Solutions
4.
5.
6.
7.
8.
9.
12.
11
.
10.
13.
14.
15.
17. growing from 1.4 m to 1.6 m in one year
16.
0.2 m/yr
18. bicycling 3 mi in 15 min and 7 mi in 55 min
19. growing 22.4 mm in 14 s
0.1 mi/min
1.6 mm/s
20. reading 8 pages in 9 min and 22 pages in 30 min
2/3 page per minute
21. The cost of four movie tickets is $30 and the cost of seven tickets is $52.50. $7.50/ticket
22. 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.
-250 ft/s
23. Find the slope of the line that includes the points (1, 4) and (–3, –2).
3/2
A line passes through the given points. Write an equation for the line in slope-intercept form.
24. (–2, 4) and (3, 9) y=x+6
25. (1, 6) and (9, –4) = − + 7
26. (0, –7) and (–1, 0) y=-7x – 7
27. x + 4y = 8
28. y – 5 = –2(x + 1)
29. x + 3 = 0
Solve each system by graphing.
30. x– y = 7
31. y = 2x + 3
32. y = –2x + 6
3x + 2y = 6
y = − 3 x−4
2
3x + 4y = 24
Solve each system by using substitution.
33. x – y = 13
y – x = –13
34. 3x – y = 4
x + 5y = –4
Solve each system by elimination.
35. x + y = 19
x – y = –7
36. –3x + 4y = 29
3x + 2y = –17
Write a system of equations to model each problem and solve.
37.
A shoe store costs $1800 dollars a month to operate. The average wholesale cost of each pair of shoes is $25,
and the average price of each pair of shoes is $65. How many pairs of shoes must the store sell each month to break
even?
38.
Suppose you have 12 coins that total 32 cents. Some of the coins are nickels and the rest are pennies. How
many of each coin do you have?
For the values given, a and b are legs of a right triangle. Find the length of the hypotenuse. If
necessary, round to the nearest tenth.
39. a = 6, b = 8
6 +8 =
40. a = 5, b = 9
41. a = 4, b = 10
C=10.8
C=10.3
C=10
Use the Pythagorean Theorem to answer the question. Round answer to the nearest tenth
42. A 20-ft ladder is placed 5 ft from the base of a building. How high on the building will the ladder reach?
20 − 5 = ℎ h=19.4
. √497. √505√2. √10010.√453√5
. √1629√2. √755√3. √1202√30 .√1806√5
51.
27 √
=
81
=
√
52.
25 4 !
53.
50
9
√!
Find the circumference of each circle. Round answers to the nearest tenth.
54. A circle with a radius of 2 inches. 12.6in
56.
25.1cm
55. A circle with a diameter of 6 feet. 18.8ft
57.
47.1in
Find the area of each circle. Round answers to the nearest tenth.
58. A circle with a radius of 2 inches. 12.6"#
60.
50.2&
59. A circle with a diameter of 6 feet. 28.3$% 61.
176.6"#
62. Given the circumference of a circle is equal to 12.56 in, what is the area of the circle equal to?
12.56"#
63. Given the area of a circle is equal to 78.5 & , what is the circumference of the circle?
31.4m
Find the perimeter of each shape.
64.
65.
18in
66.
20ft
36cm
67.
Line ML…. 3 + 4 = c=5
5+4+4+7=20
Find the area of each shape.
68. A rectangle with a base of 10in and a height of 4in.
69.
40"#
21$% 70. A triangle with a base of 2ft and a height of 18in. 1.5$% '(216"# 71.
54&