Rational Algebraic 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.D.6

CCSS.HSA.APR.D.7

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

•  $\frac{4c^6}{a^2}$  

•  $\frac{1a^2c^6}{4}$  

•  $\frac{1c^6}{4a^2}$  

•  $\frac{1a^2}{4c^6}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following is NOT a rational algebraic expression?

• $\frac{3}{\sqrt{x}}$

• $\frac{a+4}{6}$

• $x^2+2xy$

• $5$

Give the domain of     $\frac{y+2}{y-2}$  

• all real numbers except   $-1$  

• all real numbers except  $1$  

• all real numbers except  $-2$  

• all real numbers except  $2$  

 $\frac{8-y}{z^2+5z}$  

Give the values for which the given rational expression is undefined?

•  $z=0\ \ \ \ and\ \ \ \ \ z=5$  

•  $z\ =0\ \ \ \ and\ \ \ \ z=-5$  

•  $z=0\ \ \ \ and\ \ \ \ z=-1$  

•  $z=0\ \ \ \ and\ \ \ \ z=1$  

 $\frac{x}{x+3}+\frac{3}{x+3}=$  

•  $x^2$  
  

•  $\frac{3x}{x\ +\ 3}$  
  

• 1

•  $\frac{3x}{3x}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$ 

•  $1$ 
  

•  $\frac{x+4}{x^2-16}$ 
  

•  $\frac{1}{x-4}$ 

•  $\frac{1}{x+4}$ 
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

• 4 / 7v²

• 4 / 7v

• 20 / 35v

• 20 / 35v²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 7(r + 2)/ (r + 2)

• (r - 8) / (r + 2)

• (r + 2) / 7

• (r - 8) / 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3