Name
CHAPTER
5
Date
Class
Chapter Test
Form A
Select the best answer.
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?
1. Which graph represents a linear
function?
Y
A
Year
2000 2002 2003 2005 2007
Price ($)
X
58
54
A 2000 to 2002
B 2002 to 2003
50
44
C 2003 to 2005
D 2005 to 2007
5. The slope of this line is
43
.
Y
B
Y
X
X
A positive
B negative
2. A car travels at 60 mi/h. The function
f x 60x gives the distance the car
travels in x hours. What is the range of
this function?
A y0
B { 0, 1, 2, 3, ... }
C { 0, 60, 120, 180, ... }
D all real numbers
C zero
D undefined
6. Find the slope of the line that contains
the points 6, 8 and 2, 1 .
9
7
A __
B __
4
8
7. Is this relationship a direct variation?
3. Find the x-intercept of the equation
x 5y 20.
A 1
B 4
C 5
D 20
a107c05_Assess.indd 87
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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
87
Holt Algebra 1
1/3/06 6:10:08 PM
Process Black
Name
Date
CHAPTER
Chapter Test
5
Form A continued
9. Which graph shows how to graph a line
with a slope of 3 and y-intercept of 2?
A
10. Which equation describes the line with a
3 that contains the point
slope of __
4
1, 2 ?
3
A y 2 __ x 1 4
3
__
B y 2 x 1 4
1 x 5?
11. Which line is parallel to y __
2
1x 3
A y 2x
C y __
2
1
__
D y 2x 5
B y x1
2
12. Which equation describes a line
that passes through 0, 3 and is
perpendicular to the line described
by y 5x 4?
1
A y 5x 3
C y __x 3
5
1x 3
D y 5x 3
B y __
5
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 ?
Y
X
B
Y
X
Class
Y
Y
C
X
X
D
Y
A a translation down 5 units
B a translation up 5 units
X
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c05_Assess.indd 88
88
Holt Algebra 1
1/3/06 6:10:12 PM
Process Black
Name
CHAPTER
5
Date
Chapter Test
Form B
Select the best answer.
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?
1. Which set of ordered pairs satisfies a
linear function?
A x
1
1
1
1
B
C
D
Class
y
2
4
6
8
Year
1979
1980
1981
1990
1991
x
1
2
3
4
Wage
($)
2.90
3.10
3.35
3.80
4.25
y
2
4
8
16
x
1
1
3
5
y
8
6
4
2
x
3
2
1
0
y
2
2
4
4
F 1979 to 1980
G 1980 to 1981
5. Find the slope of this line.
Y
2. A vacation home in Orlando, Florida,
rents for $105 per day. The function
f x 105x gives the cost of renting the
home for x days. What is the domain of
this function?
F x0
G { 0, 1, 2, 3, ... }
H { 0, 105, 210, 315, ... }
J all real numbers
a107c05_Assess.indd 89
X
5
2
C __
A __
2
5
2
5
__
__
D
B 5
2
6. Find the slope of the line that contains
the points 1, 1 and 2, 8 .
7
F 5
H __
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
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.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
H 1981 to 1990
J 1990 to 1991
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
89
Holt Algebra 1
1/3/06 6:10:17 PM
Process Black
Name
Date
Class
Chapter Test
CHAPTER
5
Form B
continued
9. Which graph shows the use of slopeintercept form to graph the equation
1x 3?
y __
4
A
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
Y
11. Here are four linear equations.
I 4x 3y 15
II 3x 4y 8
3x 5
4 x 6 IV y __
III y 1 __
3
4
Which pair of lines are parallel?
A I and II
C II and IV
X
B I and III
B
12. Which equation describes a line
that passes through 6, 8 and is
perpendicular to the line described
by y 2x 4?
1
F y 2x 4
H y __x 11
2
1
__
J y 2x 20
G y x5
2
Y
X
13. Graph f x 3x 4 and gx 3x 4.
Which describes the transformation(s)
from the graph of f x to the graph of
g x ?
C
D III and IV
Y
Y
X
X
D
Y
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
X
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Holt Algebra 1
1/3/06 6:10:18 PM
Process Black
Name
CHAPTER
5
Date
Class
Chapter Test
Form C
Select the best answer.
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?
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 }
Year
Number
32.37 33.59 36.43 31.05 32.91
(millions)
F 1986 to 1990
G 1990 to 1995
Y
X
A 3
B 0
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.
a107c05_Assess.indd 91
H 1995 to 2000
J 2000 to 2001
5. Find the slope of this line.
2. A health insurance plan has a $50
enrollment fee and a copayment of $5
for each doctor visit. The function
f 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, ... }
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
1986 1990 1995 2000 2001
C 2
D undefined
6. Find the value of x so that the points
2, 5 and 8, x lie on a line with
1.
slope __
5
F 45
H 3
19
J ___
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
G 3
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
91
Holt Algebra 1
1/3/06 6:10:23 PM
Process Black
Name
Date
Class
Chapter Test
CHAPTER
5
Form C
continued
9. Which graph shows the use of slopeintercept form to graph the equation
2x 3y 6?
