chapter chapter test form a - aianjack.com · 5 chapter chapter test form b select the best answer....

Copyright © by Holt, Rinehart and Winston. 87 Holt Algebra 1All rights reserved.

Name Date Class

5CHAPTER

Select the best answer.

1. Which graph represents a linear function?

A

B

2. A car travels at 60 mi/h. The functionf � x � � 60x gives the distance the car travels in x hours. What is the range of this function?

A y � 0

B { 0, 1, 2, 3, ... }

C { 0, 60, 120, 180, ... }

D all real numbers

3. Find the x-intercept of the equationx � 5y � 20.

A 1

B 4

C 5

D 20

4. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?

Year 2000 2002 2003 2005 2007

Price ($) 58 54 50 44 43

A 2000 to 2002 C 2003 to 2005

B 2002 to 2003 D 2005 to 2007

5. The slope of this line is .

A positive C zero

B negative D undefined

6. Find the slope of the line that contains the points � 6, 8 � and � 2, 1 � .A 7 __

4 B 9 __

8

7. Is this relationship a direct variation?

x �3 2 1

y �4 6 4

A yes B no

8. Which equation describes the line with a slope of 2 and y-intercept of 6?

A y � 2x � 6 B y � 6x � 2

Chapter Test Form A

a107c05_Assess.indd 87a107c05_Assess.indd 87 1/3/06 6:10:08 PM1/3/06 6:10:08 PMProcess BlackProcess Black


Name Date Class

5CHAPTER

9. Which graph shows how to graph a line with a slope of 3 and y-intercept of �2?

A

B

C

D

10. Which equation describes the line with a

slope of 3 __ 4 that contains the point

� 1, �2 � ?

A y � 2 � 3 __ 4 � x � 1 �

B y � 2 � 3 __ 4 � x � 1 �

11. Which line is parallel to y � 1 __ 2 x � 5?

A y � �2x C y � 1 __ 2 x � 3

B y � � 1 __ 2 x � 1 D y � 2x � 5

12. Which equation describes a line that passes through � 0, 3 � and is perpendicular to the line describedby y � �5x � 4?

A y � �5x � 3 C y � 1 __

5 x � 3

B y � � 1 __ 5 x � 3 D y � 5x � 3

13. Graph f � x � � 3x and g � x � � 3x � 5. Which describes the transformation from the graph of f � x � to the graph of g � x � ?

A a translation down 5 units

B a translation up 5 units

Chapter Test Form A continued



Name Date Class

5CHAPTER Chapter Test

Form BSelect the best answer.

1. Which set of ordered pairs satisfies a linear function?

A x 1 1 1 1

y 2 4 6 8

B x 1 2 3 4

y 2 4 8 16

C x �1 1 3 5

y 8 6 4 2

D x �3 �2 �1 0

y 2 �2 4 �4

2. A vacation home in Orlando, Florida, rents for $105 per day. The functionf � x � � 105x gives the cost of renting the home for x days. What is the domain of this function?

F x � 0

G { 0, 1, 2, 3, ... }

H { 0, 105, 210, 315, ... }

J all real numbers

3. A parking meter gives 30 minutes for each quarter and 6 minutes for each nickel. The equation 30x � 6y � 60 describes the number of quarters x and nickels y that you need to park for 60 minutes. What does the x-intercept represent?

A You need 2 quarters and no nickels to park for 60 minutes.

B You need 10 nickels and no quarters to park for 60 minutes.

C You need 6 nickels and no quarters to park for 60 minutes.

D You need 30 quarters and no nickels to park for 60 minutes.

4. This table shows the U.S. federal minimum hourly wage in different years. During which time interval did the wage increase at the greatest rate?

