a)

5, 13

b)

-5, -13

c)

5, -5

d)

13

8.

solve for b.

|b + 4| - 4 = 0

a)

-8, 0

b)

0

c)

-8

d)

1 , -1

9.

solve for t.

|t - 8| + 4 = 11

a)

1, 15

b)

-23, 7

c)

15

d)

15, -15

10.

Solve. Select BOTH solutions.

 x5=3\left|\frac{x}{5}\right|=3  

a)

8

b)

-8

c)

15

d)

-15

11.

Solve. Select BOTH solutions.

 x1=3\left|x-1\right|=3  

a)

-2

b)

2

c)

4

d)

-3

12.

Solve. Select BOTH solutions.
 4+x=10\left|-4+x\right|=10  

a)

 66  

b)

 1414  

c)

 52\frac{5}{2}  

d)

 6-6  

13.

Solve

a)

A

b)

B

c)

C

d)

D

14.

Solve

a)

A

b)

B

c)

C

d)

D

15.

Solve

a)

A

b)

B

c)

C

d)

D

16.

Solve

a)

A

b)

B

c)

C

d)

D

17.

Solve

a)

A

b)

B

c)

C

d)

D

18.

Solve

a)

A

b)

B

c)

C

d)

D

19.

Solve

a)

A

b)

B

c)

C

d)

D

20.

Solve

a)

A

b)

B

c)

C

d)

D