Overview of 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!

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Question 1 1. Which basic operation of complex numbers will require you to learn completely new skills?

Question 2 2. Simplify.

Question 3 3. Simplify.

Question 4 4. Simplify.

Question 5 5. Simplify.

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Question 6 6. Which of the following graphs represents the complex number 3 + 2i on the complex plane?

Question 7 7. Which of the following graphs represents the complex number -i on the complex plane?

Question 8 8. Which complex number would look like it was at the coordinates (-2, 4) if it was graphed?

Question 9 9. Which number is represented by the graph below?

Question 10 10. Which number is represented by the graph below?

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Question 11 11. Which of the following is a complex number?

Question 12 12. 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?

Question 13 13. Convert 3 + 4i to polar form.

Question 14 14. Which quadrant does the complex number -4 - 9i lie in?

Question 15 15. What is the polar form of a complex number?

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Question 16 16. The complex number Z = 0 - 3i will be located _____.

Question 17 17. The complex numbers Z1 = 2 + 3i and Z2 = 2 - 3i will be aligned vertically along a line crossing the Real axis at _____.

Question 18 18. In an Argand diagram, the complex number Z = 3 - 0i will be a point _____.

Question 19 19. What is the complex number for the point shown in the following Argand diagram?

Question 20 20. For the point shown in the following Argand diagram, what is the complex number being represented?

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Question 21 21. What would be the first step in dividing the complex numbers below?

Question 22 22. Simplify.

Question 23 23. Simplify.

Question 24 24. Which two complex conjugates would multiply to equal 13?

Question 25 25. What is the complex conjugate of the expression below?

Overview of 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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