Simplifying Rational Expressions- Reduce by Factoring Lab

 

Name:  _________________________________                 Date:  _________________

 

 

1.  Simplify: 

 

a.                                    c.        

 

b.                                   d.        

 

 

 

2.  Simplify: 

 

            a.                                   c.        

 

            b.                                 d.        

 

 

 

3.  Simplify: 

 

            a.                                    c.        

 

            b.                                 d.        

 

 

 

 

4.  Simplify: 

 

            a.                                   c.        

 

b.                                   d.        

 

 

 

 

5.  Simplify: 

 

            a.                                   c.        

           

            b.                                    d.        

 

 

 

6.  Simplify:              

 

            a.                                  c.         2x - 4

 

            b.         x – 2                            d.         2

 

 

 

 

 

 

 

 

 

 

ANSWERS TO REDUCING BY FACTORING LAB

 

1.  C                Simplify: 

 

Step 1:  Factor numerator and denominator:                               

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                       

________________________________________________________________________

 

2.  D                Simplify: 

 

Step 1:  Factor numerator and denominator:                 

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                       

________________________________________________________________________

 

3.  D                Simplify: 

 

Step 1:  Factor numerator and denominator:                 

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                       

 

 

 

4.  C                Simplify: 

 

 

Step 1:  Factor numerator and denominator:                 

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                       

________________________________________________________________________

 

5.  B                Simplify: 

 

Step 1:  Factor numerator and denominator:                 

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                       

 

________________________________________________________________________

 

6.  D                .  Simplify:      

 

Step 1:  Factor numerator and denominator:                 

 

Step 2:  Cross out common numerators and denominators because they equal 1:

 

Answer:                        2