Distributive Property/Combining Like Terms

Distributive Property

100

5(x - 12)

 5x - 60

200

-7(m + 11)

 -7m - 77

300

12(-t - 4)

 -12t - 48

400

-13(3m - 7n)

 -39m + 91n

500

-14(-8y - 11z)

 112y + 154z

Combining (Addition)

100

8a + 15a + a + 9

 24a + 9

200

5(x + 7) + 3x

 8x + 35

300

12t + 8(2t + 4)

 28t + 32

400

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

 22p + 34

500

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

 26m + 26n

Combining (Subtraction)

100

21b - 11b - 10 - 12b

 -2b - 10

200

12c - 6(c - 5)

 6c + 30

300

5(z - 11) - 26

 5z - 81

400

-7d - 8(-5 - d)

 d + 40

500

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

 39j - 36k

Combining Like Terms

100

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

7w -19

200

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

 0

300

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

 -15f + 36

400

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

 -63r - 57q

500

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

 -59t + 100r +17

Terms, Coefficients, Constants

100

Name the variable(s) in 

   7x - 3m - 8x

 x and m

200

Name the like constants in 

     8x + 9x + 3y - 5y

none

300

Name the coeeficient(s) in 

       -10 - 4a + 5b + 3a

 -10, -4a,5b, 3a

400

Name the like terms in 

   7x - 3y - 16x + 4y - 2xy

 7x and -16x, -3y and 4y

500

Name the constants and the coeeficients in 

x - 18x + 81 - 17

Constants: 81 and -17

Coefficients: 1 and -18