Mixed Word Problems

Equations with Variables on Both Sides

Integer Operations

Combining Like Terms

Distributive Property

100

Shane sells golf balls. He sold 4 to Jack and 5 to Doug. He had 7 golf balls left. How many golf balls did Shane have at first?

16

100

Solve for the variable:

5x = 3x + 20

x = 10

100

Solve

-6+9

3

100

Combine like terms:

2a + 3a + 5a

10a

100

Simplify:

3(a + 2)

3a + 6

200

Bridget borrowed 14 books from the library. She returned 8 books and borrowed 4 more. How many books did Bridget have then?

10

200

Solve for the variable:

6m - 7 = 2m + 25

m = 8

200

Solve

(-10) + 15

5

200

Combine like terms:

7b+ 11 + 2b

9b + 11

200

Simplify:

7(5k - 8)

35k - 56

300

There were 86 seats in the gym. 32 people sat down to watch the game. 11 people were eating a snack. How many seats were empty?

54

300

Solve for the variable:

10k + 30 = -2k + 54

k = 2

300

Solve

14+(-9)+(-20)=

-15

300

Combine like terms:

5a + 9a - 3a + 2a

13a

300

Simplify:

-9(3a - 5)

-27a + 45

400

A group of 32 students went to the zoo. 20 students took the bus. 4 students rode in each car. How many cars were needed?

3

400

Solve for the variable:

-6a + 5 = 3a - 22

a = 3

400

What are the two types of integers?

Positive and negative

400

Solve for the variable:

7m + 3m = 70

m = 7

400

Solve for the variable:

4(2a + 1) = 20

a = 2

500

Mr. Clark gave 4 lollipops to each of his 8 students. Now he only has 19 lollipops left. How many lollipops did Mr. Clark have at first?

51

500

Solve for the variable:

-p + 31 = 5p + 1

p = 5

500

Solve for k

13k-4(3-9)=76

k=4

500

Solve for the variable:

3a - a + 4a = 30

a = 5

500

Solve for the variable:

5(3y - 2) = 50

y = 4