Name:   Factoring  out  GCF           A.  Finding  GCF             EX:  Find  the  GCF  of  the  following:   3

b.   28 p  and   49  

2

a.   8r  and   64r         3

2

2

d.   56xw  and   49xk      

c.   12x y  and   2x y         B.  Factoring  Out  GCF   EX  1:  Factor  the  following:   a.   12bc − 4bd                   c.   56x y − 35x               5

5

 

 

 

 

b.   15x + 5x  

 

 

 

 

d.   5x + 10x + 15  

2

2

EX  2:  A  company’s  weekly  revenue  in  dollars  is  given  by   R = 2000x − 2x .  Factor  this.             EX  3:  The  height  of  a  projectile  launched  vertically  upward  from  the  top  of  a  96-­‐foot  tall  tower  is  given  by   2

h = −16t 2 + 80t + 96 .  Factor  this.  

                Beginning  Algebra  

The  simplest  schoolboy  is  now  familiar  with  facts  for  which  Archimedes  would  have  sacrificed  his  life.~Ernest  Renan  

C.  Solving  for  a  Variable   EX  1:  Solve   S = 2lw + 2lh + 2wh  for   l     Get  terms  with  variable  solving  for  on  _______  side  of  the   equal  sign.     ______________  out  the  variable.  

 

  ________________  for  the  variable.  

 

 

  EX  2:  Solve   S = a + Nd − d  for   d                    

Challenge:  A  group  of  students  were  polled  to  see  which  courses  they  were  taking.  64%  were  taking  English,  22%  were  taking  a  foreign  language,   and  7%  were  taking  both.  What  percentage  of  students  polled  were  taking  neither  subject?  

 

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