SOLVE ABSOLUTE VALUE EQUATIONS WORKSHEET

Problem 1 :

Solve for m :

|6m|  =  42

Problem 2 :

Solve for x :

|6x|  =  30

Problem 3 :

Solve for k :

|k - 10|  =  3

Problem 4 :

Solve for x :

|x/7|  =  3

Problem 5 :

Solve for a :

|a - 5|/8  =  5

Problem 6 :

Solve for p :

-3|p|  =  -12

Problem 7 :

Solve for m :

|7m| + 3  = 73

Problem 8 :

Solve for v :

-10|v + 2|  =  -70

Problem 9 :

Solve for v :

|-9 + v|/8  =  3

Problem 10 :

Solve for x :

8|x + 7| + 4  =  -6|x + 7| + 32

Answers

1. Answer :

|6m|  =  42

2. Answer :

|6x|  =  30

3. Answer :

|k - 10|  =  3

4. Answer :

|x/7|  =  3

5. Answer :

|a - 5|/8  =  5

Multiply each side by 8. 

|a - 5|  =  40

6. Answer :

-3|p|  =  -12

Divide each side by -3. 

|p|  =  4

7. Answer :

|7m| + 3  = 73

Subtract 3 from each side. 

|7m|  =  70

8. Answer :

-10|v + 2|  =  -70

Divide each side by -10. 

|v + 2|  =  7

9. Answer :

|-9 + v|/8  =  3

Multiply each side by 8. 

|-9 + v|  =  24

10. Answer :

8|x + 7| + 4  =  -6|x + 7| + 32

Add 6|x + 7| to each side.

8|x + 7| + 4  =  -6|x + 7| + 32

14|x + 7| + 4  =  32

Subtract 4 from each side. 

14|x + 7|  =  28

Divide each side by 14.

|x + 7|  =  2

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