Y
A
10. Which equation describes the line
through the points 4, 3 and 5, 0 ?
1 x 0 F y 5 __
3
G y 4 3 x 3 1
H y 0 __ x 5 3
J y 3 3 x 4 X
11. Here are four linear equations.
I 3x 2y 10
II 9x 6y 8
3
__
III y 1 x 6 IV 5y 7.5x
2
Which line is NOT parallel to the rest?
A I
C III
B II
D IV
Y
B
12. Which equation describes a line
that passes through 6, 8 and is
perpendicular to the line described
by 4x 2y 6?
1x 5
H y 2x 3
F y __
2
1x 3
G y __
J y 2x 20
2
13. Graph fx 3x 2 and gx 3x 2.
Which describes the transformation(s)
from the graph of f x to the graph of
g x ?
X
Y
C
Y
X
X
D
Y
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
X
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c05_Assess.indd 92
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Holt Algebra 1
1/3/06 6:10:25 PM
Process Black
Name
CHAPTER
5
Date
Class
Chapter Test
Form A
1. Does this graph represent a linear
function? Explain.
3. Find the x- and y-intercepts of
3x y 6.
Y
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?
X
Hour
(PM)
Number
of
People
2. A jogger runs 4 mi/h. The function
f x 4x gives the distance the
jogger travels in x hours.
1
2
4
7
8
12
20
34
40
45
5. Tell whether the slope of this line is
positive, negative, zero, or undefined.
Graph this function.
Y
$ISTANCE MI
X
4IME H
Give its domain and range.
domain:
range:
6. Find the slope of the line that contains
the points 4, 5 and 7, 11 .
Copyright © by Holt, Rinehart and Winston.
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Holt Algebra 1
1/3/06 6:10:29 PM
Process Black
Name
Date
CHAPTER
Chapter Test
5
Form A continued
7. Tell whether this relationship is a direct
variation. Explain.
x
6
1
2
y
18
3
6
Class
11. Identify which lines are parallel.
I y2
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
1x 4.
described by y __
8
8. Write an equation in slope-intercept
form that describes the line with a slope
of 4 and y-intercept of 1.
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 .
1 and
9. Graph the line with a slope of __
2
y-intercept of 4.
Y
Y
X
X
10. Write an equation in point-slope form
that describes the line with a slope of
3 that contains the point 1, 2 .
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Holt Algebra 1
1/3/06 6:10:30 PM
Process Black
Name
Date
Class
Chapter Test
CHAPTER
5
Form B
1. Do these ordered pairs satisfy a linear
function? Explain.
x
1
1
1
1
y
⫺5
0
5
10
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?
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.
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
Graph this function.
5. Find the slope of this line.
Y
#OST "OTTLES OF 7ATER
X
Give its domain and range.
domain:
range:
{ 0, 1, 2, 3, 4, 5, ... }
{ 0, 1.2, 2.4, 3.6, 4.8, 6.0, ... }
3
⫺__
2
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?
6. Find the slope of the line that contains
the points ⫺6, 4 and 2, ⫺8 .
3
⫺__
2
50; 50 cans and
no bottles earns $1.00.
20; no cans and
y-intercept:
20 bottles earns $1.00.
x-intercept:
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c05_Assess.indd 95
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Holt Algebra 1
1/4/06 6:21:20 PM
Process Black
Name
CHAPTER
5
Date
Class
Chapter Test
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.
11. Identify which lines are parallel.
1x ⫺ 3
I y ⫽ 4x
II y ⫽ ⫺__
4
III 12x ⫺ 3y ⫽ 6
IV 4 y ⫹ 6 ⫽ x ⫺ 3
I and III
Yes; it can be written
in the form y kx as
y _1x.
12. Write an equation in slope-intercept form
for the line that passes through
⫺3, 2 and is perpendicular to the line
3
described by y ⫽ __x ⫹ 4.
2
2
k _1
2
2x
y __
3
8. Write an equation in slope-intercept form
1
that describes the line with a slope of __
5
and y-intercept of ⫺10.
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 .
1x 10
y __
5
y
9. Graph the line described by
5 x ⫺ 4.
y ⫽ __
2
8
6
y
4
6
5
2
4
3
⫺8
2
1
⫺6 ⫺5 ⫺4 ⫺3 ⫺2 ⫺1 0
⫺1
2
3
4
5
⫺4
⫺2
0
x
2
4
6
8
⫺2
x
1
⫺6
6
⫺4
⫺2
⫺3
⫺6
⫺4
⫺8
⫺5
⫺6
A rotation about
0, 1 , steeper.
10. Write an equation in point-slope form
that describes the line with a slope of
3 that contains the point ⫺2, 6 .
__
5
3 x 2 y 6 __
5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Holt Algebra 1
6/15/06 11:21:35 AM
Process Black
Name
CHAPTER
5
Date
Class
Chapter Test
Form C
1. Do these ordered pairs satisfy a linear
function? Explain.
{ 0, 1 , 1, 2 , 2, 4 , 3, 8 , 4, 16 }
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
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.
