Distributing and Combining Like Terms

Distributing

100

−6(a + 8)

−6a − 48

200

6(−5n + 7)

−30n + 42

300

8(−b − 4)

−8b − 32

400

−9(−8x − 12)

72x + 108

500

-(5n - 7)

-5n + 7

Combining Like Terms

100

−8x − 11x

−19x

200

−5 + 9n + 6

9n + 1

300

n + 4 − 9 − 5n

−4n − 5

400

-1 + −3x − 9 + 15x + 1

12x − 9

500

-12r + 5 - 3r − 5

-15r

Combining with Distribution

100

−4 + 7(1 − 3m)

− 21m + 3

200

−5n + 3(6 + 7n)

16n + 18

300

−9(6m − 3) + 6(1 + 4m)

−30m + 33

400

5(−2n + 4) + 2(n + 3)

−8n + 26

500

−7(n + 3) − 8(1 + 8n)

−71n − 29

Adding Linear Expressions

100

(−12 + n) + (7 - 3n)

−5 - 2n 

200

(x−10) + (x−7)

2x − 17

300

(-3x − 1) + (-5x − 10)

-8x − 11

400

(8x - 9) + (-10x − 6)

−2x - 15

500

(2x + 3y + 4) + (5x + 6y + 7) + (-7x − 9y − 11)

0

Subtracting Linear Expressions

100

(6x + 9) - (3x + 6)

3x + 3

200

(8n - 6) - (8n + 6)

-12

300

(12k - 12) - (-13k - 12)

25k

400

(x − 3) - (7x - 13)

−6x + 10

500

−4(-3m − 7) - 6(3 + 4m)

−12m + 10