Algebra 1: Chapter Resource Book

advertisement
Name ———————————————————————
Date ————————————
Practice B
LESSON
5.2
For use with pages 298–305
Write an equation of the line that passes through the given point and has
slope m.
1. (21, 6); m 5 5
2. (10, 3); m 5 22
3. (2, 23); m 5 7
4. (24, 29); m 5 2
1
5. (5, 24); m 5 }
3
3
6. (28, 1); m 5 2}
4
Write an equation of the line shown.
7.
8.
y
5
23
21
21
(24, 7)
y
7
3
(22, 2)
3
1
9.
y
(0, 5)
(2, 4)
1
(1, 1)
1
3
25
21
21
1
3
x
1
x
23
23
(24, 24)
21
21
1
3
x
Write an equation of the line that passes through the given points.
10. (210, 7), (5, 23)
11. (25, 23), (12, 17.4)
12. (28, 84), (5, 246)
Write an equation for the linear function f with the given values.
13. f (4) 5 28, f(23) 5 1
14. f (6) 5 24, f(9) 5 29
15. f (21) 5 26, f(4) 5 214
Copyright © Holt McDougal. All rights reserved.
after the shop opens. Two hours after you start, a total of 11 cars have had their oil
changed since the shop opened. Three hours later, a total of 14 cars have had their oil
changed. At what rate are cars getting their oil changed since you started working?
How many cars had their oil changed before you started work?
LESSON 5.2
16. Oil Changes You are scheduled to start your job at an oil change shop 2 hours
17. Motor Vehicle Licenses The amount of revenue brought in by states from motor
vehicle licenses increased at a relatively constant rate of 499.79 million dollars per
year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in
revenue from motor vehicle licenses.
a. What was the approximate revenue (in million dollars) from licenses in 1990?
b. Write an equation that gives the revenue (in million dollars) as a function of the
number of years since 1990.
c. Find the revenue from licenses in 1999.
18. Imports The number of metric tons of fruits, nuts, and vegetables imported into the
United States increased at a relatively constant rate of 437.5 thousand metric tons
per year from 1990 to 2002. In 2002, about 9900.5 thousand metric tons of fruits, nuts,
and vegetables were imported. Write an equation that gives the number of thousand
metric tons imported as a function of the number of years since 1990. Find the year
in which the number of metric tons reached 8000 thousand metric tons.
Algebra 1
Chapter 5 Resource Book
279
Answers
Lesson 5.1
4
14. f (x) 5 0.6x 2 2 15. f (x) 5 } x 2 2
3
Practice Level A
1
16. f (x) 5 x 2 6 17. f (x) 5 } x
4
1. y 5 3x 1 8 2. y 5 11x 1 2
6. y 5 23x 1 4 7. y 5 3x 2 2
1
12. y 5 5x 2 2 13. f(x) 5 } x 1 2
2
number of flyers made, the domain of the first
function is 0 < x < 1000 and the domain of the
second function is x > 1000. d. about 777 flyers;
about 1166 flyers; Order 1166 flyers since you
get more for the same amount of money.
14. f(x) 5 4x 1 3 15. f(x) 5 1x 2 8
Review for Mastery
8. y 5 24x 1 1 9. y 5 5x 1 4
10. y 5 3x 1 5 11. y 5 22x 1 1
16. a. y 5 8x 1 12 b. $52 17. a. y 5 6x 1 20
b. independent: x, number of weeks; dependent: y,
total number of miles run each week c. 68 mi
Practice Level B
1. y 5 7x 1 4 2. y 5 23x 1 5 3. y 5 x 2 6
3
4. y 5 25x 1 5 5. y 5 2x 2 5 6. y 5 } x 1 3
4
3
7. y 5 22x 2 2 8. y 5 } x 1 4
2
3
9. y 5 2} x 1 8 10. y 5 2x 2 7
4
11. y 5 25x 2 3 12. y 5 4x 2 5
1
13. f(x) 5 23x 2 1 14. f(x) 5 2} x 1 3
2
3
15. f(x) 5 } x 1 4
2
16. a. y 5 23x 1 30 b. independent: x, number
Copyright © Holt McDougal. All rights reserved.
18. y 5 2x 1 5; 53 laps 19. a. y 5 0.45x 1 50
b. y 5 0.3x 1 50 c. Because x represents the
of cubic yards ordered; dependent: y, total cost
c. $214 17. a. y 5 16x 1 44 b. independent: x,
number of premium channels; dependent: y, total
cost c. Substitute 80 for y in the equation and
solve for x.
1
18. a. 0.75 min b. y 5 } x 1 0.75 c. about
6
9 min
Practice Level C
3
1
1
1. y 5 28x 2. y 5 } x 2 3 3. y 5 2} x 1 }
5
4
2
2
4. y 5 24x 2 2 5. y 5 } x 1 1
3
6. y 5 21.5x 1 5 7. y 5 2.5x 2 1
4
4
8. y 5 } x 2 4 9. y 5 } x 2 8
7
3
2
10. f(x) 5 2} x 1 6 11. f(x) 5 28x 1 5
3
1
12. f(x) 5 2} x 2 4 13. f(x) 5 22.5x 1 3
3
ANSWERS
3. y 5 24x 1 5 4. y 5 2x 1 3 5. y 5 x 1 4
2
1. y 5 7x 2 11 2. y 5 } x 1 5
3
7
9
1
3. y 5 2} x 2 2 4. y 5 } 2 1 5. y 5 2} x 1 8
5
5
2
6. y 5 x 2 14 7. y 5 22x 1 21
8. y 5 26x 1 6
Challenge Practice
1. 0.26; for every year that passes there is an
increase of 260,000 homes owning dogs in the US.