Year 1979 1980 1981 1990 1991

Wage ($)

2.90 3.10 3.35 3.80 4.25

F 1979 to 1980 H 1981 to 1990

G 1980 to 1981 J 1990 to 1991

5. Find the slope of this line.

A � 5 __ 2 C 2 __ 5

B � 2 __ 5 D 5 __ 2

6. Find the slope of the line that contains the points � 1, �1 � and � �2, 8 � . F �5 H � 7 __ 3

G �3 J � 1 __ 3

7. Which equation is NOT a direct variation?

A y � 50x C �2y � x

B 5x � 2y � 10 D �3x � 2y � 0

8. Which equation describes the line with a slope of 5 and y-intercept of �3?

F y � �3x � 5 H y � 5x � 3

G y � 3x � 5 J y � 5x � 3



Name Date Class

5CHAPTER

9. Which graph shows the use of slope-intercept form to graph the equation

y � � 1 __ 4 x � 3?

A

B

C

D

10. Which equation describes the line with a slope of 2 that contains the point � 4, �3 � ?F y � 4 � 2 � x � 3 � H y � 3 � 2 � x � 4 �

G 2 � y – 3 � � x � 4 J 2 � y � 4 � � x � 3

11. Here are four linear equations.

I 4x � 3y � 15 II 3x � 4y � �8

III y � 1 � 4 __ 3 � x � 6 � IV y � 3 __

4 x � 5

Which pair of lines are parallel?

A I and II C II and IV

B I and III D III and IV

12. Which equation describes a line that passes through � �6, 8 � and is perpendicular to the line describedby y � 2x � 4?

F y � �2x � 4 H y � 1 __

2 x � 11

G y � � 1 __ 2 x � 5 J y � 2x � 20

13. Graph f � x � � �3x � 4 and g � x � � 3x � 4. Which describes the transformation(s) from the graph of f � x � to the graph of g � x � ?

A a reflection across the y-axis

B a reflection across the y-axis and a translation up 4 units

C a rotation (less steep) about � 0, 4 � D a translation up 6 units

Chapter Test Form B continued



Name Date Class


Form CSelect the best answer.

1. Which set of ordered pairs satisfies a linear function?

A { � �6, 6 � , � �3, 3 � , � 0, 0 � , � 3, 3 � , � 6, 6 � }

B { � �2, 6 � , � �1, 3 � , � 0, 2 � , � 1, 3 � , � 2, 6 � }

C { � �2, 6 � , � �1, 3 � , � 0, 0 � , � 1, �3 � , � 2, �6 � }

D { � 6, �2 � , � 6, �1 � , � 6, 0 � , � 6, 1 � , � 6, 2 � }

2. A health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit. The functionf � b � � 5x � 50 gives the cost of x doctor visits. What is the range of this function?

F x � 50

G { 0, 1, 2, 3, ... }

H { 5, 55, 105, 155, ... }

J { 50, 55, 60, 65, ... }

3. Carla has $300 in her bank account. Each time she goes to the ATM, she withdraws $20. The amount of money left in her bank account after x ATM withdrawals is represented by the function f � x � � 300 � 20x. What does the x-intercept represent?

A After 0 withdrawals, Carla has $300 in her account.

B After 15 withdrawals, Carla has $0 in her account.

C After 20 withdrawals, Carla has $0 in her account.

D After 20 withdrawals, Carla has $15 left in her account.

4. This table shows the number of people in millions who were below the poverty level in the United States. During which time interval did the number of people increase at the greatest rate?

