SOLVING ABSOLUTE VALUE EQUATIONS ON BOTH SIDES WORKSHEET

Solve for x.

Problem 1 :

|x + 1| = |2 – x|

Solution

Problem 2 :

|x| = |5 – x|

Solution

Problem 3 :

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

Solution

Problem 4 :

|2x + 5| = |1 – x|

Solution

Problem 5 :

|1 – 4x| = 2|x – 1|

Solution

Problem 6 :

|3x + 2| = 2|2 – x|

Solution

Answer Key

1)  x = 1/2

2)  x = 5/2

3)  x = -1/4, x = 3/2

4)  x = -4/3, x = -6

5)  x = -1/2, x = 1/2

6)  x = 2/5, x = -6

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