Distributive Property/Combining Like Terms

Distributive Property

100

5(x - 12)

What is 5x - 60

200

7(m + 11)

What is 7m + 77

300

12(-t - 4)

What is -12t - 48

400

-13(3m - 7n)

What is -39m + 91n

500

-14(-8y - 11z)

What is 112y + 154z

Combining (Addition)

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 7x² + 3x + 4 +2x² - 3

What is 8x + 9x² + 1

300

12m - 6mn - 14m + 2mn + 3n

What is -2m - 4mn + 3n

400

6p + 8(4 + 2p) + 2

What is 22p + 34

500

m + 5(4n + 5m) + 6n

What is 26m + 26n

Combining (Subtraction)

100

21b - 11b - 10 - 12b

What is -2b - 10

200

12c - 6c² - 5c + 2c² + 5c²

What is 7c + 1c²

300

5(z - 11) - 26

What is 5z - 81

400

-7d - 8(-5 - d)

What is d + 40

500

-15j - 9(2k - 6j) - 18k

What is 39j - 36k

Combining Like Terms

100

-10(w + 5) + 17w + 31

What is 7w -19

200

19a - 6b - 17a - 3b + 9b - 2a

What is 0

300

-21f - 6(2f - 6) + 18f

What is -15f + 36

400

-11(4r + 7q) + 20q - 19r

What is -63r - 57q

500

53t - 5(13t - 20r) + 17 - 47t

What is -59t + 100r +17

Proportions Problems

100

A girl scout troop uses 15 flashlight batteries on a 3-night camping trip. How many batteries will they need for a 7-night camping trip?

What is 35 batteries?

200

A cookie recipe calls for 3 eggs and makes 4 dozen cookies. How many eggs would you need to make 18 dozen cookies?

What is 13.5 eggs

300

A bag of 9 apples costs $1.50 at Vons. At this same rate, how much would 18 apples cost?

What is $3

400

Mr. Holmes went to dinner and the bill was $68.50. If he wants to leave an 18% tip, how much should he leave?

What is $12.33

500

Pam has worked for the same employer for a long time. Her current salary is $73,500 which is 122.5% of her starting salary. What was her starting salary?

What is $60,000