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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 inthe table for electrical work. If the lowest bidder wins,which company should be awarded the contract?[Section 1.1]

Datatel $2,189,413

Walton Electric $2,201,999

Advanced Telecorp $2,175,081

CRF Cable $2,174,999

Clark & Sons $2,175,801

Citrus Unified School District Bid 02-9899Cabling and Conduit Installation

3. NUCLEAR POWER The table gives the number ofnuclear power plants operating in the United Statesfor selected years. Complete the bar graph using thegiven data. [Section 1.1]

Num

ber

of o

pera

ble

U.S

. nuc

lear

pow

er p

lant

s

8070605040302010

90

1978

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

100110120

1983 1988 1993 1998 2003 2008

Bar graph

Year 1978 1983 1988 1993 1998 2003 2008

Plants 70 81 109 110 104 104 104

Vertical count180 threads

Horizontal count180 threads

Add. [Section 1.2]

5. 6.

Subtract. [Section 1.3]

7. 8.

9.

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

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

12. SHIPPING FURNITURE In a shipment of 147 pieces of furniture, 27 pieces were sofas,55 were leather chairs, and the rest were woodenchairs. Find the number of wooden chairs. [Section 1.3]

469� 237

132

39,506� 1,729

5,369� 685

6,375 � 2,569

8,9072,3457,899

� 5,237

1,237 � 68 � 549

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

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Multiply. [Section 1.4]

13. 14.

15.

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

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

3,100 � 7,000

9,183� 602

435 � 27

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

24. GARDENING A metal can holds 320 fluid ouncesof 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 breaddough to make dinner rolls. How many dinner rollscan he make from 15 pounds of dough? (Hint: Thereare 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 compositenumber, or neither. Then identify it as an evennumber or an odd number. [Section 1.7]

a. 17 b. 18

c. 0 d. 1

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

29. Write the expression using anexponent. [Section 1.7]

30. Evaluate: [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.

36. 37.42 � 2 � 3

2 � (32 � 3 � 2)264 � 4 � 7(4)2

16 � 2[14 � 3(5 � 4)2]

52 � 7

11 � 11 � 11 � 11

9�1,962 � 218

5 pixels

5 pi

xels

12 pixels

12 p

ixel

s

100 pixels

100

pixe

ls

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

2-2 Chapter 2 Cumulative Review

17 ft

35 ft

Divide. [Section 1.5]

19. 20.

21. 22. 350�9,80038�17,746

1,261 � 97701

8

© iS

tock

phot

o.co

m/A

ldo

Mur

illo

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38. SPEED CHECKS A traffic officer used a radar gunand found that the speeds of several cars traveling onMain Street were:

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

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

39. Graph the following integers on a number line.[Section 2.1]

a. , , 0, 2

b. The integers greater than but less than 2

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

Use signed numbers to solve each problem.

41. LIE DETECTOR TESTS A burglar scored on a polygraph test, a score that indicates deception.However, on a second test, he scored , a score that is uncertain. Find the change in the scores.[Section 2.3]

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

43. CHEMISTRY The melting point of a solid is thetemperature range at which it changes state from solidto liquid.The melting point of helium is seven timescolder that the melting point of mercury. If the meltingpoint of mercury is Celsius (a temperature scaleused in science), what is the melting point of helium?(Source: chemicalelements.com) [Section 2.4]

�39°

�3

�18

�13�11

−3−4 −2 −1 0 1 2

�4

−3 −2 −1 0 1 2 3

�1�2

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

Evaluate each expression. [Section 2.6]

45.

46.

47.

48.

49.

50.

51.

52.

53.

54.

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

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

56. RECALLS An automobile maker has to recall19,250 cars because they have a faulty engine mount.If it costs $195 to repair each car, how much of a losswill the company suffer because of the recall?

�4(�5) � 2

3 � 32

� ` 45�9

� (�9) `

�92 � (�9)2

2a�123b � 3(�5)

15 � 2 0�3 � 4 0

34 � 6(�12 � 5 � 4)

3(�6) � 10

32 � 42

10 � (�5)

1 � 2 � 3

�2[�6(5 � 13) � 5]

5 � (�3)(�7)(�2)

2-3Chapter 2 Cumulative Review

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