Simplifying Rational Expressions

Simplify

• $\frac{(x+9)}{(x-9)}$

• $\frac{1}{(x-9)}$
  

• $(x-9)$
  

• $\frac{1}{(x+9)}$
  

Tags

CCSS.HSA.APR.D.6

Simplify

 $\ \ \ \ \frac{(x^2-49)}{(x^2+9x+14)}$  

•  $\frac{(x-7)}{(x+2)}$  
  

•  $\frac{(x+7)}{(x+2)}$  
  

•  $\frac{(x-7)}{(x-2)}$  
  

•  $\frac{(x+7)}{(x+2)}$  
  

Tags

CCSS.HSA.APR.D.6

What is the excluded value: 

 $\frac{7}{(x-3)}$  

• 7

• There is not one.

• 3

• -3

Which value of x makes the expression undefined?

• -2
• 2
• -6
• -3

Tags

CCSS.HSA.APR.D.7

Simplify: $\frac{(5x^2+21x+4)}{(25x+100)}$  

•  $\frac{(x^2+21x+1)}{(5x+25)}$  
  

•  $\frac{5x+4}{5x+20}$  
  

•  $\frac{(5x+1)}{25}$  
  

•  $\frac{(5x+1)\left(x+4\right)}{5(5x+20)}$  

Tags

CCSS.HSA.APR.D.6

Simplify

• $\frac{(v+9)}{8}$

• $\frac{(v-1)}{8}$
  

• $\frac{1}{8}$
  

• $\frac{(v+9)}{\left(v-1\right)}$
  

Tags

CCSS.HSA.APR.D.7

Multiply and Simplify

• $\frac{4(x+3)}{(x+2)}$

• $\frac{(x+2)}{4(x+1)}$
  

• $\frac{(x+2)}{4(x+3)}$
  

• $\frac{4(x+1)}{(x+2)}$
  

Tags

CCSS.HSA.APR.D.7

What are the restrictions? Check all that apply.

•  $-3$ 

•  $4$ 
  

•  $0$ 
  

•  $-2$ 
  

•  $-1$  

Tags

CCSS.HSA.APR.D.7

Divide

 $\frac{x^2-2x-8}{x^2-2x-15}\div\frac{2x^2-8x}{2x^2-10x}$  

•  $\frac{2\left(x-2\right)}{2\left(x+3\right)}\ ,\ x\ne-5,\ -4,\ 3$  

•  $\frac{2\left(x+2\right)}{2\left(x+3\right)}\ ,\ x\ne-3,\ 4,\ 5$  

•  $\frac{x-2}{x+3}\ ,\ x\ne-3,\ 4,\ 5$  

•  $\frac{x+2}{x+3}\ ,\ x\ne-3,\ 4,\ 5$  

Tags

CCSS.HSA.APR.D.6

Simplify

 $\frac{x^3+x^2-20x}{x^2-16}$  

•  $\frac{x^3+x^2-20x}{\left(x+4\right)\left(x-4\right)},\ x\ne\pm4$  

•  $\frac{x\left(x^2+x-20\right)}{\left(x+4\right)\left(x-4\right)},\ x\ne\pm4$  

•  $\frac{x\left(x-5\right)}{\left(x-4\right)}\ ,\ x\ne\pm4$  

•  $\frac{x\left(x+5\right)}{x+4}\ ,\ x\ne\pm4$  

Tags

CCSS.HSA.APR.D.6