Activity: Rational Algebraic Expressions

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

What does simplifying rational algebraic expression mean?

• Getting its lowest term

• Getting its factored form

• Gettings its common factors

• Getting its reciprocal

Simplify:

 $\frac{4x^4}{10x^2}$  

•  $\frac{2}{5x^6}$  
  

•  $\frac{2x^6}{5}$  
  

•  $\frac{2}{5x^2}$  
  

•  $\frac{2x^2}{5}$  
  

Which of the following is the first step in multiplying rational algebraic expression?

• Write the numerator and denominator in factored form
  

• Multiplying the remaining factors
  

• Cancel common factors
  

• Check to see if you can reduce it again
  

 $\frac{9}{10x}\cdot\frac{5x}{7x^2}=$  

•  $\frac{2}{3}$  
  

•  $\frac{1}{4}$  
  

•  $6x^2$  
  

•  $\frac{9}{14x^2}$  
  

 $\frac{7m^2}{8m}\div\frac{9}{8m^2}=$  

•  $\frac{7}{4}$  
  

•  $\frac{1}{20}$  
  

•  $\frac{7m^3}{9}$  
  

•  $\frac{9}{14x^2}$  
  

Tags

CCSS.HSA.APR.D.7

All are the following steps in multiplying rational algebraic expression except

• Simplify if possible

• Factor out the numerator and denominator

• Cancel out common factors

• Get the reciprocal of the second given

 $\frac{x}{x+3}+\frac{3}{x+3}=$  

•  $x^2$  
  

•  $\frac{3x}{x\ +\ 3}$  
  

• 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

 $Add:\ \frac{2x}{10x^2}\ and\ \frac{3x}{10x^2}$  

•  $\frac{5x}{10x^2}$  
  

•  $\frac{1}{2x}$  
  

•  $\frac{x}{2}$  

•  $\frac{2x}{1}$  
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

•  $1$ 
  

•  $\frac{x+4}{x^2-16}$ 
  

•  $\frac{1}{x-4}$ 

•  $\frac{1}{x+4}$ 
  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7