Name Class Date Extra Practice
Chapter 5
Lesson 5-1
Find the slope of each line.
1. 2. y
3.
y
2
2
2
x
O
-2
y
x
2
O
-2
-2
x
2
-2
-2
22
Find the rate of change for each situation.
O
2
-2
1
3
4. growing from 1.4 m to 1.6 m in one year
undefined
0.2 m/yr
5. bicycling 3 mi in 15 min and 7 mi in 55 min 0.1 mi/min
6. growing 22.4 mm in 14 s
1.6 mm/s
7. reading 8 pages in 9 min and 22 pages in 30 min 23 page per minute
8. The cost of four movie tickets is $30 and the cost of seven tickets is $52.50. $7.50/ticket
9. Five seconds after jumping out of the plane, a sky diver is 10,000 ft above the ground. After 30 seconds, the sky diver is 3750 ft above the ground. 2250 ft/s
10. Find the slope of the line that includes the points (1, 4) and (23, 22). 32
Lesson 5-2
Tell whether each equation is a direct variation. If it is, find the constant of variation.
12. 4y 5 x yes; 14
11. y 5 2x 2 2 no
y
13. x 5 3
yes; 3
Graph the direct variation that includes the given point. Write the equation of the line.
14. (5, 4) y 5 45 x
y
4
2
x
O
2
4
16. (23, 210) y 5 10
17. (4, 28) y 5 22 x
3 x
y
y O
x
-4 -2
4
-2
x
O 2 4 6
-6
-4
15. (7, 7) y 5 x
6
5
4
3
2
y
x
O
1 2 3 4 5 6
-6
-8
-10
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.­­
17
Name Class Date Extra Practice (continued)
Chapter 5
Write a direct variation to model each situation. Then answer the question.
18. After 30 minutes, a car moving at a constant speed has traveled 25 miles. Moving at the
same speed, how far will it travel in 140 minutes? 50t 5 d in hours; 56t 5 d in minutes
about 117 mi
19. What is the perimeter of a square with side length 13.4 inches? P 5 4s; 53.6 in.
Lesson 5-3
Find the slope and y-intercept.
20. y 5 6x 1 8
21. 3x 1 4y 5 224
slope 5 6, y-intercept 5 8
slope 5 234 , y-intercept 5 26
23
23. y 5 4 x 2 8
24. 2y 5 3x 2 1
3
slope 5 24 , y-intercept 5 28 slope 5 32 , y-intercept 5 212
22. 2y 5 8
slope 5 0, y-intercept 5 4
25. 4x 2 5y 5 2
slope 5 45 , y-intercept 5 225
A line passes through the given points. Write an equation for the line in
slope-intercept form.
26. (22, 4) and (3, 9)
y5x16
27. (1, 6) and (9, 24)
y 5 254x 1 714
28. (0, 27) and (21, 0)
y 5 27x 2 7
29. (7, 0) and (3, 24)
30. (0, 0) and (27, 1)
31. (10, 0) and (0, 7)
y5
y5x27
Graph each equation.
217 x
7
y 5 210
x17
y
2
y
32. y 5 2x 2 3
2
33. y 5 3 x 2 4
x
-2
O
2
4
O
2
4
-2
-2
Write an equation in slope-intercept form for each situation.
5
34. A skateboard ramp is 5 ft high and 12 ft long from end to end. y 5 12
x
35. An airplane with no fuel weighs 2575 lbs. Each gallon of gasoline added to
the fuel tanks weighs 6 lbs. y 5 6x 1 2575
Lessons 5-4 and 5-5
Write an equation in point-slope form for the line through the given point with
the given slope.
36. (4, 6); m 5 25
y 2 6 5 25( x 2 4)
37. (3, 21); m 5 1
y115x23
1
38. (8, 5); m 5 2
y 2 5 5 12 ( x 2 8)
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.­­
18
x
Name Class Date Extra Practice (continued)
Chapter 5
Find the x- and y-intercepts for each equation.
