Free Printable Rational Functions Test

1.

Factor and cancel out in order to simplify.

a)

$\frac{1}{n-7}$

b)

$n-7$

c)

$\frac{n-6}{n-7}$

d)

$n-6$

2.

Simplify the rational function

a)

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

b)

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

c)

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

d)

$\frac{x-5}{(x-5)(x+5)}$

3.

What is the LCD? $\frac{7}{\left(x+1\right)}+\frac{2x}{\left(x-1\right)}$

a)

(x-1)

b)

(x-2)(x+2)

c)

(x+1)(x-1)

d)

(x+1)

4.

What is the LCD? $\frac{x-3}{x^2-2x-3}-\frac{5}{x^2-9}$

a)

$\left(x-3\right)\left(x+1\right)_{ }$

b)

$\left(x-3\right)\left(x+3\right)$

c)

$\left(x-3\right)\left(x+1\right)\left(x+3\right)$

d)

$\left(x+1\right)\left(x+3\right)$

5.

Simplify $\frac{3}{x+6}$ + $\frac{7}{x-2}$

a)

$\frac{10x+36}{\left(x+6\right)\left(x-2\right)}$

b)

$\frac{4x+48}{\left(x+6\right)\left(x-2\right)}$

c)

$\frac{10x+48}{\left(x+6\right)\left(x-2\right)}$

d)

$\frac{5x-2}{\left(x+6\right)\left(x-2\right)}$

6.

Simplify.

a)

A

b)

B

c)

C

d)

D

7.

Simplify.

a)

A

b)

B

c)

C

d)

D

8.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

9.

Solve the equation for x.

a)

7

b)

0

c)

14

d)

6

10.

Solve and check for extraneous solutions

a)

m=-1 and -4

b)

m=-4

c)

No Solution

d)

m=1

Rational Functions Test

Total questions: 10

Worksheet time: 3hrs 30mins

Similar Resources on Wayground