1.      Simplify:                 a)                    b)                              c)      

 

2.      Simplify:                 a)                      b)                                     c)    

 

3.      Simplify the radicals and then find the sum or difference:

 

a)      

b)       

c)       

 

4.      Multiply the conjugates:

 

a)                                      d)     

b)                                                   e)     

c)                                                   f)     

 

5.      Solve:

 

a)    

b)    

 

6.      Solve the problem:

 

a)        The diagonal of a square has length  in.   Find the exact length of a side of the square.

b)        A diagonal of a rectangle is 10 cm and the rectangle’s width is 5.  Find the length of the rectangle.

c)        The diagonal of a square is 24 in.   Find the exact length of a side of the square.

 

7.      Express in terms of i:

 

a)                                                    c)     

b)                                                  d)     

 

8.      Simplify:

 

a)                                                          c)     

b)                                                          d)     

 

9.      Solve:

 

a)                                          c)        

b)                                          d)         

 

10.  Solve:

 

a)                                    c)         

b)                                   d)       

 

11.  Without graphing, find the vertex:

 

a)       

b)   

 d)  

 

12.  Find the vertex:

 

a)     

b)    

c)    

 

13.  Graph:

 

a)                                             c)   

 

b)                                                      d)   

 

14.  Solve.  Provide answers in interval notation:

 

a)                                  d)     

b)                              e)      

c)                                  f)