1(0.5). Simplify expression with complex numbers.
Write the answer in form  a+bi,  where a  and b are real numbers.

    (6 – 4i)(5 + 9i)    

  

 

2(0.5). Simplify expression with complex numbers.
Simplify. Write the answer in form  a+bi,  where a  and b are real numbers.

   (5 – 4i)²

 

3(0.5). Simplify complex number (i² = - 1).

    i¹⁰⁷

 

4(0.5). Solve quadratic equation:   15x + 3x² = 0   

 

 

 

 

 

5. Solve quadratic equation (the answer might involve i value):   2x² + 2x + 5 = 0   

 

 

 

 

 

6. Find coordinates of vertex, determine if the function has minimum or maximum
value and find that value:

                                     f(x) = 2x² + 10x + 5   

 

 

 

 

 

 

7. Which one represents graph of the function: f(x) = – x² + 4x – 10

 

                    A                                           B                                          C

 

8. Solve inequality with absolute value

 

|2x – 1| + 7 < 12

 

 

 

 

9. Find x-interval(s) that holds solution for this inequality

 

x² - 3x > 4

 

10. Find x-interval(s) that holds solution for this inequality

 

2x² + 3x - 2 < 0

 

 

 

 

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