8.4B Worksheet-Dividing Rational Expressions

1. $\frac{7x^4}{24y^5}\div\frac{21x}{12y^4}$  

•  $\frac{x^3}{5y}$  

•  $\frac{x^3}{6y}$  

•  $\frac{147x^5}{288y^9}$  

•  $\frac{6y}{x^3}$  

Tags

CCSS.HSA.APR.D.7

What are the restrictions for #1?

• $x\ne0$

• $y\ne0$

• $y\ne288$

• 
  

  $x,y\ \ne0$
  

2.  $\frac{5y}{2x^2}\div\frac{5y^2}{8x^2}$  

•  $\frac{4y}{y^2}$  

•  $\frac{40x^2y}{10x^2y^2}$  

•  $\frac{20x}{5y}$  

•  $\frac{4}{y}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What are the restrictions for #2?

• 
  

  $x,y\ \ne0$
  

• $x\ne0$

• $y\ne0$

• $no\ restrictions$

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

3.  $\frac{6x+6}{7}\div\frac{4x+4}{x-2}$  

•  $\frac{3\left(x-2\right)}{7}$  

•  $\frac{x-2}{14}$  

•  $\frac{3\left(x-2\right)}{14}$  

•  $\frac{6\left(x+1\right)\left(x-2\right)}{28\left(x+1\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What are the restrictions for #3?

• 
  

  $x\ne1$
  

• $x\ne-1$

• $x\ne-1,2$

• no restrictions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

4.  $\frac{3y+3}{6y+12}\div\frac{18}{5y+5}$  

•  $\frac{5\left(y+2\right)}{36\left(y+2\right)}$  

•  $\frac{5}{36\left(x+2\right)}$  

•  $\frac{15}{36\left(y+2\right)}$  

•  $\frac{5\left(y+1\right)^2}{36\left(y+2\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

What are the restrictions for #4?

• $y\ne2$

• 
  

  $y\ne-2$
  

• $y\ne-2,\ -1$

• $y\ne2,\ 1$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

5.  $\frac{y^2-49}{\left(y-7\right)^2}\div\frac{5y+35}{y^2-7y}$  

•  $5$  

•  $\frac{1}{5}$  

•  $\frac{y}{5}$  

•  $\frac{y}{5\left(y-7\right)}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What are the restrictions for #5?

• $y\ne7$

• $y\ne-7$

• $y\ne\pm7,\ 5$

• 
  

  $y\ne\pm7,0$
  

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.2