Absolute Value Equations

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Absolute Value Equations

Question 2

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

A.   -1

B.    -2

C.    1

D.   2

Question 4

  1. Simplify the expression: -|1-4|

A.3

B. -3

C. 5

D.-5

Question 5

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

A.   -8

B.    -18

C.    8

D.   18

Question 6

  1. 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

  1. 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

  1. 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

  1. 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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