C H A P T E R S 1 – 2 CUMULATIVE REVIEW

1.Consider the number 7,326,549. [Section 1.1]

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

b.Which digit is in the hundred thousands column?

c.Round to the nearest hundred.

d.Round to the nearest ten thousand.

2.BIDS A school district received the bids shown in the table for electrical work. If the lowest bidder wins, which company should be awarded the contract?

[Section 1.1]

Citrus Unified School District Bid 02-9899

Cabling and Conduit Installation

4.THREAD COUNT The thread count of a fabric is the sum of the number of horizontal and vertical threads woven in one square inch of fabric. One square inch of a bed sheet is shown below. Find the thread count. [Section 1.2]

Horizontal count 180 threads

3.NUCLEAR POWER The table gives the number of nuclear power plants operating in the United States for selected years. Complete the bar graph using the given data. [Section 1.1]

Source: allcountries.org and The World Almanac and Book of Facts, 2009

Vertical count 180 threads

Add. [Section 1.2]

9.39,5061,729

10.Subtract 304 from 1,736. [Section 1.3]

11.Check the subtraction below using addition. Is it correct? [Section 1.3]

469

237

132

12.SHIPPING FURNITURE In a shipment of 147 pieces of furniture, 27 pieces were sofas,

55 were leather chairs, and the rest were wooden chairs. Find the number of wooden chairs. [Section 1.3]

15.3,100 7,000

16.PACKAGING There are 3 tennis balls in one can, 24 cans in one case, and 12 cases in one box. How many tennis balls are there in one box? [Section 1.4]

17.GARDENING Find the perimeter and the area of the rectangular garden shown below. [Section 1.4]

17 ft

35 ft

18.PHOTOGRAPHY The photographs below are the same except that different numbers of pixels (squares of color) are used to display them. The number of pixels in each row and each column of the photographs are given. Find the total number of pixels in each photograph. [Section 1.4]

23.Check the division below using multiplication. Is it correct? [Section 1.5]

9 1,962 218

24.GARDENING A metal can holds 320 fluid ounces of gasoline. How many times can the 30-ounce tank of a lawnmower be filled from the can? How

many ounces of gasoline will be left in the can?

[Section 1.5]

25.BAKING A baker uses 4-ounce pieces of bread dough to make dinner rolls. How many dinner rolls can he make from 15 pounds of dough? (Hint: There are 16 ounces in one pound.) [Section 1.6]

26.List the factors of 18, from least to greatest.

[Section 1.7]

27.Identify each number as a prime number, a composite number, or neither. Then identify it as an even number or an odd number. [Section 1.7]

28.Find the prime factorization of 504. Use exponents to express your answer. [Section 1.7]

29.Write the expression 11 11 11 11 using an exponent. [Section 1.7]

30.Evaluate: 52 7 [Section 1.7]

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

32.Find the LCM of 3, 6, and 15. [Section 1.8]

33.Find the GCF of 30 and 48. [Section 1.8]

34.Find the GCF of 81, 108, and 162. [Section 1.8]

Evaluate each expression. [Section 1.9]

35. 16 2[14 3(5 4)2]

38.SPEED CHECKS A traffic officer used a radar gun and found that the speeds of several cars traveling on Main Street were:

38 mph, 42 mph, 36 mph, 38 mph, 48 mph, 44 mph

What was the mean (average) speed of the cars traveling on Main Street? [Section 1.9]

39.Graph the following integers on a number line.

[Section 2.1]

a. 2, 1, 0, 2

b. The integers greater than 4 but less than 2

40. Find the sum of 11, 20, 13, and 1. [Section 2.2]

Use signed numbers to solve each problem.

41.LIE DETECTOR TESTS A burglar scored 18 on a polygraph test, a score that indicates deception. However, on a second test, he scored 3, a score that is uncertain. Find the change in the scores.

[Section 2.3]

42.BANKING A student has $48 in his checking account. He then writes a check for $105 to purchase books. The bank honors the check, but charges the student an additional $22 service fee for being overdrawn. What is the student’s new checking account balance? [Section 2.3]

43.CHEMISTRY The melting point of a solid is the temperature range at which it changes state from solid to liquid. The melting point of helium is seven times colder that the melting point of mercury. If the melting point of mercury is 39° Celsius (a temperature scale used in science), what is the melting point of helium? (Source: chemicalelements.com) [Section 2.4]

44.BUYING A BUSINESS When 12 investors decided to buy a bankrupt company, they agreed to assume equal shares of the company’s debt of $660,000. How much debt was each investor responsible for? [Section 2.5]

Evaluate each expression. [Section 2.6]

45.5 ( 3)( 7)( 2)

46.2[ 6(5 13) 5]

10 ( 5)

47.

1 2 3

3( 6) 10

48.

32 42

49.34 6( 12 5 4)

50.15 2 0 3 4 0

51.2a 312b 3( 5)

52.92 ( 9)2

53.` 459 ( 9) `

4( 5) 2

54.

3 32

For Exercises 55 and 56, quickly determine a reasonable estimate of the exact answer. [Section 2.6]

55.CAMPING Hikers make a 1,150-foot descent into a canyon in 12 stages. How many feet do they descend in each stage?

56.RECALLS An automobile maker has to recall 19,250 cars because they have a faulty engine mount. If it costs $195 to repair each car, how much of a loss will the company suffer because of the recall?

Fractions and Mixed

Numbers

from Campus to Careers

School Guidance Counselor

School guidance counselors plan academic programs and the best courses to take to achieve their educational goals. Counselors often meet with students to discuss the life skills needed for personal and social growth. To prepare for this career, guidance counselors take classes in an area of mathematics called statistics, where they learn how to collect, analyze, explain, and present data.

In Problem 109 of Study Set 3.4, you will see how a counselor must be able to add fractions to better understand a graph that shows students’ study habits.

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