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

 $Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}$  

•  $\frac{x}{x+3}$  

•  $\frac{x}{x-3}$  

•  $\frac{x+6}{x-3}$  

•  $\frac{x}{x+6}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

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

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$  

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 statement describes a rational algebraic expression?

• It is the reverse process of multiplication.

• Fraction which numerator and denominator are polynomials

• Fraction which numerator and denominator are whole numbers

• It cannot be factored using only integers

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

•  $1$ 
  

•  $\frac{x+4}{x^2-16}$ 
  

•  $\frac{1}{x-4}$ 

•  $\frac{1}{x+4}$ 
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

 $\frac{x}{x+3}+\frac{3}{x+3}=$  

•  $x^2$  
  

•  $\frac{3x}{x\ +\ 3}$  
  

• 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

Identify the given if it is rational expression or not. 

 $\frac{n}{8+\sqrt{n}}$  

• rational expression

• not rational expression

Which value of x is not allowed in the expression

 $\frac{x^2-x-12}{x-5}$  ?

• 0

• -3

• 4

• 5

For what value of x will the expression

 $\frac{x+2}{2x+4}$  be undefined?

• -1/2

• -1

• -2

• -4

Add:

 $\frac{x+1}{x-1}+\frac{x+1}{x^2-1}$  

•  $\frac{x-1}{x}$  

•  $\frac{x^2+2}{x}$  

•  $\frac{x^{\ }+1}{x\ -1}$  

•  $\frac{x^{ }+2}{x\ -1}$