Linear Expressions

GCF

100

Find the GCF of 25x, and 15xy

5x

200

Find the GCF of 12 and 28c

4

300

Find the GCF of 14mn and 42mn

14mn

400

Find the GCF of 3x and 30xy

3x

500

Find the GCF of the linear expression: 6x + 12xy + 9xyz

3x

Factoring

100

Factor 3x + 6

3(x + 2)

200

Factor 2x - 15

Not Factorable

300

Factor 12x + 30y

6(2x + 5y)

400

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

500

Factor 32x + 24y

8(4x + 3y)

Simplest Form

100

Combine: 21y + y - 8y

14y

200

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

2x + 16

300

Combine: n + 4n - 7n - 1

-2n - 1

400

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

27x + 54

500

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

-32k + 16

Adding Linear Expressions

100

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

9 + 5c

200

(3x + 20) + (-2x - 14)

x-6

300

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

18x - 9

400

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

6x + 11

500

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

16x + 2

Subtracting Linear Expressions

100

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

2x - 10

200

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

3x - 7

300

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

3x - 1

400

12x - (6 + 5x)

7x - 6

500

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