Download Practice B

Name ———————————————————————
Lesson
3.3
Date ————————————
Practice B
For use with the lesson “Graph Using Intercepts”
Find the x-intercept and the y-intercept of the graph of the equation.
1. x 1 y 5 1
2. x 2 y 5 25
3. 6x 2 3y 5 23
4. 5x 1 10y 5 30
5. 9y 2 5x 5 20
6. 8x 2 2y 5 16
7. 7x 1 8y 5 18
8. 2y 2 12x 5 26
9. 2x 2 0.5y 5 8
Draw the line that has the given intercepts.
10. x-intercept: 5
y-intercept: 4
y-intercept: 6
y
6
y-intercept: 23
y
y
2
2
22
22
12. x-intercept: 2
11. x-intercept: 21
x
6
26
6
1
2
21
21
6 x
2
22
22
1
3
x
23
26
Graph the equation. Label the points where the line crosses the axes.
14. y 5 6 1 3x
1
25
23
21
21
y
26
16. y 5 1 2 3x
6 x
2
22
22
y
3 x
6 x
18. 3y 1 2x 5 25
3
2
1
2
22
22
210
y
22
22
y
26
17. 7x 2 7y 5 42
1
21
21
26
2
25
23
2
6
23
3
y
10
1 x
15. y 5 8x 2 7
2
6
y
1
x
23
21
21
1
3 x
26
23
Lesson 3.3
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
13. y 5 2x 2 4
23
Algebra 1
Chapter Resource Book
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Name ———————————————————————
Date ————————————
Practice B
Lesson
continued
For use with the lesson “Graph Using Intercepts”
3.3
19. 4x 2 9y 5 16
3
20. y 5 0.5x 2 2
y
3
1
21
21
21. y 5 3x 1 0.2
y
y
1
1
1
3
5 x
21
21
1
3
5 x
1
21
x
21
23
23
Match the equation with its intercepts.
A. x-intercept: 4
y-intercept: 27
23. 7x 5 4y 1 28
24. 4y 5 7x 1 28
C. x-intercept: 7
B. x-intercept: 24
y-intercept: 7
y-intercept: 4
Length (inches)
25. Rabbit Hutch The bottom of a rabbit cage is a rectangle with a
perimeter of 118 inches. Let x be the cage’s width (in inches)
and let y be its length (in inches).
a. Write an equation for the perimeter.
b. Find the intercepts of the graph of the equation you wrote.
y
60
48
36
24
12
0
Then graph the equation.
0 12 24 36 48 60 x
Width (inches)
show costs $7 per person during the week and $9 per person
on the weekend. During one week of the show, a total of
$142,506 was paid in admissions. This situation can be
represented by the equation 7x 1 9y 5 142,506 where x is the
number of tickets sold during the week and y is the number
of tickets sold on the weekend.
a. Find the intercepts of the graph of the equation.
Weekend sales
26. Home and Garden Show Admission to a home and garden
y
15,000
12,500
10,000
7,500
5,000
2,500
0
Graph the equation.
b. Give three possibilities for the number of each kind
of ticket that could have been sold for the week.
Graph the equation.
b. What do the intercepts mean in this situation?
c. What are three possible numbers of minutes of biking
and skating the man could do to reach his goal?
3-36
Minutes in-line sklating
Lesson 3.3
a. Find the intercepts of the graph of the equation.
7,500
15,000
Weekday sales
27. Burning Calories A man burns 10 calories per minute
mountain biking and 7.5 calories per minute in-line skating.
His goal is to burn approximately 420 calories daily. This
situation can be represented by the equation 10x 1 7.5y 5 420
where x is the number of minutes spent mountain biking and
y is the number of minutes spent in-line skating.
0
y
56
49
42
35
28
21
14
7
0
x
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
22. 7y 5 28 2 4x
0 7 14 21 28 35 42 x
Minutes mountain biking
Algebra 1
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Lesson 3.3 Graph Using
Intercepts, continued
18.
0 4 8 12 16 20 24 x
1
21
21
23
c. 21 tickets
(4, 0)
5 x
b. x: 59; y: 59
0 20 40 60 80 x
1
,
15
0
(
1
(0, 0.2)
21
1
x
y
2
6
(5, 0)
2
22
22
x
(0, 6)
(21, 0)
26
6 x
26
y
12.
1
1
14.
x
6
25
15.
y
2
26
(0, 6)
26
2
22
17.
y
(0, 1)
21
21
( , 0(
1
3
1
23
22
22
y
56
49
42
35
28
21
14
7
0
0 7 14 21 28 35 42 x
b. The x-intercept is the number of calories burnt
when the man only mountain bikes and the
y-intercept is the number of calories burnt when
the man only in-line skates. c. Answers will vary.
Practice C
y
2
3 x
6 x
(0, 27)
6 x
x
Minutes mountain biking
0
2
22
22
2
16.
( (
7
,
8
15,000
b. Answers will vary.
(0, 24)
y
7,500
Weekday sales
1 x
21
21
(0, 23)
10
(22, 0)
3
25
0
27. a. x: 42; y: 56
y
1
(24, 0)
(2, 0)
21
21
23
13.
y
15,000
12,500
10,000
7,500
5,000
2,500
0
2
22
26. a. x: 20,358; y: 15,834
Minutes in-line sklating
11.
y
(0, 4)
0 12 24 36 48 60 x
Width (inches)
Weekend sales
18
9
7. x: }; y: }
7
4
6
y
60
48
36
24
12
0
1
2. x: 25; y: 5 3. x: 2}; y: 1
2
20
5. x: 24; y: } 6. x: 2; y: 28
9
1
8. x: }; y: 23 9. x: 4; y: 216
2
4. x: 6; y: 3
A26
(2
25. a. 2x 1 2y 5 118
1. x: 1; y: 1
23
y
22. C 23. A 24. B
Practice B
26
16
9
(0, 22)
Advance tickets
10.
(0, 2 (
21.
y
Length (inches)
Tickets at the door
23
5 x
2
(6, 0)
(0, 26)
6
x
9
1. x: 4; y: 3 2. x: 25; y: 7 3. x: }; y: 22
2
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Senior members
answers
3
1
35. a. x: 80; y: 60
y
80
60
40
20
0
(0, 2 (
(4, 0)
1
21
21
23
Junior members
b.
x
5 3
3
20.
y
3
1
5
2
23
y
24
20
16
12
8
4
0
19.
y
(2 , 0(
34. a. x 1 y 5 24 b. x: 24; y: 24
c.
3
15
1
4. x: 22; y: 2} 5. x: 22; y: 3 6. x: }; y: 215
7
4
Algebra 1
Chapter Resource Book
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