#2 Solving Equations with Distributing and Combining Like Terms

Equations with Variables on Both Sides

100

Solve for the variable:

5x = 2x + 21

x = 7

200

Solve for the variable:

6m - 7 = 2m + 25

m = 8

300

Solve for the variable:

7k + 30 = -2k + 66

k = 4

400

Solve for the variable:

-6a + 5 = 3a - 22

a = 3

500

Solve for the variable:

 2p - 5= 6p - 1

p = -1

Two-Step Equations

100

Solve for the variable:

9x - 1 = 17

x = 2

200

Solve for the variable:

x/7 - 2 = 4

x = 42

300

Solve for the variable:

10a - 3 = 57

a = 6

400

Solve for the variable:

-9m + 2 = 83

m = -9

500

Solve for the variable:

g/-8 + 5 = -1

g = 48

Combining Like Terms

100

Combine like terms:  

2a + 3a + 4a

9a

200

Combine like terms:  

5b+ 14 + 2b

7b + 14

300

Combine like terms:  

6a + 9a - 5a + 2a

12a

400

Solve for the variable:

7m + 3m = 70

m = 7

500

Solve for the variable:

10a - a + 4a - 2a= -33

a = -3

Distributive Property

100

Simplify:

7(a + 5) 

7a + 35

200

Simplify:

10(5k - 8)

50k - 80

300

Simplify:

-5(3a - 4)

-15a + 20

400

Solve for the variable:

4(2a + 1) = 20

a = 2

500

Solve for the variable:

8(2y - 2) - 5y = 50

y = 6