SOLVING ABSOLUTE VALUE EQUATIONS WORKSHEET

Write the solution set of each equation.

Problem 1 :

│x - 5│ = 12

Solution

Problem 2 :

│x + 8│ = 6

Solution

Problem 3 :

│2a - 5│ = 7

Solution

Problem 4 :

│5b - 10│ = 25

Solution

Problem 5 :

│3x - 12│ = 9

Solution

Problem 6 :

│4y + 2│ = 14

Solution

Problem 7 :

│35 - 5x│ = 10

Solution

Problem 8 :

│-5a│+ 7 = 22

Solution

Problem 9 :

│8 + 2b│ - 3 = 9

Solution

Problem 10 :

│2x - 5│ + 2 = 13

Solution

Problem 11 :

│4x - 12│ + 8 = 0

Solution

Problem 12 :

│7 - x│ + 2 = 12

Solution

Solve each equation. Check for extraneous solution.

1)  |3x – 4| = x              Solution

2)  |x + 24| = -7x         Solution

3)  |8x – 1| = 6x               Solution

4)  |4x + 5| = 2x + 4        Solution

5)  |9 – 2x| = 10 + 3x           Solution

6)  |8 + 5x| = 7 - x           Solution

7)  |x – 1| = 5x + 10         Solution

8)  |2z – 3| = 4z - 1          Solution

9)  |3x + 5| = 5x + 2           Solution

10)  |2y – 4| = 12           Solution

11)  3|4w – 1| - 5 = 10           Solution

12)  |2x + 5| = 3x + 4          Solution