Name                          .

 

Math 152B Practice Exam 3

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!

  Key

Problem 1: 

Write down the quadratic formula

 

Problem 2:

Find the root: 

         

 

Problem 3: Simplify the expression.  Leave your answer in exponential form with only positive exponents.

       

 

Problem 4:

Use the discriminant to determine the nature of the roots of the following quadratics.

A.     2x2 + 3x + 4  =  0

B.    3x2 + x - 4  =  0 

C.      4354324532453x2 + 2x + 6798797698766  =  0

 

Problem 5:   Multiply and Simplify

       

 

Problem 6:  

Solve the equation by using the factoring or root method.

A) 10x2  =  13x + 3 

          

B)   2x2 + 15 = 11

 

 

Problem 7:  

Solve the following by completing the square

   5x2 - 20x + 21  =  0

 

Problem 8: 

Solve the following using the quadratic formula 

        6x2 + 5x - 4  =  0 

 

Problem 9  Simplify the expression.  Assume all variables represent positive real number.

         

 

Problem 10  Multiply and Simplify

       

Problem 11  Rationalize the denominator

             5
                       
          4 -

 

Problem 12  Simplify

       

Problem 13  Solve the equation

       

 

Problem 14  Solve the compound inequality

        2x - y > 4

        2x + 3y < 6

 

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