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NMTA Math: Complex Numbers Chapter Exam

Exam Instructions:

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. Which two complex conjugates would multiply to equal 13?

Question 2 2. What is the polar form of a complex number?

Question 3 3. Which number is represented by the graph below?

Question 4 4. Which of the following expressions is written as a complex number?

Question 5 5. Which of the following is an imaginary number?

Page 2

Question 6 6. Simplify the following expression.

Question 7 7. Which complex number would look like it was located at the coordinates (-2, 4) if it was graphed?

Question 8 8. Which of the following is a complex number?

Question 9 9. Multiply and simplify the following expression:

Question 10 10. What is the complex conjugate of the expression below?

Page 3

Question 11 11. What is the first step in dividing the complex numbers below?

Question 12 12. Which number is represented by the graph below?

Question 13 13. Which of the following graphs represents the complex number -i on the complex plane?

Question 14 14. Add and simplify the following expression:

Question 15 15. What is the simplified value of the expression below?

Page 4

Question 16 16. Which quadrant does the complex number -4 - 9i lie in?

Question 17 17. Convert 3 + 4i to polar form.

Question 18 18. Add and simplify the following expression:

Question 19 19. Which of the following graphs represents the complex number 3 + 2i on the complex plane?

Question 20 20. When finding the angle for the polar form, what do you have to do to your calculator's answer to find the correct answer if the complex number is in the fourth quadrant?

Page 5

Question 21 21. Which of the following is a complex number with a non-zero real part and a non-zero imaginary part?

Question 22 22. What type of solution(s) would you get from the equation below?

Question 23 23. In math, i equals _____.

Question 24 24. Subtract and simplify the following expression:

Question 25 25. Simplify the following expression:

NMTA Math: Complex Numbers Chapter Exam Instructions

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!

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