SOLVING EQAUTIONS WITH ABSOLUTE VALUES ON BOTH SIDES WORKSHEET

Solve the following absolute value equations.

Problem 1 :

|x + 4| = |2x - 7|

Solution

Problem 2 :

|3x + 5| = |x - 6|

Solution

Problem 3 :

|x - 9| = |x + 6|

Solution

Problem 4:

|x + 4| = |x - 3|

Solution

Problem 5 :

|5t + 7| = |4t + 3|

Solution

Problem 6 :

|3a - 1| = |2a + 4|

Solution

Problem 7 :

|n - 3| = |3 - n|

Solution

Problem 8 :

|y - 2| = |2 - y|

Solution

Problem 9 :

|7 - a| = |a + 5|

Solution

Problem 10 :

|6 - t| = |t + 7|

Solution

Problem 11 :

|1/2x - 5| = |1/4x + 3|

Solution

Answer Key

1) x = 1 or x = 11.

2)  x = -11/2 or x = 1/4.

3)  x = 3/2.

4) x = -1/2.

5)  t = -4 or t = -10/9.

6)  a = 5 or a = -3/5.

7)  all real values of n

8)  all real values of n

9)  a = 1.

10) t = -1/2.

11) x = 32 or x = 8/3.

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