Distributive Property & Factoring

Distributive Property

100

Rewrite using the Distributive Property:

3(x + 5) 

3x + 15

200

What is the opposite or inverse of the Distributive Property?

Factoring

300

Rewrite using the Distributive Property:

4(6x + 2) 

24x + 8

400

Rewrite using the Distributive Property:

6(8x + 7y) 

48x + 42y

500

Rewrite using the Distributive Property:

5(3x + 7y - 6k)

15x + 35y - 30k

Combining Like Terms

100

Simplify:

5x + 7x 

12x

200

Simplify:

19x - 4x 

15x

300

Simplify:

12x + 5y - 2x + 8y

10X + 13y

400

Simplify:

7x + 20y - 4x + 13

3x + 20y + 13

500

Simplify:

18y + 18 + 5x - 2y - 3x - 2

16y + 2x + 16 

Vocabulary

100

In an expression, the parts being added or subtracted. Example: 3x² + 4x + 7 has three of these.

What are TERMS?

200

Terms that contain the same variables raised to the same exponent. They can be combined. Examples: 3x² and 7x² and 8ab and 9ab.

What are LIKE TERMS?

300

A mathematical phrase that contains numbers, variables and operations but NO equal sign. Examples: 6x + 7y and 9x² - 7xy.

What is an EXPRESSION?

400

The number being multiplied by a variable in a term. 

What is a COEFFICIENT?

500

To perform all indicated operations and combine like terms to get a less complicated expression. 

What is SIMPLIFY?

Factoring

100

Factor the following: 28 + 32

4(7 + 8)

200

Factor the following: 45 - 36

9(5 - 4)

300

Factor the following:

(9x + 12)

3(3x + 4)

400

Factor the following:

(36x - 42y)

6(6x - 7y)

500

Factor the following:

(32y + 48) 

16(2y + 3)

GCF

100

What is the GCF of 10 and 25?

5

200

What is the GCF of 18 and 24?

6

300

What is the GCF of 40 and 64?

8

400

What is the GCF of 24x  and 20?

4

500

What is the GCF of 30x and 20x?

10x