C H A P T E R S 1 – 7 CUMULATIVE REVIEW

1.AUTOMOBILES In 2008, a total of 52,940,559 cars were produced in the world. Write this number in words and in expanded notation. (Source: Worldometers) [Section 1.1]

2.Round 49,999 to the nearest thousand.

[Section 1.1]

Perform each operation.

7.Explain how to check the following result using addition. [Section 1.3]

1,142

459

683

8.ROOM DIVIDERS Four pieces of plywood, each 22 inches wide and 62 inches high, are to be covered with fabric, front and back, to make the room divider shown. How many square inches of fabric will be used? [Section 1.4]

9.THE VIETNAMESE CALENDAR An animal represents each Vietnamese lunar year. Recent Years of the Cat are listed below. If the cycle continues, what year will be the next Year of the Cat? [Section 1.6]

10.a. Find the factors of 18. [Section 1.7]

b.Find the prime factorization of 18.

11.Write the first ten prime numbers. [Section 1.7]

12.a. Find the LCM of 8 and 12. [Section 1.8]

b.Find the GCF of 8 and 12.

Evaluate each expression. [Section 1.9]

13. 15 5C12 (22 4)D

12 5 3

14.

32 2 3

15.Graph the integers greater than 3 but less than 4.

[Section 2.1]

16.a. Simplify: ( 6) [Section 2.1]

b.Find the absolute value: 5

c.Is the statement 12 10 true or false?

17.Perform each operation.

a.25 5 [Section 2.2]

b.25 ( 5) [Section 2.3]

c.25(5) [Section 2.4]

25

d.5 [Section 2.5]

18.PLANETS Mercury orbits closer to the sun than does any other planet. Temperatures on Mercury can get as high as 810°F and as low as 290°F. What is the temperature range? [Section 2.3]

Evaluate each expression. [Section 2.6]

Perform each operation. Simplify, if possible.

4 2

25.5 7 [Section 3.2]

82

26.63 7 [Section 3.3]

21

27.Subtract 3 from 2 . [Section 3.4]

11 1

28.12 30 [Section 3.4]

634Chapter 7 Cumulative Review

29.CLASS TIME In a chemistry course, students

spend a total of 300 minutes in lab and lecture each week. If 157 of the time is spent in lab each week, how many minutes are spent in lecture

each week? [Section 3.3]

30.Divide: 2 45 a 2 23 b [Section 3.5]

31.TENNIS Find the length of the handle on the tennis racquet shown below. [Section 3.6]

26 in.

1

19 –4 in.

32.Evaluate the formula A 12h(a b) for a 4 12, b 5 12, and h 2 18. [Section 3.7]

15

33. Simplify the complex fraction: [Section 3.7]

8

15

34.Write 400 20 8 109 1001 as a decimal.

[Section 4.1]

35.CHECKBOOKS Find the total dollar amount of checks written in the register shown below.

[Section 4.2]

TO:

FOR:

TO:

FOR:

TO:

FOR:

TO:

FOR:

36.Perform each operation in your head. [Section 4.3]

a.Multiply: 3.45 100

b.Divide: 3.45 10,000

Perform each operation.

760.2

37. Subtract: 614.7 [Section 4.2]

38. Multiply: ( 0.31)(2.4) [Section 4.3]

39. Divide: 0.72 536.4 [Section 4.4]

40. Divide: 4 0.073 [Section 4.4]

[Section 4.6]

43.Express the phrase “8 feet to 4 yards” as a ratio in simplest form. [Section 5.1]

44.CLOTHES SHOPPING As part of a summer clearance, a women’s store put turtleneck sweaters on sale, 3 for $35.97. How much will five turtleneck sweaters cost? [Section 5.2]

46.Convert 8 pints to fluid ounces. [Section 5.3]

47.Convert 640 centimeters to meters. [Section 5.4]

48.Convert 67.7°F to degrees Celsius. Round to the nearest tenth. [Section 5.5]

49.Complete the table below. [Section 6.1]

3%

9

4

0.041

50.90 is what percent of 525? Round to the nearest one percent. [Section 6.2]

51.What number is 105% of 23.2? [Section 6.2]

52.19.2 is 33 13% of what number? [Section 6.2]

53.SALES TAX Find the sales tax on a purchase of $98.95 if the sales tax rate is 8%. [Section 6.3]

54.SELLING ELECTRONICS If the commission on a $1,500 laptop computer is $240, what is the commission rate? [Section 6.3]

55.TIPPING Estimate the 15% tip on a $77.55 dinner bill. [Section 6.4]

56.REMODELING A homeowner borrows $18,000 to pay for a kitchen remodeling project. The terms of the loan are 9.2% simple interest and repayment in 2 years. How much interest will be paid on the loan?

[Section 6.5]

57.LOANS $12,600 is loaned at a simple interest rate of 18%. Find the total amount that must be repaid at the end of a 90-day period. [Section 6.5]

58.SPINAL CORD INJURIES Refer to the circle graph below. [Section 7.1]

a.What percent of spinal cord injuries are caused by sports accidents?

b.If there are approximately 12,000 new cases of spinal cord injury each year, according to the graph, how many of them were caused by motor vehicle crashes?

Causes of Spinal Cord Injury in the United States

Violence, 15%

Sports, ?%

Falls, 27%

Other/unknown,

9%

Vehicle crashes, 42%

Source: National Spinal Cord Injury Statistical Center

59.AVALANCHES The bar graph in the next column shows the number of deaths from avalanches in the United States for the winter seasons ending in the years 2000 to 2009. Use the graph to answer the following questions. [Section 7.1]

a.In which year were there the most deaths from avalanches? How many deaths were there?

b.Between what two years was there the greatest increase in the number of deaths from avalanches? What was the increase?

c.Between what two years was there the greatest decrease in the number of deaths from avalanches? What was the decrease?

U.S. Annual Avalanche Deaths

Source: Northwest Weather and Avalanche Center

60.TEAM GPA The grade point averages of the players on a badminton team are listed below. Find the mean, median, and mode of the team’s GPAs.

[Section 7.2]

3.04 4.00 2.75 3.23 3.87 2.21

3.02 2.25 2.98 2.56 3.58 2.75

An Introduction to Algebra

© iStockphoto.com/Dejan Ljami´c

from Campus to Careers

Broadcasting

8

8.1The Language of Algebra

8.2Simplifying Algebraic Expressions

8.3Solving Equations Using Properties of Equality

8.4More about Solving Equations

8.5Using Equations to Solve Application Problems

8.6Multiplication Rules for Exponents

Chapter Summary and Review

Chapter Test Cumulative Review

It takes many people behind the scenes at radio and television what we see and hear over the airwaves possible. There are a variety of job opportunities in broadcasting for talented producers, directors, writers, editors, audio and video engineers, lighting technicians, and camera operators.

These jobs require skills in business and marketing, programming and scheduling, operating electronic equipment, and the mathematical ability to analyze ratings and data.

In Problem 41 of Study Set 8.5, you will see how a television producer determines the amount of commercial time and program time he should schedule for a 30-minute time slot.