GCF
Factoring
Simplest Form
Subtracting Linear Expressions

### 100

Use the listing method to find the GCF of 25x, and 15xy
5x

Factor 3x + 6
3(x + 2)

### 100

Combine: 21y + y - 8y
14y

### 100

(6 + 2c) + (3 + 3c)=
9 + 5c

### 100

(4x - 3) - (2x + 7)
2x - 10

### 200

Use the listing method to find the GCF of 12 and 28c
4

### 200

Factor 2x - 15
Cannot be factored because the GCF is 1

### 200

Combine 5x + 9 - 3x + 11 - 4
2x + 16

### 200

2(x + 14) + (2x - 14)
4x + 14

### 200

(5x - 4) - (2x + 3)
3x - 7

### 300

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

Factor 12x + 30y
6(2x + 5y)

### 300

Combine: n + 4n - 7n - 1
-2n - 1

### 300

(11x - 8) + 7(x - 1)
18x - 15

### 300

(2x + 4) - (-x + 5)
3x - 1

### 400

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

### 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

### 400

Use the distributive property: 9(3x + 6)
27x + 54

### 400

(7x + 7) + (5x -2) + (-6x + 6)
6x + 11

12x - (6 + 5x)
7x - 6

### 500

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

Factor 32x + 24y
8(4x + 3y)

### 500

Use the distribuitve property to simplify: -8(4k-2)
-32k + 16

### 500

A rectangle has a width of 2x + 10 and a length of 6x -9 find the perimeter.
16x + 2

### 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