Factoring Algebraic Expressions

Factoring Out GCF

100

12x - 9

3(4x - 3)

200

24x - 18

6(4x - 3)

300

36x + 27

9(4x + 3)

400

48y + 24

24(2y + 1)

500

16n - 24

8(2n - 3)

Factoring Out Rational Numbers

100

1/2n - 1/2

1/2(n - 1)

200

1/4x + 6/4 

1/4(x + 6)

300

3/4p - 3/2 

3/4(p - 2)

400

5 + 2.5q

2.5(q + 2)

500

1/2x + 28

1/2(x + 56)

Factoring out Negative Numbers

100

Factor 2 out of -2p - 4.

2(1p + 2)

200

Factor -5 out of -5d + 30.

-5(1d - 6)

300

Factor -4 out of -8k - 12.

-4(2k + 3)

400

Factor -8 out of -32d + -56.

-8(4d + 7)

500

Factor -12 out of -24k + 120.

-12(2k - 10)

Definitions

100

Negative Numbers

Numbers that are less than zero.

200

Positive and negative numbers that can be written as a fraction where the denominator is not zero.  

Rational numbers

300

GCF

The largest factor that two or more integers share.

400

A symbol that stands for an unknown value in an equation.

Variable

500

Factoring an expression

Writing an expression as a product of factors.