Download cumulative review

44376_08_Ch08_Cum_1-3.qxd
3/8/70
7:52 AM
Page 8-1
8-1
CHAPTERS
CUMULATIVE REVIEW
1–8
14. Evaluate: 32 and (3)2 [Section 2.4]
1. Write 5,764,502 [Section 1.1]
a. in words
15. Evaluate each expression, if possible. [Section 2.5]
b. in expanded notation
2. BASKETBALL RECORDS On December 13, 1983,
the Detroit Pistons and the Denver Nuggets played in
the highest-scoring game in NBA history. See the
game summary below. [Section 1.2]
a. What was the final score?
a. 0 (8)
b.
8
0
c. 0 8
d.
0
8
e. 0 (8)
f. 0(8)
16. Evaluate:
3 3 [5(6) (1 10)D
1 (1)
b. Which team won?
c. What was the total number of points scored in the
game?
[Section 2.6]
17. Estimate the value of the following expression by
rounding each number to the nearest hundred.
[Section 2.6]
Quarter
3,887 (5,806) 4,701
Overtime
1
2
3
4
1
2
3
Detroit
38
36
34
37
14
12
15
Denver
34
40
39
32
14
12
13
Total
18. Simplify: 16
[Section 3.1]
20
9
19. Express 10
as an equivalent fraction with a
denominator of 60. [Section 3.1]
(Source: ESPN.com)
3. Subtract: 70,006 348 [Section 1.3]
4. Multiply: 504 729 [Section 1.4]
5. Divide: 37743 [Section 1.5]
20. GEOGRAPHY Earth has a surface area of about
197,000,000 square miles. Use the information in the
circle graph below to determine the number of square
miles of Earth’s surface covered by land. (Source:
scienceclarified.com) [Section 3.2]
6. DISCOUNT LODGING A hotel is offering rooms
Land covers about
3 of the Earth’s surface
––
10
that normally go for $189 per night for only $109 a
night. How many dollars would a traveler save if he
stays in such a room for one week? [Section 1.6]
7. List the factors of 30, from smallest to largest.
[Section 1.7]
8. Find the prime factorization of 360.
[Section 1.7]
9. Find the LCM and the GCF of 20 and 28.
[Section 1.8]
10. Evaluate: 81 9 C72 7(11 4)D [Section 1.9]
11. Place an or an symbol in the box to make a true
statement: (10)
21. What is the formula for the area of a triangle?
[Section 3.2]
7
8
22. Divide: 11 [Section 2.1]
12. Evaluate: (12 6) (6 8) [Section 2.2]
13. GOLF Tiger Woods won the 100th U.S. Open in June
of 2000 by the largest margin in the history of that
tournament. If he shot 12 under par (12) and the
second-place finisher, Miguel Angel Jimenez, shot 3
over par (3), what was Tiger’s margin of victory?
[Section 2.3]
Water covers about
7 of the Earth’s surface
––
10
23. Subtract:
7
[Section 3.3]
8
11
7
[Section 3.4]
12
15
24. Determine which fraction is larger:
[Section 3.4]
19
5
or
15
4
44376_08_Ch08_Cum_1-3.qxd
8-2
3/8/70
7:52 AM
Page 8-2
Chapter 8 Cumulative Review
25. HARDWARE Find the length of the wood screw
shown below. [Section 3.4]
1
37. Write 12
as a decimal. [Section 4.5]
38. LUNCH MEATS A shopper purchased 43 pound
5
Head: –– in.
32
5
Shank: –– in.
16
of barbequed beef, priced at $8.60 per pound, and
2
3 pound of ham, selling for $5.25 per pound. Find
the total cost of these items. [Section 4.5]
39. Evaluate: 3 225 4 24 [Section 4.6]
1
Thread: – in.
