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Worksheets

Factoring Expressions Using Gcf

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Factor -4x out of:

-8x2 +24x

a)

4x(-2x + 6)

b)

2(-4x - 13)

c)

-2x(-4x +13)

d)

-4x(2x - 6)

2.

16x2y + 4xy

a)

4xy(6x)

b)

4xy(4x + 1)

c)

20x2y

d)

2y(2xy + 7y)

3.

6n3 - 9n2 +12n

a)

3n2 (2n - 3n + 4)

b)

3n (2n2 - 3n + 4)

c)

3 (2n2 - 3 + 4)

d)

3n (2n2 + 3n + 4)

4.

What is the GCF of: 16v8 + 8v7 + 12v5 + 4v2

a)

4v3

b)

4

c)

4v

d)

4v2

5.

8w3 + 16w2 + 4w

a)

4w (2w + 4 + 1)

b)

4 (2w2 + 4w + 1)

c)

4w (2w2 + 4w + 1)

d)

4w (2w + 4w + 1)

6.

24x - 36xy + 48y

a)

-12 (2x + 3xy + 4y)

b)

12 (2x - 3xy + 4y)

c)

12x (2 - 3y + 4y)

d)

12xy (2 - 3 + 4)

7.

Factor:  
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

8.

Factor out the coefficient of the variable term.

a)

x + 1/3

b)

x - 1/3

c)

x - 3

d)

x + 3

9.

9x + 12

a)

3(3x +4)

b)

9(x+3)

c)

-3(3x+4)

d)

21x

10.

5x - 25

a)

5x - 25

b)

5(x + 5)

c)

5( x - 5)

d)

20x

11.

Factor the following Expression Completly using the GCF: \left(15y\ +\ 5\right)

a)

y ( 15 + 5)

b)

3 ( 5y + 1)

c)

5 ( 3y + 1)

d)

1( 15y + 5)

12.

Factor the following Expression Completly using the GCF: \left(20y\ +\ 45y\right)

a)

y ( 20 + 45)

b)

5y ( 4 + 9)

c)

5y ( 4y + 9y)

d)

5( 4y + 9y)

13.

Factor the following Expression Completly using the GCF:

(33y + 88)\left(-33y\ +\ 88\right)

a)

y ( -33 + 88)

b)

-11y ( 3 + 8)

c)

11 ( 3y + 8)

d)

11( -3y + 8)

14.

Factor the following Expression Completly using the GCF:

a)

2 ( -1y + 2 - 4x)

b)

2 ( y + 4 - 8x)

c)

-2 ( y + 2 - 4x)

d)

1( -2y + 4 -8x)

15.

Factor the following Expression Completely using the GCF:

a)

2 ( k - 13)

b)

13 ( 2k - 1)

c)

The GCF is 1, so theres nothing to factor out!