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Complex Numbers Chapter Exam

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

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

3. What is the mathematical number i equal to?

4. How many roots does the equation below have?

5. Select the true statement.

6. Add the complex numbers below

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

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

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

10. The graph below represents which complex number?

11.

Simplify:

(2 + 2i) - i

12. Divide

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

14. Find the roots of the equation below

15.

Solve for x:

2x^2 + 4x + 3 = 0

16. Solve the equation below

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

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

19. Multiply and simplify the complex numbers below

20.

Simplify:

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

21. Simplify

22. Divide

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

24.

Simplify:

2/(1+ i)

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

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

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

28. Subtract the complex numbers below

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

30. Which pair are NOT complex conjugates?

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

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

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

34.

What kind of solutions will this quadratic equation have:

4x^2 + 3x + 1 = 0

35.

Simplify:

3/2i

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