GCF

Factoring

Simplest Form

Adding Linear Expressions

Subtracting Linear Expressions

Use the listing method to find the GCF of 25x, and 15xy

5x

Factor 3x + 6

3(x + 2)

Combine: 21y + y - 8y

14y

(6 + 2c) + (3 + 3c)=

9 + 5c

(4x - 3) - (2x + 7)

2x - 10

Use the listing method to find the GCF of 12 and 28c

4

Factor 2x - 15

Cannot be factored because the GCF is 1

Combine 5x + 9 - 3x + 11 - 4

2x + 16

2(x + 14) + (2x - 14)

4x + 14

(5x - 4) - (2x + 3)

3x - 7

Use the listing method to find the GCF of 14mn and 42mn

14mn

Factor 12x + 30y

6(2x + 5y)

Combine: n + 4n - 7n - 1

-2n - 1

(11x - 8) + 7(x - 1)

18x - 15

(2x + 4) - (-x + 5)

3x - 1

Use the listing method to find the GCF of 3x and 30xy

3x

A square scrapbooking page has a perimeter of (8x + 20) inches. What is the length of one side of the scrapbooking page?

(2x + 5) inches

Use the distributive property: 9(3x + 6)

27x + 54

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

6x + 11

12x - (6 + 5x)

7x - 6

Use the listing method to find the GCF of the linear expression: 6x + 12xy + 9xyz

Factor 32x + 24y

8(4x + 3y)

Use the distribuitve property to simplify: -8(4k-2)

-32k + 16

A rectangle has a width of 2x + 10 and a length of 6x -9 find the perimeter.

16x + 2

A company has 2 manufactoring plants with daily production levels of 5x + 11 items and 2x - 3 items. The 1st plant produces how many more items on a daily basis than the second plant?

3x + 14

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