Year 1986 1990 1995 2000 2001

Number (millions)

32.37 33.59 36.43 31.05 32.91

F 1986 to 1990 H 1995 to 2000

G 1990 to 1995 J 2000 to 2001


A �3 C 2

B 0 D undefined

6. Find the value of x so that the points � �2, 5 � and � 8, x � lie on a line withslope � 1 __ 5 .

F �45 H 3

G �3 J 19 ___ 5

7. The value of y varies directly with x, and y � �2 when x � 5. Find y when x � 15.

A �37.5 C 6

B �6 D 37.5

8. Which equation describes the line with a slope of 5 and containing the point � �2, 4 � ?

F y � 5x � 22 H y � 5x � 4

G y � 5x � 2 J y � 5x � 14



Name Date Class


Form C continued

9. Which graph shows the use of slope-intercept form to graph the equation2x � 3y � 6?

A

B

C

D

10. Which equation describes the line through the points � 4, �3 � and � 5, 0 � ?

F y � 5 � � 1 __ 3 � x � 0 �

G y � 4 � �3 � x � 3 �

H y � 0 � 1 __

3 � x � 5 �

J y � 3 � 3 � x � 4 �

11. Here are four linear equations.

I 3x � 2y � 10 II �9x � 6y � �8

III y � 1 � 3 __

2 � x � 6 � IV �5y � 7.5x

Which line is NOT parallel to the rest?

A I C III

B II D IV

12. Which equation describes a line that passes through � 6, �8 � and is perpendicular to the line describedby 4x � 2y � 6?

F y � � 1 __ 2 x � 5 H y � 2x � 3

G y � � 1 __ 2 x � 3 J y � 2x � 20

13. Graph f � x � � �3x � 2 and g � x � � 3x � 2. Which describes the transformation(s) from the graph of f � x � to the graph of g � x � ?

A a reflection across the y-axis

B a reflection across the y-axis and a translation up 4 units

C a rotation (less steep) about � 0, 2 � D a translation up 4 units



Name Date Class

5CHAPTER

1. Does this graph represent a linearfunction? Explain.

2. A jogger runs 4 mi/h. The function f � x � � 4x gives the distance thejogger travels in x hours.

Graph this function.

Give its domain and range.

domain:

range:

3. Find the x- and y-intercepts of3x � y � 6.

x-intercept:

y-intercept:

4. This table shows the number of people at a festival at certain times during the day. During which time interval did the number of people increase at the greatest rate? What was the rate of change for that interval?

Hour (PM)

1 2 4 7 8

Numberof

People12 20 34 40 45

5. Tell whether the slope of this line is positive, negative, zero, or undefined.

6. Find the slope of the line that contains the points � 4, 5 � and � 7, 11 � .

Chapter Test Form A



Name Date Class


Form A continued

7. Tell whether this relationship is a direct variation. Explain.

x 6 �1 �2

y �18 3 6

8. Write an equation in slope-interceptform that describes the line with a slope of 4 and y-intercept of 1.

9. Graph the line with a slope of � 1 __ 2 andy-intercept of 4.

10. Write an equation in point-slope form that describes the line with a slope of �3 that contains the point � 1, 2 � .

11. Identify which lines are parallel.

I y � 2 II y � x � 2

III y � 2x � 1 IV y � 2x � 2

12. Write an equation in slope-intercept form for the line that passes through � 0, �1 � and is perpendicular to the line

described by y � 1 __ 8 x � 4.

13. Graph f � x � � 6x and g � x � � �6x. Then describe the transformation from the graph of f � x � to the graph of g � x � .



Name Date Class


Form B 1. Do these ordered pairs satisfy a linear

function? Explain.

x 1 1 1 1

y �5 0 5 10

No; 1 domain value is

paired with 4 range values.

2. At a convenience store, bottles of water cost $1.20. The function f � x � � 1.2x, gives the cost of buying x bottles.



domain: { 0, 1, 2, 3, 4, 5, ... }

range: { 0, 1.2, 2.4, 3.6, 4.8, 6.0, ... } 3. A recycling center pays 2 cents per

aluminum can and 5 cents per glass bottle. The equation 2x � 5y � 100 describes the number of cans x and bottles y that you need to earn $1.00. What is the value of each intercept, and what does each represent?

x-intercept: 50; 50 cans and

no bottles earns $1.00.

y-intercept: 20; no cans and

20 bottles earns $1.00.

