Name ———————————————————————
Lesson
3.2
Date ————————————
Practice A
For use with the lesson “Graph Linear Equations”
Decide which of the two points lies on the graph of the line.
1. x 1 y 5 6
2. 3x 1 y 5 10
a. (2, 2)
b. (5, 1)
4. x 2 y 5 2
a. (3, 1)
3. y 2 x 5 4
b. (1, 3)
5. x 1 3y 5 22
a. (6, 4)
b. (5, 7)
7. 2x 1 2y 5 6
a. (24, 5)
a. (26, 6)
b. (4, 22)
a. (2, 23)
a. (3, 1)
a. (21, 21) b. (23, 22)
b. (23, 2)
b. (1, 3)
9. 2x 2 5y 5 214
11. y 5 4
10. x 5 23
b. (5, 9)
6. 24x 1 y 5 211
8. 6x 2 2y 5 24
b. (6, 23)
a. (9, 5)
a. (2, 22) b. (22, 2)
12. x 5 0
a. (6, 4)
b. (4, 6)
a. (0, 7)
b. (24, 0)
Solve the equation for y.
13. x 1 y 5 7
14. 2x 1 y 5 4
15. 2x 1 y 5 0
16. 3x 1 y 5 10
17. 22x 1 y 5 11
18. 4x 1 2y 5 6
19. x 1 8y 5 24
20. 26x 1 2y 5 10
21. 2x 1 3y 5 12
Match the equation with its graph.
Lesson 3.2
A.
1
23. x 5 23
y
B.
1
21
21
3 x
3
24. y 5 25
y
y
3
1
1
1
21
21
23
C.
3 x
1 x
21
21
23
23
Graph the equation.
25. x 2 2 5 0
26. y 1 5 5 0
y
6
1
21
21
1
3 x
27. 2y 5 26
y
3
2
22
22
1
2
6 x
23
21
21
23
26
3-20
y
23
1
x
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
22. x 1 y 5 0
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Name ———————————————————————
Date ————————————
Practice A
Lesson
continued
For use with the lesson “Graph Linear Equations”
3.2
Match the equation with its range.
28. y 5 3x 2 4, x ≥ 2
29. y 5 3x 1 4, x ≤ 1
30. y 5 2x 2 4, x ≤ 3
31. y 5 4x 2 2, x ≤ 3
32. y 5 4x 1 2, x ≥ 2
33. y 5 2x 1 4, x ≤ 1
A. y < 10
B. y < 7
D. y < 2
E. y > 2
C. y < 6
F. y > 10
Graph the equation.
34. y 2 4x 5 0
35. y 2 x 5 5
36. y 1 2x 5 21
y
y
y
3
6
3
1
2
1
21
21
1
3 x
22
22
6 x
2
23
1
21
21
x
37. Bicycling You ride your bicycle at a rate of 10 mi/h. The distance d (in miles) that
you ride is given by the function d = 10t where t is the time in hours.
Bicycling
Bicycling
d
50
d
50
40
30
20
10
0
40
30
20
10
Miles
Miles
and identify its domain and range.
What is the greatest distance you can
ride in 3 hours?
b. Suppose you ride for 5 hours. Graph the
function and identify its domain and
range. What is the greatest distance you
can ride in 5 hours?
0
0 1 2 3 t
Lesson 3.2
0 1 2 3 4 5 t
Hours
Hours
38. Science Experiment You are doing a science experiment in which an object
is heated in a kiln. The temperature of the kiln increases 2F every second. The
temperature t (in degrees Fahrenheit) of the kiln every second is given by the
function t = 2s where s is the time in seconds.
a. You want the kiln to reach a maximum
Kiln Temp.
t
800
600
400
200
0
0
400
800 s
Seconds
Kiln Temp.
Temperature °F
temperature of 700F. Graph the function
and identify its domain and range. How
many seconds will it take the kiln to
reach 700F?
b. Suppose you turn off the kiln after
50 seconds. Graph the function and
identify its domain and range. What is the
temperature when you turn off the kiln?
Temperature °F
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
a. You ride for 3 hours. Graph the function
t
100
75
50
25
0
0 25 50 75 100 s
Seconds
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38. a.
1. b 2. a 3. b 4. a 5. b 6. a 7. b 8. a
9. b 10. b 11. a 12. a 13. y 5 7 2 x
y
25.
26.
6
1
1
21
21
2
22
22
10.
6
4
4
24
24
1
35.
2
x
1
2
14.
6 x
2
22
22
6
26
15.
y
y
3
1
x
2
22
22
3
3 x
1
21
26
1
1
16. range: y ≥ 22
x
3
37. a.
x
�6
y
21
21
2
22
22
6 x
2
2
23
y
6
2
22
2
3 x
13.
6
6
36.
6 x
2
22
y
y
3
1
12
x
y
Bicycling
b.
Bicycling
d
50
d
50
40
30
20
10
0
40
30
20
10
Miles
Miles
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
y
12
28. E 29. B 30. D 31. A 32. F 33. C
21
11.
y
12.
34.
domain: 0 ≤ t ≤ 50
range: 0 ≤ s ≤ 100
100 8F
1. b 2. b 3. b 4. y 5 6x 1 11
y
21
21
Seconds
Practice B
1
23
0 25 50 75 100 s
3
9. y 5 2} x 2 4
2
6 x
26
3
800 s
7. y 5 2x 1 8 8. y 5 2x 2 5
23
27.
400
5. y 5 24x 1 5 6. y 5 2x 1 3
y
2
3 x
0
domain: 0 ≤ t ≤ 350
range: 0 ≤ s ≤ 700
350 seconds
17. y 5 2x 1 11 18. y 5 3 2 2x
2
21. y 5 2} x 1 4 22. B 23. C 24. A
3
600
400
200
0
t
100
75
50
25
0
Seconds
14. y 5 x 1 4 15. y 5 x 16. y 5 10 2 3x
1
19. y 5 2} x 1 3 20. y 5 3x 1 5
8
Kiln Temp.
t
800
answers
Temperature °F
Practice A
b.
Kiln Temp.
Temperature °F
Lesson 3.2 Graph Linear
Equations, continued
0 1 2 3 t
Hours
domain: 0 ≤ t ≤ 3
range: 0 ≤ d ≤ 30
30 miles
0
17. range: y ≥ 1
y
y
1
1
21
21
1
3 x
3 x
1
21
21
23
18. range: y 5 3
0 1 2 3 4 5 t
y
Hours
domain: 0 ≤ t ≤ 5
range: 0 ≤ d ≤ 50
50 miles
19. range: y 5 21
1
23
21
y
1
x
1
21
21
1
3 x
23
25
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