Free Printable Unit 4 Review

1.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

2.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

3.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

4.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

5.

What is the GCF of the following expression?
$3x^3+6x^2-6x$

a)

$3x$

b)

$6x$

c)

$2x^2$

6.

Factor Completely
5x³-7x²

a)

x²(5x-7)

b)

x(5x²-7x)

c)

x³(5-7x)

d)

Prime

7.

Factor 4y² – 9.

a)

(2y + 3) (2y – 3)

b)

(4y + 3) (4y - 3)

c)

(2y + 3) (2y + 3)

d)

(2y – 3) (2y – 3)

8.

Factor 25x²- 81.

a)

(5x² - 9²)²

b)

(5x + 9) (5x + 9)

c)

(5x + 9) (5x - 9)

d)

(5x - 9) (5x - 9)

9.

$\ \frac{2x\left(x-2\right)}{\left(x-2\right)\left(x+5\right)}$ What will be the simplified form?

a)

$\frac{2}{5}$

b)

$\frac{2x}{x+5}$

c)

$\frac{2x}{5}$

d)

Can't be simplified

10.

$Simplify:\ \ \ \frac{\left(x-9\right)\left(x+5\right)}{\left(x-9\right)\left(x+9\right)}$

a)

$\frac{x+5}{x-9}$

b)

$\frac{x+5}{x+9}$

c)

$\frac{x-5}{x-9}$

d)

$\frac{x-5}{x+9}$

11.

$Simplify:\ \ \frac{\left(x-5\right)\left(x+5\right)}{\left(x-1\right)\left(x-5\right)}$

a)

$\frac{x+5}{x-1}$

b)

$\frac{x-5}{x-1}$

c)

$\frac{x+5}{x+1}$

d)

$\frac{x-5}{x+1}$

12.

$Simplify:\ \ \frac{\left(x+5\right)\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}$

a)

$\frac{x-5}{x+2}$

b)

$\frac{x-5}{x-2}$

c)

$\frac{x+5}{x+2}$

d)

$\frac{x+5}{x-2}$

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

Find the sum:

\frac{1}{x}+\frac{9}{x}=

a)

$\frac{10}{x}$

b)

$\frac{10}{2x}$

c)

$\frac{5}{x}$

d)

$\frac{10}{x^2}$

17.

Find the difference:

\frac{2x}{x^3-2}-\frac{1}{x^3-2}

a)

$\frac{2x-1}{x^3-2}$

b)

$\frac{2x+1}{x^3-2}$

c)

$\frac{2x-1}{2x^3-4}$

d)

$\frac{2x+1}{2x^3-4}$

18.

Simplify $\frac{-5x}{x-9}-\frac{-8}{x-9}$

a)

$\frac{-5x+8}{x-9}$

b)

$\frac{-5x-8}{x-9}$

c)

$\frac{x-9}{-5x}$

d)

$\frac{x+8}{x}$

19.

simplify 15/20

a)

5/10

b)

3/4

c)

2/3

d)

1/5

20.

Simplify 18/24 to lowest terms.

a)

4/3

b)

9/12

c)

3/4

d)

1/2

Unit 4 Review - L Koslowsky

Total questions: 20

Worksheet time: 52mins

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