SOLVING ABSOLUTE VALUE EQUATIONS GRAPHICALLY WORKSHEET

Solve each equation by graphing a system.

Problem 1 :

|x + 3| = 2

Solution

Problem 2 :

|x - 3| = 1

Solution

Problem 3 :

|x + 1| = 1

Solution

Problem 4 :

|1 + x| = 3

Solution

Problem 5 :

3|x – 2| + 3 = 6

Solution

Problem 6 :

3 - 4|x - 1| = -1

Solution

Problem 7 :

4 + |x + 1| = 5

Solution

Problem 8 :

2|x + 2| + 3 = 5

Solution

Answer Key

1)  So, solutions are -5 and -1.

solvingabwithgraphingq1

2)  So, solutions are x = 2 and x = 4.

solvingabwithgraphingq2

3)  So, solutions are x = -2 and x = 0.

solvingabwithgraphingq3

4)  So, solutions are x = -2 and x = 0.

solvingabwithgraphingq4

5)  So, solutions are x = 1 and x = 3.

solvingabwithgraphingq5

6)  So, solutions are x = 0 and x = 2.

solvingabwithgraphingq6

7)  So, solutions are x = -2 and x = 0.

solvingabwithgraphingq7

8)  So, solutions are x = -3 and x = -1.

solvingabwithgraphingq8

Problem 1 :

Solve for x :

|(3x + 2)/(1 – x)| = 4

Solution

Problem 2 :

Solve for x :

|x /(x – 1)| = 3

Solution

Problem 3 :

Solve for x :

|(2x - 1)/(x + 1)| = 5

Solution

Problem 4 :

Solve for x :

|(x + 3)/(1 – 3x)| = 1/2

Solution

Problem 5 :

Solve for x :

|x/(x – 2)| = 3

Solution

Problem 6 :

Solve for x :

|(2x + 3)/(x – 1)| = 2

Solution

Answer Key

1)  So, the values of x are 2/7 and 6.

2)  So, the values of x are 3/2 and 3/4.

3)  So, the values of x are -2 and -4/7.

4)  So, the values of x are -1 and 7.

5)  So, the values of x are 3 and 3/2.

6)  So, the value of x is -1/4.

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