Rational Functions Test

Factor and cancel out in order to simplify.

• $\frac{1}{n-7}$

• $n-7$

• $\frac{n-6}{n-7}$

• $n-6$

Tags

CCSS.HSA.APR.D.6

Simplify the rational function

• $\frac{1}{x+5}$

• $\frac{1}{x-5}$

• $\frac{x-5}{x+5}$

• $\frac{x-5}{(x-5)(x+5)}$

Tags

CCSS.HSA.APR.D.6

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

• (x-1)

• (x-2)(x+2)

• (x+1)(x-1)

• (x+1)

Tags

CCSS.HSA.APR.D.7

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

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

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

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

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

Tags

CCSS.HSA.APR.D.7

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

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

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

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

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

Tags

CCSS.HSA.APR.D.7

Simplify.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.7

Simplify.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.6

Divide the Rational Expression

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.6

Solve the equation for x.

• 7

• 0

• 14

• 6

Tags

CCSS.HSA.REI.A.2

Solve and check for extraneous solutions

• m=-1 and -4

• m=-4

• No Solution

• m=1

Tags

CCSS.HSA.REI.A.2