Name                          .

 

Math 152B Midterm 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!

 

Problem 1:  Factor the expression completely:

A)   x4 - 9x2 Solution

B)    x2 + 3x - 54 Solution

C)    6x2 + 11x - 10 Solution

D)    128xyz3 + 54x4y Solution

 

 

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

 

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

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

 

 

Problem 3:  Solve the following equations

 

A.   x3 - 2x2 + x = 0 Solution

 

B.    4x2 = 15 - 4x Solution

 

 

Problem 4:  Solve the following inequalities

 

A.     |4 - 3x|  < 2 Solution

 

B.  |3x + 1| < 0 Solution

 

Problem 5:  There is a lookout post situated in the center of a 3 mile circular trail.  How far is the lookout post from the trail? Solution

 

Problem 6:  Please answer the following true or false and explain your reasoning.

A.  If all terms of a trinomial are positive, all terms of both binomial factors will be positive  Solution

B.  The solution to the inequality |x - 4|  <  -1 is the interval [3,5]. Solution

 

Extra Credit:  Write down one thing that your instructor can do to make the class better.

(Any constructive remark will be worth full credit)