Graphs Multiple Choice Test C

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Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test A

Choose the best answer.

Use the coordinate plane for 1 –2.

4. What are the coordinates of the point that is two units left and six units up from the origin?

A (

2, 6)

B (2, 6)

C (

2,

6)

D (2,

6)

5. Which statement best tells the story of the graph?

1. Which quadrant contains point C ?

A I C III

B II D IV

2. What are the coordinates of point B ?

A

 

1, 2

C

1, 2

B

1, 2

D

3. What are the coordinates of the point that is 2 units left and 5 units up from the origin?

A C

2, 5

B

 

2, 5

D

2, 5

A A car slowed down to a stop.

B A car maintained constant speed.

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test A, continued

6. Ellen draws a line through the points

(2, 5) and (0, 9). What is the slope of this line?

A

1

2

B

2

7. Cassie draws a line through the points (1, 2) and (4, 3). What is the slope of this line?

A

1

3

B 3

8. What is the slope of the line graphed below?

A

1

2

B 2

C

1

2

D

–2

A yes

9. What is the direct variation equation for the data in the table?

Price (¢)

15 30 45 60

Pound 5 10 15 20

A y

3 x C y

 

1

3 x

B y

 

3 x D y

1 x

3

10. What is the constant of variation for the set of data in the table?

Hours 3 6 9 12

Miles 45 90 135 180

A k

1

15

C k

 

15

B k

15 D k

 

1

15

11. Is this relationship a direct variation? x 3 2 1 y 8 6 4

B no

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test B

Choose the best answer.

Use the graph for 1

3.

4. What are the coordinates of the point that is 5 units right and 4 units down from the origin?

F

 

G

 

5, 4

H

J

5, 4

5, 4

5. Which statement best tells the story of the graph?

1. Identify the quadrant of point C .

A Quadrant I C Quadrant III

B Quadrant II D Quadrant IV

2. Give the coordinates of point B .

F (

3,

4) H (

3, 4)

G (3, 4) J (3,

4)

3. What are the coordinates of point D?

A

 

1, 0

C

0, 1

B D

A A car slowed down to a stop.

B A car accelerated.

C A car maintained constant speed.

D A car stopped and then started.

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test B, continued

6. What is the slope of a line that passes through points (3, 5) and

(2, 8)?

F

3 H

1

3

G

1

3

J 3

7. What is the slope of a line that passes through points (

2, 1) and

(2, 4)?

A undefined C

3

4

B

5

4

D 0

8. What is the slope of the line graphed below?

F

1

3

G 3

H

1

3

J –3

9. What is the direct variation equation for the data in the table?

Miles

Second

6

4

12

8

18

12

24

16

A y

 

3

2 x C y

 

2

3 x

B y

3

2 x D y

2

3 x

10. What is the constant of variation for the set of data in the table?

Hours 3 6 9 12

Miles 15 30 45 60

F k

1

5

H k

 

5

G k

5 J k

 

1

5

11. Which equation is NOT a direct variation?

A y

50 x C

2 y

 x

B 5 x

2 y

10 D

3 x

2 y

0

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test C

Choose the best answer.

Use the coordinate plane for 1 –2.

4. What are the coordinates of the point that is five units left and three units down from the origin?

F (5, 3)

G (

5, 3)

H (

5,

3)

J (5,

5)

5. Which statement best tells the story of the graph?

1. Which quadrant contains point B ?

A I B II C III D IV

2. What are the coordinates of point A ?

F

G

H

J

 

3. What are the coordinates of the point that is 3 units left and 6 units down from the origin?

A

B

 

 

3, 6

C

D

3, 6

3, 6

A An employee earned $50 during his 5 th hour working.

B An employee earned a higher rate per hour later in the day.

C An employee earned a lower rate per hour earlier in the day.

D An employee earned $10 per hour, except during a lunch break.

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Multiple Choice Test C, continued

6. Adam draws a line through the points

(4,

1) and (6,

7). What is the slope of this line?

F

3 H

1

3

G

1

3

J 3

7. Matt draws a line through the points

(

7, 3) and (

5,

1). What is the slope of this line?

A

2

B

1

C

1

3

D 4

8. What is the slope of the line graphed below?

F

1

4

G 4

H

1

4

J –4

9. What is the direct variation equation for the data in the table?

Price (¢)

12 18 24 30

Pound 4 6 8 10

A y

 

3

1 x

B y

3

1 x

C

D y y

 

1 x

3

1 x

3

10. What is the constant of variation for the set of data in the table?

Hours

Miles

2 4 6

14 28 42

8

56

F k

1

7

H k

 

7

G k

7 J k

 

1

7

11. If y

 

2 when x

5 in a direct variation equation, find y when x

15.

A

37.5

B

6

C 6

D 37.5

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test A

Use the graph for 1

3.

5. Write a statement that best tells the story of the graph.

1. Which quadrant contains point C ?

_______________________________________

2. What are the coordinates of the point that is three units right and four units up from the origin?

_______________________________________

3. What are the coordinates of point D ?

_______________________________________

4. What are the coordinates of the point that is 2 units left and 5 units up from the origin?

_______________________________________

________________________________________

________________________________________

________________________________________

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test A, continued

6. Lewis draws a line through the points

(1, 4) and (2, 6). What is the slope of this line?

