# Compass Math: Polar Coordinates & Parameterization Chapter Exam

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### Page 1

#### Question 1 1. What is the polar form of a complex number?

#### Question 2 2. Which of the following is a polar equation?

####
Question 3
3.
What kind of graph do these parametric equations produce?

y = t^2

x = t + 2

#### Question 4 4. Convert the Cartesian point (-6, 10) to polar coordinates.

#### Question 5 5. If our Cartesian coordinate point is in the third quadrant, what do we need to do to our theta answer from the calculator?

### Page 2

#### Question 6 6. If our rectangular equation consists of the variables x, y, and z, how many equations will be part of our parametric equation?

#### Question 7 7. Evaluate the parametric equation x = 9t and y = t^2 for t = -1.

#### Question 8 8. Convert y = 5x^2 - 3 to parametric form.

#### Question 9 9. Which of the following is a straight line that is part of defining a conic section?

#### Question 10 10. How many parameters does a parametric equation have?

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#### Question 11 11. Which of the following is the standard form that covers all the shapes of a conic section?

#### Question 12 12. What is the eccentricity of a circle?

#### Question 13 13. How many parameters does a parametric equation have?

#### Question 14 14. Convert 3 + 4i to polar form.

#### Question 15 15. What is the starting point of a deer that is walking along the path given by the parametric equations x = 3t and y = t^2 + 3?

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

#### Question 17 17. If a rectangular equation has two variables, how many equations will our parametric equation consist of?

#### Question 18 18. The path of a car is given by the parametric equations x = t + 3 and y = 2t. What is the position of the car at t = 2?

#### Question 19 19. Which of the following statements is true?

#### Question 20 20. What is the best way to graph parametric equations?

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#### Question 21 21. How many equations does one rectangular equation have?

#### Question 22 22. Which of the following is a complex number?

#### Question 23 23. 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 24 24. What else may we have to use to help us eliminate our parameter?

#### Question 25 25. Limiting our parameter does what to our path?

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#### Question 26 26. What is the best way to graph a polar equation?

#### Question 27 27. How many parameters does a parametric equation have?

#### Question 28 28. Evaluate the parametric function x = t + 1 and y = t^3 for t = 2.

#### Question 29 29. Convert x = 5t and y = t - 6 into rectangular form.

#### Question 30 30. Convert (1, 2) to polar coordinates.

#### Compass Math: Polar Coordinates & Parameterization 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!