INTERMEDIATE ALGEBRA    EXAM 4 DR*    NAME __________________ 

SHOW ALL WORK ON THIS TEST OR ON SEPARATE PAPER.  Circle answers.     

TURN IN ALL WORKSHEETS.  CALCULATORS ARE PERMITTED ON THIS TEST.

1. Graph the equations:

    a)                                                                 b)   2x + 3y = –10

         slope = ____                                                                       x-int = ____

        y-int = ____                                                                         y-int = ____            

                                                          

 2.    Given the points ( 2, –1 ) and (–2, –3 ), find:

       a) midpoint                               b) slope                                c) distance

                                               

 

 

3.   Find the equation of the line, in y = mx + b form,  passing through  

      ( 2, –1 ) and (–2, –3 ).             

 

                      

 

 

4.  Find the equation of the line (y=mx+b form) that passes through ( –2 , 5 )

      a) and parallel to  5x + 3y = –10.                 b)  and perpendicular to  5x + 3y = –10.

  

  

 

In 5 – 8, solve the systems of equations. Show work algebraically! 

5.     9x – 4y =     2                                               6.     2x – 6y  =  12 

        2x + 5y = –29                                                      – x + 3y = – 6

 

 

 

7.   – 8x + 6y = 32                                                    8.    Solve for y:      

        x  = 2y + 6                                                               5x - 3y = 3

                                                                                        4x - 5y = 9       

 

 

9. Graph the intersection of             

             y ≤  – 3x + 3             

           2x – 5y > – 10                             

                                                   

10.  If                                

       a)   f(2) =                                 b)    f(–2) =                                c)    f(0) =                   

 

       d)    f(–4) =                               e)   f(Junk)=

 

  

11. Find the domain (interval notation when appropriate):

   

     a)   y = x225                               b)                         c)                 d) 

 

 

 

 

 

 

 

12.  Find the domain and range of each of the following graphs.

       Determine whether each is a function or not a function.                                                                    

                                                             

                 Domain: _________                                               Domain: _________

                  Range: __________                                                Range: __________

                 Function? _______                                                 Function? _______

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Dr. Robert J. Rapalje Altamonte Springs Campus
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