10. What is the constant of variation for the set of data in the table?

Hours 3 6 9 12

Miles 45 90 135 180

_______________________________________

7. Jared draws a line through the points

(3, 5) and (1, 3). What is the slope of this line?

_______________________________________

8. What is the slope of the line graphed below?

________________________________________

11. Tell whether this relationship is a direct variation. Explain. x 6

1

2 y

18 3 6

________________________________________

_______________________________________

9. What is the direct variation equation for the data in the table?

Price (¢) 15 30 45 60

Pound 3 6 9 12

_______________________________________

________________________________________

________________________________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test B

Use the graph for 1

3.

4. What are the coordinates of the point that is 5 units right and 4 units down from the origin?

________________________________________

5. Write a statement that best tells the story of the graph.

1. Which quadrant contains point C ?

_______________________________________

2. What are the coordinates of the point that is five units to the right and one unit down from the origin?

_______________________________________

3. What are the coordinates of point D ?

_______________________________________

________________________________________

________________________________________

________________________________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test B, continued

6. Henry draws a line through the points

(2, 6) and (3, 2). What is the slope of this line?

9. What is the direct variation equation for the data in the table?

Miles 6 12 18 24

Second 4 8 12 16

_______________________________________

7. Jamal draws a line through the points

(

3, 4) and (2, 5). What is the slope of this line?

_______________________________________

8. What is the slope of the line graphed below?

________________________________________

10. What is the constant of variation for the set of data in the table?

Hours Hours 3 6 9

Miles Miles 1 2 3

11. Tell whether the equation 3 x

6 y

0 is a direct variation. Explain. If the equation is a direct variation, identify the constant of variation.

________________________________________

________________________________________

________________________________________

________________________________________

_______________________________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test C

Use the graph for 1

3.

5. Write a statement that best tells the story of the graph.

1. Which quadrant contains point C ?

_______________________________________

2. What are the coordinates of the point that is seven units left and five units down from the origin?

_______________________________________

3. What are the coordinates of point B ?

_______________________________________

4. What are the coordinates of the point that is 3 units left and 6 units down from the origin?

_______________________________________

________________________________________

________________________________________

________________________________________

________________________________________

________________________________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Free Response Test C, continued

6.Rich draws a line through the points

(

3, 4) and (3,

2). What is the slope of this line?

9. What is the direct variation equation for the data in the table?

Price (¢) 24 36 48 60

Pound 8 12 16 20

_______________________________________

7. Raymond draws a line through the points (4,

1) and (

7,

1). What is the slope of this line?

_______________________________________

8. What is the slope of the line graphed below?

_______________________________________

10. What is the constant of variation for the set of data in the table?

Hours 5 10 15 20

Miles 12.5 25 37.5 50

_______________________________________

11. The value of y varies directly with x , and y

5.4 when x

9. Find y when x

 

10.

_______________________________________

_______________________________________

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Holt McDougal Geometry

Name _______________________________________ Date __________________ Class __________________

Graphs

Answers

Section A Quiz

1. D

2. J

3. B

4. H

5. D

Section B Quiz

1. B

2. G

3. A

4. J

5. D

4. H

5. C

6. F

7. C

8. G

9. D

10. G

11. B

Multiple Choice Test C

1. D

2. J

3. D

Multiple Choice Test A

1. B

2. B

3. B

4. A

5. A

6. B

7. A

8. B

9. D

10. B

11. B

4. H

5. D

6. F

7. A

8. F

9. D

10. G

11. B

Free Response Test A

1. quadrant II

2. (3, 4)

3. (−3, 0)

Multiple Choice Test B

1. B

2. J

4. (−2, 5)

5. Possible answer: The train slows down steadily to a stop.

6. 2

3. A

7. 1

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Holt McDougal Geometry

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8. 1 8.

2

9. y = 1/5x

10. k = 15

11. yes; y = −3x; the y-intercept is 0.

9. y = 1/3x

10. k = 2.5

11.

6

Free Response Test B

1. quadrant II

2. (5,

1)

3. (

6, 0)

4. (5, −4)

5. Possible answer: The skater slows down steadily to a stop.

6.

4

7.

1

5

8. 4

2

9. y =

3 x

Performance Assessment

1. Possible answer:

1

10. k =

3

11. yes; the equation 3x

6y

0 can be written as y

1

2

k, is

1

2

.

x, where the constant of variation,

Free Response Test C

1. quadrant II

2. (

7,

5)

3. (4,

9)

4. (−3,−6)

5. Possible answer: A worker earns $7.50 per hour for the first 6 hours of work, then volunteers for the next 8 hours (earning

$0/hour).

6.

1

7. 0

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Holt McDougal Geometry

7. A

8. G

9. B

10. F

11. C

12. H

13. D

14. G

15. A

16. H

Cumulative Test

1. B

2. F

3. C

4. H

5. D

6. G

Name _______________________________________ Date __________________ Class __________________

2. Variable rate of change because the graph curves and is not a line.

17. B

18. F

3. Possible answer:

19. B

20. F

21. C

22. H

23. A

24.F

4. Yes

5. k = 12 and $12 represents the hourly earnings

6. y = 12x

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Holt McDougal Geometry

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