Holt Algebra 1_chapter 5 Test 354e5p
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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 es 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.
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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 es 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 . Each time she goes to the ATM, she withdraws $20. The amount of money left in her bank 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 . B After 15 withdrawals, Carla has $0 in her . C After 20 withdrawals, Carla has $0 in her . D After 20 withdrawals, Carla has $15 left in her .
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 es 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.
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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
$ISTANCEMI
X
4IMEH
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. All rights reserved.
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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 es 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
"OTTLESOF7ATER
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.
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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 es 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. All rights reserved.
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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 es 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.
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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. All rights reserved.
a107_Assess_Answer.indd 266
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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. $ISTANCEMI
X
4IMEH
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
"OTTLESOF7ATER
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 $1.00.
A rotation about 0, ⫺1 , steeper. Chapter Test Form C 1. No; a constant change of ⫹1 in x corresponds to different changes in y.
4. 1980 to 1990; 0.19 years per year 3 5. ⫺__ 2 3 6. ⫺__ 2 7. Yes; it can be written in the form y ⫽ kx 1x. k ⫽ __ 1 as y ⫽ __ 2 2 1x ⫺ 10 8. y ⫽ __ 5 Y 9.
2.
#OST
4IMEMO
domain: {1, 2, 3, 4, 5, ...}; range: {1600, 2200, 2800, 3400, ...}
3. x-intercept: 80; after 80 servings there is no yogurt left. y-intercept: 640; there are 640 fl oz of yogurt when there are no servings.
X
4. month 11 to 12; 0.1 percent per month
5. 0
Copyright © by Holt, Rinehart and Winston. All rights reserved.
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Holt Algebra 1
1/16/06 11:42:23 AM
Answer Key
continued
6. 7
Performance Assessment
7. 6
1.
8. y 3x 16 1 9. y __x 3 3
(IGHWAYMIGAL
Y
X
%NGINE3IZE,
YX
2. 45 3. 5; Pick two grid points that the line es through and use the slope formula.
10. y 6 1 x 2 or y 1 1 x 3
4. y 5x 45
11. III and IV
5. 30 mi/gal
12. y 5x 21
6. The point 1, 66 because it does not follow the linear trend of the other points.
13. A rotation about 0, 4 less steep , and a translation 8 units down.
7.
2EGISTRATIONSTHOUSANDS
Y
X
9EAR
this line captures 3 of the 4 points
8. y 6.5 12.3 x 2000 9. 92.6 thousand
Copyright © by Holt, Rinehart and Winston. All rights reserved.
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Holt Algebra 1
6/2/06 2:10:52 PM
5
Date
Class
Chapter Test Form A
Select the best answer.
4. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?
1. Which graph represents a linear function? Y A
Year
2000 2002 2003 2005 2007
Price ($)
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 es 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.
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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 es 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 . Each time she goes to the ATM, she withdraws $20. The amount of money left in her bank 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 . B After 15 withdrawals, Carla has $0 in her . C After 20 withdrawals, Carla has $0 in her . D After 20 withdrawals, Carla has $15 left in her .
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 es 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
$ISTANCEMI
X
4IMEH
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. All rights reserved.
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93
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 es 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
"OTTLESOF7ATER
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
95
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 es 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.
a107c05_Assess.indd 96
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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. All rights reserved.
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 es 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. All rights reserved.
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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. $ISTANCEMI
X
4IMEH
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
"OTTLESOF7ATER
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
4IMEMO
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. All rights reserved.
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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
(IGHWAYMIGAL
Y
X
%NGINE3IZE,
YX
2. 45 3. 5; Pick two grid points that the line es 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.
2EGISTRATIONSTHOUSANDS
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. All rights reserved.
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Holt Algebra 1
6/2/06 2:10:52 PM
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