2
40. Express the phrase “3 inches to 15 inches” as a ratio
in simplest form. [Section 5.1]
41. BUILDING MATERIALS Which is the better buy:
a 94-pound bag of cement for $4.48 or a 100-pound
bag of cement for $4.80? [Section 5.1]
1
9
26. Multiply: a15 b a b [Section 3.5]
3
20
27. MOTORS What is the difference in horsepower (hp)
between the two motors shown? [Section 3.6]
Keyed shaft
1
1 –2 hp
Thru bolt mount
3
– hp
4
42. Determine whether the proportion 25
33 12
17
is true or
false. [Section 5.2]
43. CAFFEINE There are 55 milligrams of caffeine in
12 ounces of Mountain Dew. How many milligrams of
caffeine are there in a super-size 44-ounce cup
of Mountain Dew? Round to the nearest milligram.
[Section 5.2]
44. Solve the proportion:
35
x
[Section 5.2]
3
7
45. Classify each of the following as an equation or an
expression. [Section 7.1]
a. 4m 3 2m
3
4
28. Simplify:
[Section 3.7]
7
1
8
4
46. Write each phrase as an algebraic expression.
[Section 7.1]
29. Place an or symbol in the box to make a true
statement. [Section 4.1]
64.22
b. 4m 3 2m
64.238
a. The sum of the width w and 12.
b. Four less than a number n.
47. Write
30. Graph 134 , 2.25, 0.5, 11
8 , 3.2, and 29 on a number
line. [Section 4.1]
15
as a decimal. [Section 7.2]
16
48. Evaluate each expression. [Section 7.2]
a. 0 65 0
b. 0 12 0
49. Determine whether the statement is true or false.
−5 −4 −3 −2 −1
0
1
2
3
4
5
[Section 7.2]
a. Every natural number is a whole number.
31. Add: 20.04 2.4 [Section 4.2]
b. 3 is a rational number.
32. Subtract: 8.08 15.3 [Section 4.2]
c. p is a rational number.
33. Multiply: 2.5 100 [Section 4.3]
34. AQUARIUMS One gallon of water weighs
8.33 pounds. What is the weight of the water
in an aquarium that holds 55 gallons of water?
[Section 4.3]
r 8.5. [Section 4.4]
a. 6 (12) 8 [Section 7.3]
b. 15 (1) [Section 7.4]
c. 2(32) [Section 7.5]
d.
35. Divide: 2.5 100 [Section 4.4]
36. Evaluate the formula t 50. Perform each operation.
d
r
for d 107.95 and
0
[Section 7.5]
35
51. Write each product using exponents. [Section 7.6]
a. 4 4 4
b. p r r h
44376_08_Ch08_Cum_1-3.qxd
3/8/70
7:52 AM
Page 8-3
Chapter 8 Cumulative Review
52. Complete the table. [Section 7.7]
x
x2 3
2
0
72. Find the volume of a cone that is 10 centimeters
tall and has a circular base whose diameter is
12 centimeters. Round to the nearest hundredth.
[Section 8.3]
3
Let x 5, y 3, and z 0. Evaluate each expression.
[Section 7.7]
53. (3x 2y)z
54.
55. x 2 y2 z2
56.
x 3y 0 z 0
2x
73. Solve A P Prt for t. [Section 8.3]
74. Find the unknown angle measure represented by x.
[Section 8.4]
y2
x
y
3z
70°
x
Simplify each expression. [Section 7.8]
57. 8(4d)
58. 5(2x 3y 1)
59. 2x 3x
60. 3a 6a 17a
61. q(q 5) 7q2
62. 5(t 4) 3t
x
75. INVESTING An investment club invested part of
$10,000 at 9% annual interest and the rest at 8%. If
the annual income from these investments was
$860, how much was invested at 8%? [Section 8.5]
76. GOLDSMITHING How many ounces of a 40%
Solve each equation. [Sections 8.1 and 8.2]
63. 3x 4 23
64.
x
37
5
65. 5p 0.7 3.7
66.
y4
3
5
gold alloy must be mixed with 10 ounces of a 10%
gold alloy to obtain an alloy that is 25% gold?
[Section 8.5]
Solve each inequality, graph the solution, and use interval
notation to describe the solution. [Section 8.6]
77. x 4 6
4
67. x 16
5
78. 6x 12
68. 9(n 2) 2(n 3) 10
69. 9y 3 6y
70.
1
x
3
2
5
4
71. Find the area of a rectangle with sides of 5 meters
and 13 meters. [Section 8.3]
79. 8x 4 5x 1
80. 1 2x 1 5
8-3