2. y 5 0.26t 1 27 3. 30.64 million households
4. 43.90 million households
5. y 5 22000t 1 20,000 6. $10,000 7. 2015
Lesson 5.2
Practice Level A
1. y 5 3x 1 8 2. y 5 4x 2 19 3. y 5 2x 1 11
5
1
4. y 5 9x 2 55 5. y 5 } x 1 }
2
2
6. y 5 24x 1 34 7. y 5 3x
1
8. y 5 2x 1 2 9. y 5 } x 2 3
2
5
10. y 5 22x 1 4 11. y 5 } x 1 3
2
12. y 5 3x 2 1 13. y 5 25x 14. y 5 x 1 7
3
15. y 5 2} x 1 1 16. f (x) 5 4x 2 21
4
3
17. f (x) 5 24x 1 2 18. f (x) 5 } x 2 2
2
19. y 5 15x 1 18; $153 20. a. y 5 1.5x
b. 18 dozen c. 216 cookies
Practice Level B
1. y 5 5x 1 11 2. y 5 22x 1 23
3. y 5 7x 2 17 4. y 5 2x 2 1
3
17
1
5. y 5 } x 2 } 6. y 5 2} x 2 5
4
3
3
Algebra 1
Chapter 5 Resource Book
A45
Lesson 5.2, continued
7. y 5 24x 1 5 8. y 5 3x 1 8
1
2
1
9. y 5 2} x 1 5 10. y 5 2} x 1 }
2
3
3
ANSWERS
11. y 5 1.2x 1 3 12. y 5 210x 1 4
5
9
20
13. f(x) 5 2} x 2 } 14. f (x) 5 2} x 1 6
3
7
7
8
38
15. f(x) 5 2} x 2 }
5
5
Review for Mastery
1
1. y 5 4x 2 26 2. y 5 2 } x 1 18
3
1
1
3. y 5 } x 1 5 } 4. y 5 4x 1 17
2
2
1
5. f (x) 5 } x 2 5 6. f (x) 5 2x 1 12
2
Challenge Practice
16. 1 car per hour; 9 cars 17. a. 10,101.1 million
dollars b. y 5 499.79x 1 10,101.1 c. 14,599.21
million dollars 18. y 5 437.5x 1 4650.5;
between 1997 and 1998
Practice Level C
1. y 5 8x 1 38 2. y 5 0.5x 2 5.25
5
3. y 5 2} x 1 4 4. y 5 5x 1 0.5
6
3
4
5. y 5 2} x 1 1 6. y 5 } x 2 2
5
3
62
2
7. f(x) 5 21.6x 1 1 8. f(x) 5 } x 2 }
7
7
9. f(x) 5 0.625x 1 5.75 10. f(x) 5 4x 2 6
11. f(x) 5 2.5x 2 3.1 12. f(x) 5 23.32x 2 3.28
1. 2 2 3a 2. 2 2 ab 3. c 2 ab 4. 2 5. 5
5
2
22
6. 4 7. } 8. 2 9. y 5 2} x 1 } 10. y 5 23
2
3
3
16
11. y 5 2x 1 } 12. y 5 x 2 2
3
Lesson 5.3
Practice Level A
9
7
3
1
1. } 2. } 3. } 4. } 5. 1 6. 0
5
2
9
8
7. y 2 2 5 5(x 2 2) 8. y 2 3 5 21(x 2 7)
9. y 1 4 5 3x 10. y 2 7 5 4(x 1 1)
11. y 1 5 5 6(x 1 8) 12. y 1 9 5 2(x 2 4)
13.
14.
y
y
7
3
13. no; The slope of the line between (3, 7) and
(22, 28) is 3 and the slope of the line between
11
23
(22, 28) and (7, 219) is 2}
. 14. yes; The
9
0 2 4 6 8 10 12 14 16
Years since 1987
c. before 2002
3
3 x
1
1
23
15.
23
16.
y
y
3
6
1
23
2
2
22
22
17.
Algebra 1
Chapter 5 Resource Book
1
21
21
3
x
3
x
x
6
18.
y
y
3
3
1
21
21
1
3
x
23
23
23
19.
21
21
20.
y
y
1
21
21
23
1
3
5
x
1
23
21
21
23
A46
3 x
1
21
1
3
x
Copyright © Holt McDougal. All rights reserved.
Farmland (millions of acres)
slopes between all pairs of points are the same.
y 5 22x 1 7 15. First find the equation of the
line passing through (3, 16) and (22, 214). The
line is given by y 5 6x 2 2. Find the value of h by
substituting 28 for y and solving for x. h 5 5
16. about 2.7 cars per hour; 39 cars
17. y 5 2.7x 1 6.3; The slope, 2.7, represents
the cost (in dollars) per line over 3 lines. The
y-intercept, 6.3, represents the cost of the first
three lines. 18. a. y 5 23.27x 1 964.5
b.
The slope represents
Farm Acreage
y
the amount of
970
decrease in the
960
number of farms
950
940
each year. The
930
y-intercept represents
920
910
the number of farms
900
in 1987.
0
x
21
Download