# Absolute Value Equations

**Question description**

**Question
2 **

- Which of the following could be equal to -|x|? Select all that apply.

A. -1

B. -2

C. 1

D. 2

**Question
4 **

- Simplify the expression: -|1-4|

A.3

B. -3

C. 5

D.-5

**Question
5 **

- Evaluate the expression |x-10|when x=-8

A. -8

B. -18

C. 8

D. 18

**Question
6 **

- Select the set of equations that would be used to solve
the following absolute value equation: |x-3|=9

A.
x-3=9 and x-3=-9

B.
x-3=9 and x+3=9

C.
x-3=9 and –x-3=-9

D.
x-3=9 and –x+3=-9

**Question
7 **

- Select the solutions to the following absolute value
equation: |x+5|=26

A. x=-26 or x=26

B.
x=21 or
x=-21

C.
x=21 or
x=-31

D. x=26 or x=21

**Question
8 **

- Which of the following equations have no solution?
Select all that apply.

A.
|x|=-9

B.
|x|=-7

C.
|x|=93.2

D.
|x|=5

**Question
9 **

- Select the solutions to the following absolute value
equation: |4x-6|=14

A. x=6 or x=14

B.
x=5
or x=-2

C.
x=5
or x=-5

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