# ACT Math - Conic Sections: Help and Review 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. What is the center of this ellipse?

#### Question 2 2. Which ellipse has a center located at (-1, 5)?

#### Question 3 3. What is the equation of the ellipse with a center located at (6, 0), an x radius of 2, and a y radius of 4?

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Question 4
4.
What does *h* equal (hint: use the equation for standard form of a horizontal parabola)?

(y - 7)2 = 8(x - 2)

*h*equal (hint: use the equation for standard form of a horizontal parabola)?

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Question 5
5.
What does p equal in this equation (hint: use the equation for standard form of a vertical parabola)?

(x - 2)2 = 36(y - 1)

### Page 2

#### Question 6 6. Which equation gives us this parabola?

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Question 7
7.
How far away is the right side of the ellipse from the center?

(x - 5)^2/9 + (y + 9)^2/16 = 1

#### Question 8 8. What does h equal in this ellipse?

####
Question 9
9.
What is the center of this ellipse?

(x - 3)^2/4 + (y - 1)^2/9 = 1

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Question 10
10.
What is the vertex of this parabola?

(y - 2)^2 = -8(x - 1)

### Page 3

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Question 11
11.
What is the vertex of this parabola?

(x - 3)^2 = 12(y - 4)

#### Question 12 12. Which parabola below has a vertex at (-3, 0)?

#### Question 13 13. How many arcs does a hyperbola have?

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Question 14
14.
Which of the following is a vertex of this hyperbola?

(x - 2)^2/9 - (y - 3)^2/16 = 1

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Question 15
15.
The foci of this hyperbola have the coordinates (h, k + c), (h, k - c)

What is the c value of this hyperbola?

(y - 6)^2/9 - (x - 8)^2/16 = 1

### Page 4

#### Question 16 16. Which conic section is this?

#### Question 17 17. Which is the hyperbola?

#### Question 18 18. Which conic section is this?

#### Question 19 19. What is the most important measurement of a circle?

#### Question 20 20. What is the circumference of a circle with a diameter of 6 inches?

### Page 5

#### Question 21 21. What is the circumference of a circle with a diameter of 5.3 inches?

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Question 22
22.
What is the location of the center of this hyperbola?

(x - 3)^2/9 - (y - 4)^2/25 = 1

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Question 23
23.
What is the center of this hyperbola?

(y - 1)^2/9 - (x - 3)^2/16 = 1

#### Question 24 24. Which equation gives an upright hyperbola?

#### Question 25 25. What is the x radius of this ellipse?

### Page 6

#### Question 26 26. What is the focus of the parabola (y - 5)2 = 12(x - 2)?

####
Question 27
27.
Which letter stands for the radius in the x direction?

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

#### Question 28 28. What is the value of p if the vertex is located (1, 2) and the focus is located at (-1, 2)?

#### Question 29 29. Which of the following shows a hyperbola that opens up and down?

#### Question 30 30. Which is the ellipse?

#### ACT Math - Conic Sections: Help and Review 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!