C H A P T E R S 1 – 8 CUMULATIVE REVIEW

1.Round 7,535,670 [Section 1.1]

a.to the nearest hundred.

b.to the nearest ten thousand.

2.CHICKEN WINGS As of July 2009, Wingstop, a chain of restaurants, had sold a total of 1,726,357,068 chicken wings. Write this number in words and in expanded notation. (Source: wingstop.com)

[Section 1.1]

Perform each operation.

3.5,679 68 109 3,458 [Section 1.2]

4.Subtract 4,375 from 7,697. [Section 1.3]

5.5,345 46 [Section 1.4]

6.35 30,625 [Section 1.5]

7.Refer to the illustration of the rectangular swimming pool below.

a.Find the perimeter of the pool. [Section 1.2]

b.Find the area of the surface of the pool.

[Section 1.5]

15. Perform each operation.

a.16 11 [Section 2.2]

b.21 ( 17) [Section 2.3]

c.6(40) [Section 2.4]

80

d.10 [Section 2.5]

16.THE GATEWAY CITY The record high temperature for St. Louis, Missouri, is 107°F. The record low temperature is 18°F. Find the temperature range for these extremes. (Source:

The World Almanac and Book of Facts, 2009)

[Section 2.3]

Evaluate each expression. [Section 2.6]

( 6)2 15

17.

4 3

18.102 ( 10)2

19.Simplify: 3696 [Section 3.1]

20.Write 56 as an equivalent fraction with denominator 54. [Section 3.1]

Perform the operations.

1 5

23.9 6 [Section 3.4]

8.DISCOUNT LODGING A hotel is offering rooms that normally go for $99 per night for only $65 a night. How many dollars would a traveler save if he stays in such a room for 5 nights? [Section 1.6]

9.a. Find the factors of 20. [Section 1.7]

b.Find the prime factorization of 20.

10.a. Find the LCM of 14 and 21. [Section 1.8]

b.Find the GCF of 14 and 21.

13.Graph the integers greater than 3 but less than 6.

[Section 2.1]

111

24.20 4 ( 116) [Section 3.5]

41

25.5811 152 [Section 3.6]

25 14

26.[Section 3.7]

25 14

27.READING A student has read 23 of a novel. He plans to read one-half of the remaining pages by this

evening. [Section 3.3]

a.What fraction of the book will he have read by this evening?

b.What fraction of the book is left to read?

28.Consider the decimal number: 304.817 [Section 4.1]

a.What is the place value of the digit 1?

b.Which digit tells the number of thousandths?

c.Which digit tells the number of hundreds?

d.What is the place value of the digit 7?

e.Round 304.817 to the nearest hundredth.

Perform the operations.

29. 645 9.90005 0.12 3.02002 [Section 4.2]

39.Write the ratio 45 35 as a fraction in simplest form.

[Section 5.1]

40.ANNIVERSARY GIFTS A florist sells a dozen long-stemmed red roses for $45. In honor of their 25th wedding anniversary, a man wants to buy 25 roses for his wife. What will the roses cost? (Hint: How many roses are in one dozen?)

[Section 5.2]

41.Solve the proportion: 9.8x 2.85.4 [Section 5.2]

42.Convert 80 minutes to hours. [Section 5.3]

43.Convert 7,500 milligrams to grams [Section 5.4]

44.TRACK AND FIELD A shot-put weighs 7.264 kilograms. Give this weight in pounds.

[Section 5.5]

45.Complete the table below. [Section 6.1]

46.13 is what percent of 25? [Section 6.2]

47.7.8 is 12% of what number? [Section 6.2]

48.INSTRUCTIONAL EQUIPMENT Find the amount of the discount and the sale price of the overhead projector shown below. [Section 6.3]

OVERHEAD PROJECTORS

49.Estimate: What is 5% of 16,359? [Section 6.4]

50.LOANS If $400 is invested at 6.5% simple interest for 6 years, what will be the total amount of money in the investment account at the end of the 6 years?

[Section 6.5]

51.SPACE TRAVEL A Gallup Poll conducted July 10–12, 2009, asked a group of adults whether the U.S. space program has brought enough benefits to the country to justify the costs. The results are shown in the bar graph below. [Section 7.1]

It’s now 40 years since the United States first landed men on the moon. Do you think the space program has brought enough benefits to this country to justify its costs, or don’t you think so?

By age

Yes No

Source: gallup.com

a.Which age group felt more positive about the benefits of the space program?

b.If 800 people in the survey were in the 50+ age group, how many of them responded that the benefits of the space program did not justify the costs?

52.Find the mean, median, and mode of the following set of values. [Section 7.2]

53. Evaluate 3x x3 for x 4. [Section 8.1]

710Chapter 8 Cumulative Review

54.Translate each phrase to an algebraic expression.

[Section 8.1]

a.4 less than x

b.Twice the weight w increased by 50

55.Simplify each expression. [Section 8.2]

a. 3(5x)

58.Use a check to determine whether 4 is a solution of 3x 1 x 8. [Section 8.3]

Solve each equation and check the result. [Section 8.4]

61.3(3y 8) 2(y 4) 3y

62.8 y 10

Form an equation and solve it to answer each question.

63.OBSERVATION HOURS To get a Masters degree in learning disabilities, a graduate student must have 100 hours of observation time. If a student has already observed for 37 hours, how many more 3-hour shifts must she observe?

[Section 8.5]

64.GEOMETRY The perimeter of a rectangle is 210 feet. If the length is four times longer than the

width, what is the length and width of the rectangle?

[Section 8.5]

65.Identify the base and the exponent of each expression. [Section 8.6]

a.89

b.2a3

66.Simplify each expression. [Section 8.6]

An Introduction to Geometry

from Campus to Careers

Surveyor

Surveyors measure distances, directions, elevations (heights), and angles between lines on Earth’s surface. Surveys are also in the air and underground. Surveyors often work in

teams. They use a variety of instruments and electronics, including the Global Positioning System (GPS). In general, people who like surveying also like math—primarily geometry and trigonometry. The field attracts people with geology, forestry, history, engineering, computer science, and astronomy backgrounds, too.

In Problem 83 of Study Set 9.5, you will see how a surveyor, using geometry, can stay on dry land and yet measure the width of a river.

9

Cumulative Review