4. This table shows the median age of women who were first married in different years. During which time interval did the age increase at the greatest rate? What was the rate of increase for that interval?

Year 1950 1980 1990 1995 2000

Age(yr)

20.3 22.0 23.9 24.5 25.1

1980 to 1990; 0.19 years per year


� 3 __ 2

6. Find the slope of the line that contains the points � �6, 4 � and � 2, �8 � .

� 3 __ 2



Name Date Class


Form B continued

7. Tell whether the equation 3x � 6y � 0 is a direct variation. Explain. If the equation is a direct variation, identify the constant of variation.

Yes; it can be written

in the form y � kx as

y � 1 _

2 x.

k � 1 _ 2

8. Write an equation in slope-intercept form that describes the line with a slope of 1 __

5

and y-intercept of �10.

y � 1 __ 5 x � 10

9. Graph the line described byy � 5 __

2 x � 4.

x

y

2 31 4 5 6�2 �1�1

�4�5�6 �3

�4

�6

�2

�3

0

2

3

1

4

5

6

�5

10. Write an equation in point-slope form that describes the line with a slope of

3 __ 5 that contains the point � �2, 6 � .

y � 6 � 3 __ 5 � x � 2 �


I y � 4x II y � � 1 __ 4 x � 3

III 12x � 3y � 6 IV 4 � y � 6 � � x � 3

I and III

12. Write an equation in slope-intercept form for the line that passes through � �3, 2 � and is perpendicular to the line

described by y � 3 __

2 x � 4.

y � � 2 __ 3 x

13. Graph f � x � � x � 1 and g � x � � 5x � 1. Then describe the transformation from the graph of f � x � to the graph of g � x � .

x

y

2 4 6 8�2�4�6�8

�4

�6

�8

�2

0

2

4

6

8

A rotation about

� 0, �1 � , steeper.

a107c05_Assess.indd 96a107c05_Assess.indd 96 6/15/06 11:21:35 AM6/15/06 11:21:35 AMProcess BlackProcess Black


Name Date Class


Form C 1. Do these ordered pairs satisfy a linear

function? Explain. { � 0, 1 � , � 1, 2 � , � 2, 4 � , � 3, 8 � , � 4, 16 � }

2. An apartment in Valparaiso, Indiana, rents for $600 per month with a $1000 deposit. The rental is month-to-month, but you must stay at least one month. The function f � x � � 600x � 1000 gives the cost of renting for x months.



domain:

range:

3. A machine makes 640 fl oz of yogurt. Each serving is 8 fl oz. The amount left after x servings is described by the function f � x � � 640 � 8x. What is the value and meaning of each intercept?

x-intercept:

y-intercept:

4. This table shows the percent interest on a new 30-year homeowner’s loan for different months after August 16, 2004. During which time interval did the percent interest increase at the greatest rate. What was the rate of change for that interval?

Months after 8/16/2004

0 6 9 11 12

Interest (%) 5.46 5.14 5.30 5.27 5.37


6. Find the value of y so that the points � �5, 10 � and � 3, y � lie on a line with

slope � 3 __ 8 .



Name Date Class


Form C continued

7. The value of y varies directly with x, and y � 5.4 when x � 9. Find y whenx � �10.

8. Write an equation in slope-intercept form that describes the line with a slope of 3 and containing the point � 5, �1 � .

9. Write the equation x � 3y � 9 in slope-intercept form. Then graph the line described by the equation.

10. Write an equation in point-slope form that describes the line through the points � �2, 6 � and � 3, 1 � .


I 3y � 2x

II y � � 2 __ 3 x � 7

III y � 7 � � 3 __ 2 � x � 8 �

IV 3x � 2y � 7

12. Write an equation in slope-intercept form for the line that passes through � 5, �4 � and is perpendicular to the line described by 2x � 10y � 0.

13. Graph f � x � � �2x � 4 and

g � x � � � 1 __ 2 x � 4. Then describe the

transformations from the graph of f � x � to the graph of g � x � .



