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Real Numbers

Radicals

Inequalities & Absolute Value

Polynomials

Rational Expressions 1

Rat'l. Exp. 2 - mult&div

Rat'l. Exp. 3 - add&subt

Slope & Equations of Lines

Review&Test

 

                                                                                                                                                                                          

jdsmathnotes

 


UNIT 1  : PRECALCULUS PREP

 LESSON 5:  RATIONAL EXPRESSIONS 1 HOMEWORK QUESTIONS

 

 

Text Box: Simplifying Rational Expressions:
·	Factor the numerator and denominator if possible
·	Reduce to lowest terms by dividing out common factors
·	State any restrictions – remember the denominator cannot equal 0.
 

 

 

 

 

 

 

 


1.  Simplify and state the restrictions:

 

2.  Simplify and state the restrictions:

                                                                                         

 

3.  Simplify and state the restrictions:

 

4.  Simplify and state the restrictions:

 

 

Solutions:

 

1.  Simplify and state the restrictions:

 

 

Solution:

 

 

 

                       

 

2.  Simplify and state the restrictions:

 

                                                                                         

 

Solution:

              

Note: The expression (a – b) can always be rewritten by factoring out “-1”  à  a – b = -1(b – a)

 

 

            

 

 

 

 

3.  Simplify and state the restrictions:

 

 

Solution:

 

 

 

4.  Simplify and state the restrictions:

 

 

Solution:

 

 

 

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