Unit Test — Unit test Answers

1

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Which graph is represented by the equation (x + 3)2 + (y – 4)2 = 9?

A

On a coordinate plane, a circle has center (negative 3, 4) and radius 3.

B

On a coordinate plane, a circle has center (3, negative 4) and radius 9.

C

On a coordinate plane, a circle has center (3, negative 4) and radius 3.

D

On a coordinate plane, a circle has center (negative 3, 4) and radius 9.

2

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A plane intersecting a double-napped cone is parallel to the generator. Which conic section is formed?

A

circle

B

ellipse

C

hyperbola

D

parabola

3

Which equation represents a hyperbola?

A

4x2 + 3x + 4y2+ 5 = 0

B

2x2 – 5xy + 4y2 + 10x – y + 12 = 0

C

3x2 – 6xy + 3y2 + 5x – 2y + 1 = 0

D

3x2 + xy – 9y2 + 2x + 5 = 0

4

Which equation represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0)?

A

= 1

B

= 1

C

= 1

D

= 1

5

Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) + 9. How can the rectangular equation be described?

A

circle

B

ellipse

C

parabola

D

hyperbola

6

Which rectangular equation represents the parametric equations x = 3 and y = 6t?

A

y = 2x2, for x ≥ 0

B

y = x2, for x ≥ 0

C

y = 54x2, for x ≥ 0

D

y = x2, for x ≥ 0

7

Which graph represents the hyperbola = 1?

A

Option

B

Option

C

Option

D

Option

8

Question text not available

A

x = −4.25 and x = 8.25

B

x = −3.25 and x = 9.25 ✓ Correct

C

y = −4.25 and y = 8.25

D

y = −3.25 and y = 9.25

9

What are the foci of the hyperbola whose equation is = 1?

A

(−6, 2) and (14, 2)

B

(−4, 2) and (12, 2)

C

(4,−8) and (4, 12)

D

(4,−6) and (4, 10)

10

Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

A

(2, –3.5)

B

(2, 5.5)

C

(–7.5, –5)

D

(1.5, –5)

11

An ellipse has vertices along the major axis at (0, 1) and (0, −9). The foci of the ellipse are located at (0, −1) and (0, −7). The equation of the ellipse is in the form below.

A

a = 10

B

b = 4

C

h = 3

D

k = 0

12

A farm irrigation system waters a large field. Consider the center of the field as the origin and the rest of the field as a grid measured in yards. The first irrigation unit is located at the point (–400, –200) and waters 500 yards in every direction. The second is located at (200, 300) and waters 400 yards in every direction. The system of inequalities represents this scenario.

A

(100, 100)

B

(–100, 100)

C

(100, –100)

D

(–100, –100)

13

Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?

A

(–8, –1)

B

(–3, 1)

C

(1, –9)

D

(0, –6)

14

A pair of listening posts picks up a sound, with one listening post recording the sound after the other. The equation represents possible locations of the sound source with units in feet. How far apart are the listening posts?

A

1,375 ft

B

2,750 ft

C

3,000 ft

D

6,000 ft

15

Question text not available

A

(1,−2)

B

(1, 1)

C

(1, 3)

D

(1, 6)

16

The equation (x + 11)2 + (y – 27)2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance maps to (0, 0). If the positive x-axis represents east and the positive y-axis represents north, what is the location of the fountain relative to the park entrance?

A

11 yards east and 27 yards north

B

11 yards west and 27 yards north

C

11 yards east and 27 yards south

D

11 yards west and 27 yards south

17

Given –9x2 + 4y2 – 18x + 16y – 29 ≤ 0, which graph represents the inequality?

A

On a coordinate plane, one part of a conic graph goes through (negative 6, 7), has a vertex at (negative 2, 5), and goes through (4, 10). The second part goes through (negative 6, negative 6), has a vertex at (negative 1, negative 1), and goes through (4, negative 6). Everything inside of the conic graph is shaded.

B

On a coordinate plane, one part of a conic graph goes through (negative 5, 4), has a vertex at (negative 1, 1), and goes through (2, 3). The other part goes through (negative 3, negative 6), has a vertex at (negative 1, negative 5), and goes through (4, negative 10). Everything inside of the graph is shaded.

C

On a coordinate plane, one part of a conic graph goes through (negative 5, 4), has a vertex at (negative 1, 1), and goes through (2, 3). The other part goes through (negative 3, negative 6), has a vertex at (negative 1, negative 5), and goes through (4, negative 10). Everything outside of the graph is shaded.

D

On a coordinate plane, one part of a conic graph goes through (negative 6, 7), has a vertex at (negative 2, 5), and goes through (4, 10). The second part goes through (negative 6, negative 6), has a vertex at (negative 1, negative 1), and goes through (4, negative 6). Everything outside of the conic graph is shaded.

18

Convert –2y2 + x – 4y + 6 = 0 into standard form.

A

x = 2(y + 1)2 – 6

B

x = 2(y + 1)2 – 8

C

x = 2(y + 1)2 – 7

D

x = 2(y + 1)2 + 8

19

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. How long is the dart in the air? Round to the nearest tenth.

A

0.7 seconds

B

0.8 seconds

C

1.5 seconds

D

1.6 seconds

20

Question text not available

A

points G and H ✓ Correct

B

points J and K

C

points L and N

D

points M and N

Unit Test — Unit test Answers

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