Simplifying Rational Expressions

 $Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$  

•  $\frac{x^4}{y^3}$  

•  $\frac{x^{12}}{y^3}$  

•  $x^{12}y^{27}$  

•  $\frac{y^3}{x^4}$  

Tags

CCSS.HSA.APR.A.1

 $Simplify:\ \frac{5a^3c^{10}}{20a^5c^4}$  

•  $\frac{4c^6}{a^2}$  

•  $\frac{1a^2c^6}{4}$  

•  $\frac{1c^6}{4a^2}$  

•  $\frac{1a^2}{4c^6}$  

Tags

CCSS.HSA.APR.A.1

 $Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}$  

•  $\frac{2y}{w^3}$  

•  $\frac{1y}{2w^3}$  

•  $\frac{y^4}{w^2}$  

•  $\frac{1y^{21}}{2w^9}$  

Tags

CCSS.HSA.APR.A.1

 $Simplify:\ \frac{-30x^5y^8}{6x^5y^9}$  

•  $\frac{1}{5y}$  

•  $-5y$  

•  $-5x^{10}y^{17}$  

•  $\frac{-5}{y}$  

Tags

CCSS.HSA.APR.A.1

 $Simplify:\ \ \frac{x^{-4}y^7}{x^2y^{-3}}$  

•  $\frac{y^{10}}{x^6}$  

•  $\frac{x^6}{y^{10}}$  

•  $\frac{y^4}{x^2}$  

•  $\frac{x^2}{y^4}$  

Tags

CCSS.HSA.APR.A.1

 $Simplify:\ \ \ \frac{24a^3c^4}{8a^{-2}c^{-3}}$  

•  $16ac$  

•  $3ac$  

•  $3a^5c^7$  

•  $\frac{3}{a^5c^7}$  

Tags

CCSS.HSA.APR.A.1

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

 State the values of x which must be excluded to prevent division by zero.

• -2 and 5

• 2 and -5

• 0, 2, and -5

• 0, -2, and 5

Tags

CCSS.HSF-IF.C.7D

 $\frac{\left(x\ +\ 1\right)\left(x-4\right)}{\left(x-4\right)\left(x+7\right)}$  
State the values of x that must be excluded to prevent division by zero.

• -1, 4, and -7

• -1 and 4

• -4 and 7

• 4 and -7

Tags

CCSS.HSF-IF.C.7D

 $\frac{\left(x-3\right)\left(x+4\right)}{x\left(x-3\right)}$  
State the values of x that must be excluded to prevent division by zero.

• 0 and 3

• 0 and -3

• 3 and -4

• 0, 3, and -4

Tags

CCSS.HSF-IF.C.7D

 $Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$  

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Tags

CCSS.HSA.APR.D.6