Simplifying Rational Expressions

Multiply and Simplify

• (n-10)/8n+56
• (n-10)(n+7)/8n+56
• (n-10)/8
• (n+10)/8

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Multiply the Rational Expression

• A.

• B.

• C.

• D.

Tags

CCSS.HSA.APR.D.7

 $\frac{4x}{x-5}-\frac{3}{x-6}$  Simplify

•  $\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$  

•  $\frac{4x-3}{2x+1}$  

•  $\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$  

•  $\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$  Simplify

•  $\frac{m-5}{m-2}$  

•  $\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$  

•  $\frac{m^2+2m-32}{m^2+14m+49}$  

•  $\frac{-5}{2m^2}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Given the sum

 $\frac{3x}{x+2}+\frac{6x+1}{\left(x+2\right)\left(x-5\right)}$  


What is the LCD (lowest common denominator)?

•  $\left(x+2\right)\left(x+2\right)\left(x-5\right)$  

•  $\left(x+2\right)\left(x-5\right)$  

•  $x-5$  

•  $x+2$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{x^2+10x+25}{x^2-9}\cdot\frac{x^2+3x}{x+5}=$  

•  $\frac{x\left(x+5\right)}{x+3}$  

•  $\frac{x\left(x-5\right)}{x-3}$  

•  $\frac{x\left(x+5\right)}{x-3}$  

•  $\frac{x\left(x-5\right)}{x+3}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

 $\frac{x^2-y^2}{2x-2y}\div\frac{8}{x+y}=$  

•  $\frac{1}{16}$  

•  $\frac{\left(x+y\right)^2}{16}$  

•  $\frac{x+y}{8}$  

•  $\frac{\left(x+y\right)\left(x-y\right)}{16}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the expression $\frac{x^2-2x-24}{x^2-5x-36}$   

•  $\frac{x-6}{x+9}$  

•  $\frac{x+6}{x+9}$  

•  $\frac{x+6}{x-9}$  

•  $\frac{x-6}{x-9}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3