Combining Like Terms

Distributive Property - Expanded Form

100

Simplify: 3(4 + 2)

12 + 6 = 18

200

Simplify: 5(3m - 6)

15m - 30

300

Simplify: -8(2 - 5x)

-16 + 40x

400

Simplify: -5(-6g - 9)

30g + 45

500

Simplify: -5(-4 + 3r) -4r

20 - 15r - 4r = 20 - 19r

Combining (Addition)

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 35 + 3x + 2

What is 8x + 37

300

32 + 12t + 16t + 8

What is 28t + 40

400

6p + 32 + 16p + 2 + 4p

What is 26p + 34

500

m + 20n + 25m + 6n

What is 26m + 26n

Combining (Subtraction)

100

21b - 11b - 10 - 12b

What is -2b - 10

200

12c - 6c - (-30)

What is 6c + 30

300

5z - 55 - 26 - z

What is 4z - 81

400

-7d - (-40) + 8d

What is d + 40

500

-15j - 18k - 24j - 18k

What is -39j - 36k

Combining Like Terms(Add & Subtract Mix)

100

-7w - 5 + 17w + 15

What is 10w + 10

200

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

What is 0

300

-2f - 1f - (-6) + 5f

What is 2f + 6

400

-5r + 3q - 8q - r

What is -6r -5q

500

53t - (-20r) + 17 - 10t

What is 43t + 20r +17

GCF - Distributive Property

100

Factor: 45f + 15

15(3f + 1)

200

Factor: 36y - 21

3(12y - 7)

300

Factor: 60e + 44

4(15e + 11)

400

Factor: -75k + 40

5(-15k + 8)

500

Factor: -63n - 90

-9(7n + 10)