Ch8 Exam Prep Conics And Systems Of Nonlinear Equations And

College Algebra, 5e (Young)

Chapter 8 Conics and Systems of Nonlinear Equations and Inequalities

8.1 Conic Basics

1) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

- 2x + + 8y + 4 = 7

Select the choice that best describes the graph of the equation.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

2) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

16 + 4 = 81

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

3) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

- y = 6

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

4) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

81 - 49 = 4

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

5) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

+ 6x + - 10y + 11 = 18

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

6) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

15 - 3x + 4 - 16y + 4 = 17

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

7) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

-1 - 18x - y = 12

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

8) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

18 - 14x- 16 + 14y + 8 = -7

Select the choice that best describes the graph of the equation.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

9) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points exactly four units from the point (-14, -17)

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

10) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points equidistant from the point (8, 2) and the line y = -4.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

11) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose distance from the point (3, 14) plus the distance from the point is exactly 7 units.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

12) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose difference of the distances to the points and is exactly 18 units.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

13) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points exactly 3 units from the point (14, -20).

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

14) Identify the conic section as a parabola, circle, ellipse, or hyperbola:

The set of all points equidistant from the point (-11, -4) and the line

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

15) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose distance from the point (-5, 9) plus the distance from the point is exactly 8 units.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

16) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose difference of the distances to the points (-11, 7) and (4, 7) is exactly 1 units.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

17) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose distance from the point (-2, 15) plus the distance from the point is exactly 16.

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

18) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points equidistant from the point (20, -12) and the line

A) parabola

B) ellipse

C) circle

D) hyperbola

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

19) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

45 - 41 = 30

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

20) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points equidistant from the point (4, -15) and from the line x = -4.

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

21) Identify the conic section as a parabola, ellipse, circle, or hyperbola:

The set of all points whose distance from the point (4, 9) plus the distance from the point is exactly 39 units.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Define conics.

22) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

- 4x + + 6y + 4 = 7

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

23) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

16 + 25 = 81

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

24) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

- y = 6

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

25) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

100 - 4 = 49

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

26) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

+ 4x + - 6y + 20 = 3

Diff: 1 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

27) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

3 - 7x + 17 - 7y + 16 = 7

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

28) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

-4 - 18x - y = 15

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

29) Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

17 - 16x - 4 + 13y + 16 = 8

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 01

Learning Objective: Recognize the algebraic equation associated with each conic.

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