11/2 Do Now

Reduce the rational expression to lowest terms:
 $\frac{x^2+4x+4}{x^2-4}$  

•  $\frac{1}{x-2}$  

•  $\frac{x+2}{x-2}$  

• -1

•  $\frac{x-2}{x+2}$  

Perform the indicated operation and simplify the result. Leave your answer in factored form. $\frac{x^2-3x-10}{x^2+2x-35}\cdot\frac{x^2+4x-21}{x^2+9x+14}$  

•  $\frac{\left(x-5\right)\left(x-3\right)}{\left(x+5\right)\left(x-7\right)}$  

•  $\frac{-\left(x-3\right)}{x-7}$  

•  $\frac{\left(x-5\right)\left(x+3\right)}{\left(x+5\right)\left(x+7\right)}$  

•  $\frac{x-3}{x+7}$  

Simplify

• A.4x³/(x+2)
• B.4x³/(x+10)
• C.2x³/(5x+1)
• D. 2x³/(x+5)

Tags

CCSS.HSA.APR.D.6

Divide and Simplify

• A
• B
• C
• D

Tags

CCSS.HSA.APR.D.6

Perform the indicated operations and reduce to simplest form. $\frac{3}{x+2}+\ \frac{12}{x^2-4}$  

•  $\frac{12}{x-4}$  
  

•   $\frac{3}{x+2}$  

•  $\frac{3}{x-2}$   

•   $\frac{12}{x+4}$  

• none of the choices

 Combine into a single fraction and simplify.$\frac{x+1}{x-1}-\frac{2}{x-1}$  

• x + 1

• x - 1

• 1

• 2

• none of the choices

Simplify: 

 $\frac{3x}{10x^2}+\frac{7}{5x^2}$  

•  $\frac{2}{3x^3}$  

•  $\frac{3x+7}{10x^2}$  

•  $\frac{1}{x^2}$  

•  $\frac{3x+14}{10x^2}$  

Tags

CCSS.HSA.APR.D.7

Simplify:

 $\frac{5}{x}-\frac{3x}{6x^2}$  

•  $\frac{-33x^2}{x\left(6x^2\right)}$  

•  $\frac{30-3x}{6x}$  

•  $\frac{30x-3x}{6x-6x^2}$  

•  $\frac{27x}{6x^2}$  

Tags

CCSS.HSA.APR.D.7

Simplify:

 $\frac{3}{x-1}+\frac{5}{6x}$  

•  $\frac{23x-5}{6x\left(x-1\right)}$  

•  $\frac{13x-5}{6x\left(x-1\right)}$  

•  $\frac{13x-5}{6x^2}$  

•  $17x-6$  

Tags

CCSS.HSA.APR.D.7

Simplify:

 $\frac{3}{x+4}+\frac{2}{x-2}$  

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

•  $\frac{3x-6}{\left(x-2\right)\left(x+4\right)}$  

•  $\frac{5x-10}{\left(x-2\right)\left(x+4\right)}$  

•  $\frac{6x+24}{\left(x-2\right)\left(x+4\right)}$  

Tags

CCSS.HSA.APR.D.7