Rewrite By Factoring Worksheet

                     Lesson 1

 

                                       Problem:         write by Factoring     

                                                                                    5t+5m   

                                                                                                  

                                       Solution          The expression can be re-written  

 

                                       Step 1:              5t = 5 x t and 5m = 5 x m                           

                                       Solution          We can quickly recognize that both terms contain the factor 5 in common in the given expression.

  

                                       Step 2:                      

                            

                                       Solution         The right hand side of the above equation is in factored form because it is a single term only.

 

                                       Step 3:   

 

                                      Solution          The expression does not consist of two or more parts which are connected by plus or minus signs.

                                      Step 4: 

                 

                                       Solution          The factored expression above is mathematically equivalent to the original expression and is easily verified by  multiplication.

 

                                      Complete        5t + 5m = 5(t + m)

                                      

                                      Try two practice problems:  

                                                              Write by Factoring 

    

                                                                                A.  Rewrite  7i-ui                       B.  Rewrite  2e+2k

 

 

 

 

                                                                                          

 

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