Solving Equations with Distributing and Combining Like Terms

Word Problems

100

Sean and Katie are buying 6 cupcakes. They paid 12 dollars for the 6 cupcakes. How much does one cupcake cost?

1 cupcake costs 2 dollars

200

Miguel and Leo have to solve 40 problems. How many problems should each of them do?

They each should do 20 problems.

300

Kassidy was sharing a bag of chips with her 2 friends. They counted 50 chips were in the bag altogether. Kassidy decided to keep 28 chips for herself. How many chips will each of her friends get?

They each will get 11 chips

400

Pristine Printing will print invitations for your birthday party for $0.10 each plus a setup charge of $15. How many invitations can you order for $23?

80 invitations

500

You go to the store and buy 3 bags of skittles, one gatorade for $3, and a bag of takis for $6. Your total was $13.77. How much does one bag of skittles cost?

1 bag costs $1.59

One-Step Equations

100

Solve for x

x + 5 = 11

x=6

200

Solve for e

3e = 15

e = 5

300

Solve for j

j/5=100

j=500

400

Solve for c

-c = 49.5

c = -49.5

500

-4/5 x = 20

x = -25

Two-Step Equations

100

Solve for the variable:

2x + 1 = 7

x = 3

200

Solve for the variable:

x/7 - 2 = 4

x = 42

300

Solve for the variable:

8a - 3 = 61

a = 8

400

Solve for the variable:

-9m + 2 = 83

m = -9

500

Solve for the variable:

g/10 + 5 = -1

g = -60

Combining Like Terms

100

Combine like terms:  

2a + 3a + 5a

10a

200

Combine like terms:  

7b+ 11 + 2b

9b + 11

300

Combine like terms:  

5a + 9a - 3a + 2a

13a

400

Solve for the variable:

7m + 3m = 70

m = 7

500

Solve for the variable:

3a - a + 4a = 30

a = 5

Distributive Property

100

Simplify:

3(a + 2) 

3a + 6

200

Simplify:

7(5k - 8)

35k - 56

300

Simplify:

-9(3a - 5)

-27a + 45

400

Solve for the variable:

4(2a + 1) = 20

a = 2

500

Solve for the variable:

5(3y - 2) = 50

y = 4