Intro to Rational Expressions Mixed Practice

What is needed when adding or subtracting rational expressions (or any fraction)?

• perfect square numbers

• common numerators

• common denominators

• same signs

What is the simplified result of: $\frac{2}{x-1}+\frac{x+4}{x-1}$  

•  $\frac{2x+8}{x-1}$  

•  $\frac{x+6}{x-1}$  

•  $\frac{2+x+4}{x-1}$  

•  $\frac{x+6}{2x-2}$  

Simplify.

• 2p

• $\frac{p}{2}$

• $\frac{2}{p}$

• 4p

Simplify

• $\frac{(x-9)}{(x+9)}$

• $\frac{1}{x-9}$

• (x+9)

• $\frac{1}{x+9}$

Simplify.

• 
  

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

• (x+6)(x+4)

• (x+6)

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

Simplify the expression

• 
  

  $\frac{n}{2m}$

• $\frac{n}{3m}$

• $\frac{m^2+4n^2}{12m}$

• $\frac{n}{4m}$

Multiply & Simplify.

• $\frac{3x}{10}$

• $\frac{35}{4x^3}$

• $\frac{5}{4}$

• 7

Divide & Simplify.

• $\frac{1}{6}$

• $\frac{\left(x+10\right)}{\left(6x+60\right)}$

• $\frac{\left(x+8\right)}{\left(6x+60\right)}$

• $\frac{\left(x+10\right)\left(x+8\right)}{\left(6x+60\right)}$

Add

 $\frac{2x-3}{4x-7}+\frac{2x-3}{4x-7}$  

•  $\frac{4x-6}{4x-7}$ 

•  $\frac{4x^2-6x+9}{4x-7}$  

•  $\frac{4x-6}{4x-7\ }$ 

•  $\frac{4x-6}{8x-14}$  

Subtract

 $\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}$  

•  $\frac{-2x-10}{3x+4}$  

•  $\frac{-2x}{3x+4}$  

•  $-2x\$  

•  $-2x-10$