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

Combine Like Terms

100

6x + 4 - 2x 

4x + 4

200

8a + 15a + a + 9

24a + 9

300

-10 - 4a + 5 + 3a

-5 - a

400

21b - 11b - 10 - 12b

-2b - 10

500

m + 20n - 25m + 6n

-24m + 26n

Distribute & Combine Like Terms

100

3(4x + 6) - 10

12x + 8

200

12c + 6(c - 5)

18c - 30

300

5(z - 11) - 26

5z - 81

400

-7d - 8(-5 + d)

-15d + 40

500

-14j + 9(2k - 6j) - 18k

-68j

Properties

100

What property:                                     456 • 56 = 56 • 456

Commutative Property of Multiplication

200

What property:                                 (43 + 7) + 6 = 43 + (7 + 6)

Associative Property of Addition

300

What property:                                            g • 1 = g        

Identity Property of Multiplication

400

What property:                           3(4 + 6) = 3(4) + 3(6)

Distributive Property

500

What property:                                            r + -r = 0

Inverse Property of Addition

Parts of an Expression

100

What are the variables:                           2m + 5 + 7b

m, b

200

What are the terms:                                  7x - 4y - 9

7x, -4y, -9

300

What is the constant:                                        9w - 17 + 4d

-17

400

What are the coefficients:                             2m + j - 8

2, 1

500

What are the coefficients:                          8 - 17y - k

-17, -1