Final Exam

College Algebra

 

                                                                                          NAME_____________________

 

 

All work must be shown to receive full credit.  Put all answers in simplest form.

 

 

 

1.                                        2.                       3.   

 

 

 

Put in simplest form:

 

4                                                    5. 

 

 

 

 

6.                                          

 

 

 

 

7.            

 

 

 

 

 

Solve for x.  Use any method.

 

 

 

 

8.                                                      9.    

 

 

 

 

10.    Solve and Graph the solutions: 

 

 

 

 

 

       11.  Graph the domain and range of:  on a number line:

 

 

 

 

 

 

  1.  Find the equation of the line through the points (-3,6) and (4,1).  Write

the equation in slope-intercept form.

 

 

 

 

 

  1. let   and .  Find the following:

 

 

a.                                                                     b. 

 

(this means: find the inverse of f(x) and the inverse of g(x))

 

 

 

14.  Solve for x.    

 

 

 

 

 

 

15.   Evaluate using your calculator and the change of base formula:  

 

 

 

 

16.    Solve the system of equations below by substitution:

 

 

 

 

 

 

 

 

 

 

 

17.    Now use the elimination method to solve this linear system:

 

 

 

 

18.    Change the following system of equations to matrix form.  Now use row reduction

to solve the system for x,y and z:

 

 

       

 

In #19-20, assume that each grid mark represents one unit.

 

 

19.    Which below is the correct graph of this function: ?

A                                                               B

                                       

     

      C                                                               D

                                       

                                                     

 

 

 

20.    Which below is the graph of  the line that passes through (-2,1)  and (0,-3)?

 

A                                                               B

                                    

 

      C                                                               D