# 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 Problem 1 :

Solve for m :

|6m|  =  42 6m  =  42Divide each side by 6.m  =  7 6m  =  42Divide each side by 6. m  =  -7

Problem 2 :

Solve for x :

|6x|  =  30 6x  =  30Divide each side by 6. x  =  5 6x  =  -30Divide each side by 6. x  =  -5

Problem 3 :

Solve for k :

|k - 10|  =  3 k - 10  =  3Add 10 to each side.k  =  13 k - 10  =  -3Add 10 to each side.k  =  7

Problem 4 :

Solve for x :

|x/7|  =  3 x/7  =  3Multiply each side by 7.x  =  21 x/7  =  -3Multiply each side by 7.x  =  -21

Problem 5 :

Solve for a :

|a - 5|/8  =  5

Solution :

|a - 5|/8  =  5

Multiply each side by 8.

|a - 5|  =  40

 a - 5  =  40Add 5 to each side.a  =  45 a - 5  =  -40Add 5 to each side.a  =  -35

Problem 6 :

Solve for p :

-3|p|  =  -12

Solution :

-3|p|  =  -12

Divide each side by -3.

|p|  =  4

 p  =  4 p  =  -4

Problem 7 :

Solve for m :

|7m| + 3  = 73

Solution :

|7m| + 3  = 73

Subtract 3 from each side.

|7m|  =  70

 7m  =  70Divide each side by 7. m  =  10 7m  =  -70Divide each side by 7. m  =  -10

Problem 8 :

Solve for v :

-10|v + 2|  =  -70

Solution :

-10|v + 2|  =  -70

Divide each side by -10.

|v + 2|  =  7

 v + 2  =  7Subtract 2 from each side. v  =  5 v + 2  =  -7Subtract 2 from each side.v  =  -9

Problem 9 :

Solve for v :

|-9 + v|/8  =  3

Solution :

|-9 + v|/8  =  3

Multiply each side by 8.

|-9 + v|  =  24

 -9 + v  =  24Add 9 to each side. v  =  33 -9 + v  =  -24Add 9 to each side.  v  =  -15

Problem 10 :

Solve for x :

8|x + 7| + 4  =  -6|x + 7| + 32

Solution :

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

 x + 7  =  2Subtract 7 from each side.x  =  -5 x + 7  =  2Subtract 7 from each side.x  =  -9 Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

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