Interest (%)
0
6
9
11
12
5.46 5.14 5.30 5.27 5.37
5. Find the slope of this line.
Graph this function.
Y
X
Give its domain and range.
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?
6. Find the value of y so that the points
5, 10 and 3, y lie on a line with
3.
slope __
8
x-intercept:
y-intercept:
Copyright © by Holt, Rinehart and Winston.
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a107c05_Assess.indd 97
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Holt Algebra 1
1/3/06 6:10:34 PM
Process Black
Name
CHAPTER
5
Date
Class
Chapter Test
Form C
continued
7. The value of y varies directly with x, and
y 5.4 when x 9. Find y when
x 10.
11. Identify which lines are parallel.
I 3y 2x
2x 7
II y __
3
3 x 8 III y 7 __
2
IV 3x 2y 7
8. Write an equation in slope-intercept form
that describes the line with a slope of 3
and containing the point 5, 1 .
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.
9. Write the equation x 3y 9 in slopeintercept form. Then graph the line
described by the equation.
13. Graph f x 2x 4 and
1 x 4. Then describe the
g x __
2
transformations from the graph of f x to
the graph of g x .
Y
Y
X
X
10. Write an equation in point-slope form
that describes the line through the
points 2, 6 and 3, 1 .
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c05_Assess.indd 98
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Holt Algebra 1
1/3/06 6:10:36 PM
Process Black
Answer Key
continued
20. F
2. H
21. D
3. B
22. H
4. G
23. A
5. B
24. G
6. H
25. C
7. D
26. G
8. F
27. C
9. C
28. J
10. G
29. B
11. D
30. F
12. F
31. B
Chapter Test Form A
32. G
1. B
33. D
2. A
34. F
3. D
35. C
4. B
36. H
5. B
37. B
6. A
38. J
7. B
CHAPTER 5
8. A
Section Quiz: Lessons 5-1 to 5-5
9. A
1. B
2. F
3. B
4. H
5. D
10. B
11. C
12. C
13. A
Chapter Test Form B
6. F
1. C
7. C
2. G
8. G
3. A
9. D
4. J
5. D
Section Quiz: Lessons 5-6 to 5-8
6. G
1. A
Copyright © by Holt, Rinehart and Winston.
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Holt Algebra 1
6/2/06 2:10:52 PM
Answer Key
continued
7. B
3. 2; 6
8. H
4. 1 PM to 2 PM; 8 people per hour
9. D
5. positive
10. H
6. 2
11. C
y
7. Yes; __
x is the same 3 for each
ordered pair.
12. G
8. y 4x 1
13. A
9.
Chapter Test Form C
Y
1. C
2. J
3. B
4. J
5. D
6. H
X
7. B
8. J
9. C
10. J
11. C
10. y 2 3 x 1 12. F
11. III and IV
13. B
12. y 8x 1
Chapter Test Form A
13.
Y
1. Yes; each domain value is paired with
exactly one range value and the graph
forms a line.
2.
$ISTANCE MI
X
4IME H
domain: x 0; range: y 0
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107_Assess_Answer.indd 267
A reflection across the y- or x-axis.
267
Holt Algebra 1
1/4/06 12:18:11 PM
Answer Key
continued
3 x ⫹ 2 10. y ⫺ 6 ⫽ __
5
11. I and III
2
12. y ⫽ ⫺__x
3
Y
13.
Chapter Test Form B
1. No; 1 domain value is paired with 4
range values.
2.
#OST "OTTLES OF 7ATER
X
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.
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.
4. 1980 to 1990; 0.19 years per year
3
5. ⫺__
2
3
6. ⫺__
2
7. Yes; it can be written in the form y ⫽ kx
1x. k ⫽ __
1
as y ⫽ __
2
2
1x ⫺ 10
8. y ⫽ __
5
Y
9.
2.
#OST 4IME MO
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.
X
4. month 11 to 12; 0.1 percent per month
5. 0
Copyright © by Holt, Rinehart and Winston.
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a107_Assess_Answer.indd 268
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Holt Algebra 1
1/16/06 11:42:23 AM
Answer Key
continued
6. 7
Performance Assessment
7. 6
1.
8. y 3x 16
1
9. y __x 3
3
(IGHWAY MIGAL
Y
X
%NGINE 3IZE ,
YX
2. 45
3. 5; Pick two grid points that the line
passes through and use the slope
formula.
10. y 6 1 x 2 or y 1 1 x 3 4. y 5x 45
11. III and IV
5. 30 mi/gal
12. y 5x 21
6. The point 1, 66 because it does not
follow the linear trend of the other points.
13. A rotation about 0, 4 less steep , and
a translation 8 units down.
7.
2EGISTRATIONS THOUSANDS
Y
X
9EAR
this line captures 3 of the 4 points
8. y 6.5 12.3 x 2000 9. 92.6 thousand
Copyright © by Holt, Rinehart and Winston.
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a107_Assess_Answer.indd 269
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Holt Algebra 1
6/2/06 2:10:52 PM