Multiply, Divide and Simplify Rational Expressions

Multiply the rational expressions

 $\frac{3}{5}\times\frac{16}{3}$  =

•  $\frac{6}{5}$  

•  $\frac{12}{5}$  

•  $\frac{4}{10}$  

•  $\frac{16}{5}$  

Tags

CCSS.HSA.APR.D.7

Divide the expression below:
 $\frac{2}{9}\div\frac{4}{13}=$  

•  $\frac{8}{117}$  

•  $\frac{13}{18}$  

•  $\frac{6}{4}$  

•  $\frac{3}{5}$  

Tags

CCSS.HSA.APR.D.7

Simplify.

 $\frac{6p^2}{12p}$  

• 2p

• p/2

• 2/p

• 4p

Simplify 

 $\frac{x-5}{x+5}$  

• 1

• -1

• Can't be simplified

Which option below is the factored form of the rational expression?
 $\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)}{\left(x+6\right)\left(x+6\right)}\cdot\frac{\left(x-5\right)\left(x-6\right)}{x-9}$  

•  $\frac{3\left(x-9\right)}{\left(x+6\right)\left(x-6\right)}\cdot\frac{\left(x-6\right)\left(x\ +5\right)}{x-9}$  

Simplify $\frac{x+9}{x^2-81}$  

• $\frac{x-9}{x+9}$

• $\frac{1}{x-9}$

• $x+9$

• $\frac{1}{x+9}$

Tags

CCSS.HSA.APR.D.6

Simplify

 $\frac{x^2+10x+24}{x^2-x-20}$  

• $\frac{x+6}{x+4}$

• $\left(x+6\right)\left(x+4\right)$

• $x+6$

• $\frac{x+6}{x-5}$

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

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

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

•  $\frac{1}{\left(x\ +\ 2\right)}\cdot\frac{\left(x\ +\ 6\right)}{1}$  

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

What are the restricted values for x?

 $\frac{x}{x^2+x-12}$  

• x = - 3 and x = 4

• x = 3 and x = - 4

• x = 3 only

• x = - 4 only

What are the restricted values for x?

 $\frac{7m+42}{m^2+3m-18}$  

• x ≠ -6

• x ≠ -6, 3

• x ≠ 3

• x ≠ -18