39. y 5 27x
x-intercept 5 0,
y-intercept 5 0
1
40. y 5 2 x 1 3
x-intercept 5 26,
y-intercept 5 3
41. 22y 5 5x 2 12
42. x 1 4y 5 8
43. y 2 5 5 22(x 1 1)
44. x 1 3 5 0
Graph each equation.
4
y
y
x
O
x-intercept 5 12
5,
y-intercept 5 6
4
x
3
8
y
2
x
O
-2
2
O
-1
y
x
4
-2
2
-2
3
46. y 5 21
45. 4x 2 3y 5 12
O
-2
x
-2
y
2
O
1
47. y 1 1 5 22(x 1 2)
y
x
-2 O
2
2
-2
-4
-4
Write an equation in point-slope form for each situation.
48. A train travels at a rate of 70 mi/h. Two hours after leaving the station it
is 210 miles from its destination. y 2 210 5 70(x 2 2)
3
49. An escalator has a slope of 4 . After traveling forward 32 feet, the escalator is
24 feet above the floor. y 2 24 5 34(x 2 32)
Write an equation in standard form for each situation.
50. Juan can ride his bike at 12 mi/h and walk at 4 mi/h. Write an equation that
relates the amount of time he can spend riding or walking combined, to
travel 20 miles. 12b 1 4w 5 20
51. You have $25 to buy supplies for a class party. Juice costs $3 per bottle and
chips cost $2 per bag. Write an equation that relates the amount of juice
and chips you can buy using $25. 3j 1 2c 5 25
Lesson 5-6
Write an equation in standard form that satisfies the given conditions.
52. parallel to y 5 4x 1 1, through (23, 5) 4x 2 y 5 217
53. perpendicular to y 5 2x 2 3,
through (0, 0) x 2 y 5 0
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.­­
19
Name Class Date Extra Practice (continued)
Chapter 5
54. perpendicular to 3x 1 4y 5 12, through (7, 1) 4x 2 3y 5 25
55. parallel to 2x 2 y 5 6,
through (26, 29) 2x 2 y 5 23
56. parallel to the x-axis and through (4, 21)
y 5 21
57. through (4, 44) and parallel to the y-axis
x54
Tell whether each statement is true or false. Explain your choice.
58. Two airplanes traveling at the same rate leave an airport 1 hour apart. The graphs
of
the distance each plane travels will be parallel. True; the same rate of travel
means that slopes of the graphs are the same, so the lines are parallel.
59. Two
lines with negative slopes can be perpendicular. False; the slopes of perpendicular
lines have a product of 21, so one must be positive and the other must be negative.
Lesson 5-7
60. a.Graph the (ages, grades) data of some students in a school. Grade
(10, 6), (16, 10), (15, 10), (18, 12), (17, 11),
(17, 12), (19, 12), (16, 11), (11, 7), (15, 9), (13, 8)
b.Draw a trend line.
c. Find the equation of the line of best fit.
grade 5 0.720 ? age 2 1.118
12
11
10
9
8
7
6
0
4
8 12 16 20
Age (yr)
61. Use a calculator to find a line of best fit
Total U.S. Vehicle Production (millions)
1960
1970
1980
1990
2000
7.9
8.8
8.0
9.8
12.8
for the data in the chart at the right. Find
the value of the correlation coefficient r.
Let x 5 0 correspond to 1960. y 5 0.11x 1 7.3; 0.8466
Lesson 5-8
Graph each equation by translating y 5 u x u or y 5 2u x u .
62. A car traveling at a rate of 50 mi/h passes a rest area 30 minutes after the
beginning of the trip. Write an absolute value equation that represents
the car’s distance from the rest area. y 5 50 u x 2 0.5 u
63. y 5 u x u 1 1
4
64. y 5 u x 1 2 u y
65. y 5 2u x 1 1 u
4
y
y
x
O
-4
x
x
-2
O
2
-4
-2
O
Prentice Hall Algebra 1 • Extra Practice
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.­­
20
-2
2