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Complex Numbers Chapter Exam

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1.

Simplify:

(3 + 2i)(3 - 2i)

2.

Simplify:

2/(1+ i)

3.

Simplify:

3/2i

4. What would be the first step in dividing the complex numbers below?

5. Which statement must be true about the equation below?

6. Which complex number is represented by the graph below?

7. What type of solutions would you get from the equation below?

8. The graph below represents which complex number?

9. Which two complex conjugates would multiply to equal 13?

10. Which of the following expressions is a complex number?

11. Divide

12. Subtract the complex numbers below

13.

Solve for x:

2x^2 + 4x + 3 = 0

14. What is the simplified value of the expression below?

15.

Simplify:

(2 + 2i) - i

16. What is the most simplified form of the expression below?

17. Which of the graphs below represents the complex number 3+2i on the complex plane?

18. Which graph below represents the complex number -i on the complex plane?

19. Solve the equation below

20. Find the roots of the equation below

21. Add the complex numbers below

22. What is the complex conjugate of the expression below?

23. Which complex number would look like it was at the coordinates (-2,4) if it was graphed?

24. Simplify

25. Multiply and simplify the complex numbers below

26. Divide

27. Select the true statement.

28. What tells you whether your solutions to a quadratic equation will be real or complex?

29. Which pair are NOT complex conjugates?

30. How many roots does the equation below have?

31.

What kind of solutions will this quadratic equation have:

4x^2 + 3x + 1 = 0

32. Which basic operation of complex numbers will require you to learn completely new skills?

33. What is the mathematical number i equal to?

34. Which of the following expressions is an imaginary number?

35. Which complex number is represented by they graph below?

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