SOLVE TWO STEP EQUATIONS WORKSHEET

Problem 1 :

Solve for p : 

3p + 4  =  25

Problem 2 :

Solve for m : 

7m - 5  =  30

Problem 3 :

Solve for a : 

2a - 12  =  14

Problem 4 :

Solve for x : 

5x + 3  =  18

Problem 5 :

Solve for m :

-3(m - 2)  =  18

Problem 6 :

Solve for x : 

(x + 1)/7  =  2

Problem 7 :

Solve for x : 

5x + 3  =  17 - 2x

Problem 8 :

Solve for y : 

y/3 + 1  =  2

Problem 9 :

Solve for m : 

2m/5  =  6

Problem 10 :

Solve for k : 

3k/2 - 2  =  4

Detailed Answer Key

Problem 1 :

Solve for p : 

3p + 4  =  25

Solution :

3p + 4  =  25

Subtract 4 from each side.

3p  =  21

Divide each side by 3.

p  =  7

Problem 2 :

Solve for m : 

7m - 5  =  30

Solution :

7m - 5  =  30

Add 5 to each side. 

7m  =  35

Divide each side by 7. 

m  =  5

Problem 3 :

Solve for a : 

2a - 12  =  14

Solution :

2a - 12  =  14

Add 12 to each side. 

2a  =  26

Divide each side by 2. 

a  =  13

Problem 4 :

Solve for x : 

5x + 3  =  18

Solution :

5x + 3  =  18

Subtract 3 from each side.

5x  =  15

Divide each side by 5.

x  =  3

Problem 5 :

Solve for m :

-3(m - 2)  =  18

Solution :

-3(m - 2)  =  18

Divide each side by (-3). 

m - 2  =  -6

Add 2 to each side.

m  =  -4

Problem 6 :

Solve for x : 

(x + 1)/7  =  2

Solution :

(x + 1)/7  =  2

Multiply each side by 7.

x + 1  =  14

Subtract 1 from each side. 

x  =  13

Problem 7 :

Solve for x : 

5x + 3  =  17 - 2x

Solution :

3x + 3  =  2x + 17

Subtract 2x from each side.

x + 3  =  17

Subtract 3 from each side.

x  =  14

Problem 8 :

Solve for y : 

y/3 + 1  =  2

Solution :

y/3 + 1  =  2

Subtract 1 from each side.

y/3  =  6

Multiply each side by 3.

y  =  18

Problem 9 :

Solve for m : 

2m/5  =  6

Solution :

3m/5  =  6

Multiply each side by 5.

3m  =  30

Divide each side by 3.

m  =  10

Problem 10 :

Solve for k : 

3k/2 - 2  =  4

Solution :

3k/2 - 2  =  4

Add 2 to each side.

3k/2  =  6

Multiply each side by 2/3.

k  =  4

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