Free Printable Simplifying and Factoring

1.

Factor
2x + 8

a)

2(x + 8)

b)

2(x + 4)

2.

Factor
10 + 15x

a)

5(2 + 3x)

b)

2(5 + 10x)

3.

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

a)

True

b)

False

4.

True or False
2x + 6 = 2(x + 3)

a)

True

b)

False

5.

Factor
16x + 24x²

a)

4x(2x + 6)

b)

8x(2 + 3x)

6.

Expand each expression: 5(x + 2)

a)

5x + 10

b)

x + 10

c)

5x + 2

d)

none of those

7.

Write in standard form: 3h - 2(1 +4h)

a)

-5h + 2

b)

11h - 2

c)

12h - 2

d)

-5h - 2

8.

Factor completley: 12x + 8y - 4z

a)

4( x + y + z)

b)

4 ( 3x - 2y + z)

c)

2 ( 6x + 4y -2z)

d)

4 ( 3x + 2y - z)

9.

Expand and Simplify 2(x+2)+5(x+3)

a)

6x+13

b)

5x+17

c)

7x+19

d)

8x+13

10.

Factor.
2xy - 14y + 10xyz

a)

Nothing can be factored

b)

2(xy -7y + 5xyz)

c)

2y(x - 7 + 5xz)

d)

2xyz(1 - 7 + 5)

11.

Factor: 6a²b³ + 9a³b² + 3a²b²

a)

2ab(3a+2b+1)

b)

3a²b²(2b+3a+1)

c)

3a²b²(2b+3a+2)

d)

2b+3a+1

12.

Factor: 6a²b + 4ab² + 2ab

a)

8xy² − 4xy

b)

3a²b(3b-2a-1)

c)

2ab(3a + 2b + 1)

d)

8m²n + 12mn²

13.

Factor: 12a³b³+6a²b³+9a³b²

a)

4ab+2b+3a

b)

2ab(4ba+3b²+1)

c)

3a²b²(4ab+2b+3a)

d)

4a²b(3ab³-1)

14.

14a³b⁴+6a³b²+8a³b³

a)

2ab+3b-1

b)

5a²b(3b-4ab+1)

c)

4a⁵(2ab+3b-1)

d)

2a³b²(7b²+3+4b)

15.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

16.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

17.

Which of the following binomials is not a difference of squares?

a)

x² - 64

b)

x² - 16

c)

x²+ 400

d)

x² - 100

18.

32n² - 50
(Check for a GCF)

a)

(16n - 25)(16n + 25)

b)

2(8n - 25)(8n + 25)

c)

2(4n + 5)(4n - 5)

d)

Not Factorable

19.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

20.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

21.

The following are examples of quadratic trinomials EXCEPT:

a)

x^2+2y+1

b)

$3a-2a+4$

c)

$2y^2+x-4$

d)

$z^2-5z+6$

22.

To factor

x^2-10x-24

, which of the following factors of

-24

must be chosen in the process?

a)

$-2,\ 12$

b)

$-6,\ -4$

c)

$2,\ -12$

d)

$-6,\ 4$

Simplifying and Factoring

Total questions: 22

Worksheet time: 2hrs 49mins

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