Distributive Property & Factoring

Distributive Property

100

Rewrite using the Distributive Property:

4(6x + 2) 

24x + 8

200

What is the opposite or inverse of the Distributive Property?

Factoring

300

Rewrite using the Distributive Property:

-3(5g + 4)

-15g - 12

400

Rewrite using the Distributive Property.  Then simplify the expression:

6(8x + 7y) - 2(x + 5y - 2x)

50x + 32y

500

Rewrite using the Distributive Property.  Then simplify the expression:

x(8x + 7y) - 3x(4x + y + 4)

-4x² + 4xy - 12x

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 - 3x - 2y + 5x - 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. 

simplify

Factoring

100

Factor the following: 45 - 36

9(5 - 4)

200

Factor the following:

9x + 12

3(3x + 4)

300

Factor the following:

36x - 42y

6(6x - 7y)

400

Factor the following:

32y² + 48y - 8xy

8y(4y + 6 - x)

500

Factor the following:

16m² - 4mr + 7r

4m(4m-r) + 7r

or

r(-4m + 7) + 16m²

GCF

100

What is the GCF of 40 and 64?

8

200

What is the GCF of 24x  and 20x?

4x

300

What is the GCF of 30x² and 20x?

10x

400

What is the GCF of 100k² and 27h?

1

500

What is the GCF of 52ab²de³ and 13abcde² ?

13abde²