# Complex Numbers Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. How many roots does the equation below have?

#### Question 2 2. What type of solution(s) would you get from the equation below?

#### Question 3 3. Which complex number would look like it was at the coordinates (-2, 4) if it was graphed?

#### Question 4 4. Which statement MUST be true about the equation below?

#### Question 5 5. What tells you whether your solutions to a quadratic equation will be real or complex?

### Page 2

#### Question 6 6. Which number is represented by the graph below?

#### Question 7 7. The graph below represents which complex number?

#### Question 8 8. What is the complex conjugate of the expression below?

#### Question 9 9. Which pair are NOT complex conjugates?

####
Question 10
10.
In math, *i* equals to _____.

### Page 3

#### Question 11 11. Select the true statement.

####
Question 12
12.
Simplify:

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

#### Question 13 13. Simplify.

#### Question 14 14. Solve the equation below:

#### Question 15 15. Which of the following graphs represents the complex number 3 + 2i on the complex plane?

### Page 4

#### Question 16 16. Simplify.

####
Question 17
17.
Simplify:

2/(1+ i)

####
Question 18
18.
Simplify:

3/2i

#### Question 19 19. Which of the following expressions is a complex number?

#### Question 20 20. What is the most simplified form of the expression below?

### Page 5

####
Question 21
21.
Solve for x:

2x^2 + 4x + 3 = 0

#### Question 22 22. What is the simplified value of the expression below?

#### Question 23 23. Simplify.

#### Question 24 24. Find the roots of the equation below:

####
Question 25
25.
Simplify:

(2 + 2i) - i

### Page 6

#### Question 26 26. Which of the following graphs represents the complex number -i on the complex plane?

#### Question 27 27. What would be the first step in dividing the complex numbers below?

####
Question 28
28.
What kind of solutions will this quadratic equation have:

4x^2 + 3x + 1 = 0

#### Question 29 29. Which two complex conjugates would multiply to equal 13?

#### Question 30 30. Simplify.

#### Complex Numbers Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!