Answer Key continued

20. F

21. D

22. H

23. A

24. G

25. C

26. G

27. C

28. J

29. B

30. F

31. B

32. G

33. D

34. F

35. C

36. H

37. B

38. J

CHAPTER 5

Section Quiz: Lessons 5-1 to 5-5

1. B

2. F

3. B

4. H

5. D

6. F

7. C

8. G

9. D

Section Quiz: Lessons 5-6 to 5-8

1. A

2. H

3. B

4. G

5. B

6. H

7. D

8. F

9. C

10. G

11. D

12. F

Chapter Test Form A

1. B

2. A

3. D

4. B

5. B

6. A

7. B

8. A

9. A

10. B

11. C

12. C

13. A

Chapter Test Form B

1. C

2. G

3. A

4. J

5. D

6. G

a107_Assess_Answer.indd 266a107_Assess_Answer.indd 266 6/2/06 2:10:52 PM6/2/06 2:10:52 PM



7. B

8. H

9. D

10. H

11. C

12. G

13. A

Chapter Test Form C

1. C

2. J

3. B

4. J

5. D

6. H

7. B

8. J

9. C

10. J

11. C

12. F

13. B

Chapter Test Form A

1. Yes; each domain value is paired with exactly one range value and the graph forms a line.

2.

domain: x � 0; range: y � 0

3. 2; �6

4. 1 PM to 2 PM; 8 people per hour

5. positive

6. 2

7. Yes; y __ x is the same � �3 � for each

ordered pair.

8. y � 4x � 1

9.

10. y � 2 � �3 � x � 1 �

11. III and IV

12. y � �8x � 1

13.

A reflection across the y- or x-axis.




Chapter Test Form B

1. No; 1 domain value is paired with 4 range values.

2.

domain: { 0, 1, 2, 3, 4, 5, ... } ; range: { 0, 1.2, 2.4, 3.6, 4.8, 6.0, ... }

3. x-intercept: 50; 50 cans and no bottles earns $1.00.

y-intercept: 20; no cans and 20 bottles earns $1.00.

4. 1980 to 1990; 0.19 years per year

5. � 3 __ 2

6. � 3 __ 2

7. Yes; it can be written in the form y � kx as y � 1 __

2 x. k � 1 __

2

8. y � 1 __ 5 x � 10

9.

10. y � 6 � 3 __ 5 � x � 2 �

11. I and III

12. y � � 2 __ 3 x

13.

A rotation about � 0, �1 � , steeper.

Chapter Test Form C

1. No; a constant change of �1 in x corresponds to different changes in y.

2.

domain: {1, 2, 3, 4, 5, ...}; range: {1600, 2200, 2800, 3400, ...}

3. x-intercept: 80; after 80 servings there is no yogurt left.

y-intercept: 640; there are 640 fl oz of yogurt when there are no servings.

4. month 11 to 12; 0.1 percent per month

5. 0

a107_Assess_Answer.indd 268a107_Assess_Answer.indd 268 1/16/06 11:42:23 AM1/16/06 11:42:23 AM



6. 7

7. �6

8. y � 3x � 16

9. y � 1 __ 3 x � 3

10. y � 6 � �1 � x � 2 � or y � 1 � �1 � x � 3 �

11. III and IV

12. y � �5x � 21

13. A rotation about � 0, 4 � � less steep � , and a translation 8 units down.

Performance Assessment

1.

2. 45

3. �5; Pick two grid points that the line passes through and use the slope formula.

4. y � �5x � 45

5. 30 mi/gal

6. The point � 1, 66 � because it does not follow the linear trend of the other points.

7.

this line captures 3 of the 4 points

8. y � 6.5 � 12.3 � x � 2000 �

9. 92.6 thousand


chapter chapter test form a - aianjack.com · 5 chapter chapter test form b select the best answer....

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