Name                          .  

Math 152B Practice Exam I

Please do all of the following problems.  Credit earned will be based on the steps that you show that lead to the final solution.  Good Luck!

Key 

Problem 1:  Factor the expression completely:

A)   x4 - 9x2 

B)    x2 + 3x - 54 

C)    6x2 + 11x - 10 

D)    128xyz3 + 54x4y   

 

Problem 2:  Perform the indicated operations and express your answer in simplest form.  

A       2x2 - x - 1     x2 - 6x + 8
                           .                                       
         x2 - 5x + 4    2x2 - 3x -2

B       x2 + 2 xy + y2            y + x
                                                                 
          x2 - x - 2                   x - 2

C         2             x
                   +                              
         5 - x       x - 5  

D         x                  3
                     +                                      
         x2 - 1       x2 + 6x + 5

 

Problem 3:  Solve the following equations

A.   x3 - 2x2 + x = 0

B.    4x2 = 15 - 4x  

 

Problem 4:  The pressure p in pounds per square foot of a wind is directly proportional to the square of the velocity v of he wind.  If a 10-mi/hr wind produces a pressure of 0.3 lb/ft2, what pressure will a 100-mi/hr wind produce?  

 

Problem 5:  Simplify the following rational expression          

           x3 - 8    
                                         
          x2 - 4   

 Extra Credit:  Write down one thing that your instructor can do to make the class better.
(Any constructive remark will be worth full credit)