Name                          .

Math 152B Practice Midterm II

Please do all of the following problems.  All work and all answers must be done on your own paper.  Credit earned will be based on the steps that you show that lead to the final solution.  Good Luck!

Problem 1   Find the root: 

    Solution

Problem 2   Simplify the expression.  Leave your answer in exponential form with only positive exponents.

  Solution

Problem 3  Multiply and Simplify

  Solution

Problem 4   Simplify the expression.  Assume all variables represent positive real number.

   Solution

Problem 5    Multiply and Simplify

   Solution

Problem 6  Rationalize the denominator

             5
                       
          4 -

     Solution

Problem 7 Solve

      Solution

Problem 8   Simplify

   Solution

Problem 9   Divide and write your answer in the form a + bi.

        2 + 5i
                   
        4 - 3i  

    Solution

Problem 10  Answer the following true or false.  Please explain your reasoning.

1. 
   
   
   
   Solution
   
   

2. If z is a complex number and z is its conjugate, then their product, z z , is a real positive number.
   
   Solution