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Worksheets

Factoring Algebraic Expressions

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

Factor
10 + 15x

a)

5(2 + 3x)

b)

2(5 + 10x)

2.

True or False
12x - 8 = 6(2x - 1)

a)

True

b)

False

3.

24x - 144

a)

12(2x + 12)

b)

-12(2x + 12)

c)

-12(2x - 12)

d)

12(2x - 12)

4.

Factor out the coefficient of the variable

-9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

5.

27r - 15

a)

prime

b)

5(5r - 3)

c)

3(9r - 5)

d)

3(9r + 5)

6.

Factor Completely:

24 + 16q

a)

4(7 + 4q)

b)

8(3 + 2q)

c)

4(6q + 2)

d)

24(24 - 16q)

7.

Factor the expression using the greatest common factor.

12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

c)

2(6x - 10)

d)

4(3x - 20)

8.

Factor
16x + 24x2

a)

4x(2x + 6)

b)

8x(2 + 3x)

9.

What is the factored form of 4x²+8x+10

a)

2x(2x²+4x+5)

b)

2x(x²+4x+10)

c)

2(2x²+4x+10)

d)

2(2x²+4x+5)

10.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

11.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

12.

Factor:

x5 + x4 + x2

a)

x3 (x2 + x + 1)

b)

x (x4 + x3 + x)

c)

x2 (x3 + x2)

d)

x2 (x3 + x2 + 1)

13.

Factor:

15x4 + 20x3 - 25x

a)

5x2 (3x2 + 4x - 5)

b)

5x (3x3 + 4x2 - x)

c)

5x (3x3 + 4x2 - 5)

d)

5 (3x4 + 4x3 - 5x)

14.

Factor:

x2 + 9x + 20

a)

(x + 1) (x + 20)

b)

(x + 2) (x + 10)

c)

(x + 4) (x + 5)

d)

(x + 10) (x + 10)

15.

Factor:

x² - 14x + 24

a)

(x + 24) (x + 1)

b)

(x + 6) (x + 4)

c)

(x - 8) (x - 3)

d)

(x - 12) (x - 2)

16.

Factor:
x2 - 30x + 225

a)

(x + 15)2

b)

(x - 15)2

c)

(x + 25)2

d)

(x - 25)2

17.

Factor:

4x2 + 36x + 81

a)

( 4x + 81 )2

b)

( 2x + 9 )2

c)

Prime /
Not factorable. 

d)

( 2x - 9 )2

18.

Factor:

16x2 - 81y2

a)

(4x - 9y)2

b)

(9x - 4y)(9x + 4y)

c)

(4x - 9y)(4x + 9y)

d)

(2x - 3y)(2x + 9y)

19.

The area of a rectangular driveway is 2x2 + 15x + 25. What are the possible dimensions of the driveway?

a)

(x + 1) (2x + 5)

b)

(x + 5) (2x + 5)

c)

(x + 10) (2x + 5)

d)

(2x + 10) (2x + 5)

20.

Simplify the expression.

14 - 3z + 8 + z

a)

22 - 2z

b)

2z + 22

c)

4z + 22

d)

-4z + 22