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

5(x + 7) + 3x

What is 8x + 35

300

12t + 8(2t + 4)

What is 28t + 32

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 + 6(c + 5)

What is 6c + 30

300

5(z + 11) + 26

What is 5z + 81

400

7d + 8(5 + d)

What is 15d + 40

500

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

What is 69j + 36k

Combining Like Terms

100

10(w + 5) + 17w + 31

What is 87w + 81

200

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

What is 0

300

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

What is 51f + 36

400

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

What is 25r + 97q

500

5t + 5(13t + 20r) + 17 + 4t

What is 100 r+ 74t +17

Terms, Coefficients, Constants

100

7x - 3 + 8x

Terms: 3

Coefficients: 7 and 8

Constant: 3

200

8x + 3y - 5

Terms: 3

Coefficients: 8 and 3

Constant: 5

300

What is a coefficient? 

The number multiplying with the variable. 

400

What is a variable? 

Letter representing the unknown.

500

How do you know what terms you can combine? 

Terms must be like, they need to have the same variable or they are constants.