GCF
Factoring
Simplest Form
Subtracting Linear Expressions
100
Use the listing method to find the GCF of 25x, and 15xy
5x
100
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
300
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
400
12x - (6 + 5x)
7x - 6
500
Use the listing method to find the GCF of the linear expression: 6x + 12xy + 9xyz
500
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
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