chapter 1, lesson 1 computing wagespehs.psd202.org/documents/ncress/1503505470.pdf ·...

© American Guidance Service, Inc. Permission is granted to reproduce for classroom use only. Consumer Mathematics

Name Date Period Activity

Chapter 1, Lesson 11

Computing Wages

Hours Rate Solution:

23 $6.42

The answer is $147.66.

$ 6.42� 23��

19 26�128 4��$147.66

EXAMPLE

Directions Compute the wages for each example below.

1. 10 $4.00 ____________________

2. 8 $5.35 ____________________

3. 21 $6.24 ____________________

4. 35 $7.98 ____________________

5. 13 $8.44 ____________________

6. 24 $17.90 ____________________

7. 8 $12.34 ____________________

8. 19 $56.78 ____________________

9. 17 $9.01 ____________________

10. 26 $8.89 ____________________

11. 38 $17.98 ____________________

12. 40 $15.62 ____________________

13. 15 $17.61 ____________________

14. 12 $22.82 ____________________

15. 18 $7.08 ____________________

16. 20 $35.67 ____________________

17. 26 $9.34 ____________________

18. 15 $10.92 ____________________

19. 27 $11.39 ____________________

20. 12 $14.45 ____________________

21. 26 $9.03 ____________________

22. 21 $16.55 ____________________

23. 38 $32.67 ____________________

24. 34 $8.99 ____________________

25. 15 $43.15 ____________________

26. 29 $17.66 ____________________

27. 34 $4.65 ____________________

28. 33 $9.78 ____________________

29. 36 $9.78 ____________________

30. 39 $14.54 ____________________

31. 40 $37.29 ____________________

32. 15 $5.63 ____________________

33. 16 $5.82 ____________________

34. 22 $11.88 ____________________

35. 28 $7.52 ____________________

36. 40 $6.98 ____________________

37. 35 $7.44 ____________________

38. 37 $4.61 ____________________

HoursWorked Rate Wages





Estimating Annual Wages

Hourly rate Estimated hours Solution:worked in a year

$13.48 2,000

The answer is $26,960.

$ 13.48� 2,000��$26,960.00

EXAMPLE

Directions Compute the annual wages for each example below.

1. Cook, fast food $6.24 ��

2. Cook,institution $7.89 ��

3. Cook,restaurant $8.05 ��

4. Cook,short order $7.48 ��

5. Food attendant $6.33 ��

6. Dishwasher $6.57 ��

7. Home health aide $8.21 ��

8. Nursing aide $8.29 ��

9. Pharmacy aide $8.76 ��

10. Veterinary assistant $7.60 ��

11. Medical assistant $10.89 ��

12. Dental assistant $11.24 ��

13. Massage therapist $11.01 ��

14. Physical therapy assistant $15.90 ��

15. Physical therapy aide $9.05 ��

16. Construction supervisor $20.71 ��

17. Boilermaker $18.09 ��

18. Carpenter $15.35 ��

19. Carpet installer $13.23 ��

20. Stonemason $15.36 ��

21. Pile driver operator $19.93 ��

22. Construction laborer $10.85 ��

23. Paving operator $12.45 ��

24. Floor layer $13.96 ��

25. Carpenter’s helper $9.61 ��

26. Electrician’s helper $9.89 ��

27. Painter’s helper $8.95 ��

28. Roofer $12.94 ��

29. Telephone operator $13.66 ��

30. Payroll clerk $12.37 ��

31. Teller $8.60 ��

32. Receptionist $9.26 ��

33. Hotel desk clerk $7.54 ��

34. Executive secretary $14.21 ��

35. Medical secretary $10.95 ��

36. Legal secretary $15.04 ��

37. Computer operator $12.70 ��

38. Word processor $11.29 ��Source: http://www.bls.gov/oes/1999/oes_43Of.htm

Job Title Hourly AnnualRate Wages

Job Title Hourly AnnualRate Wages




Working with Time Cards

Alfredo is a nurse at the hospital. On Sunday he arrived at 6:15 A.M.and took a lunch break from 11:20 A.M. to 12:20 P.M. Alfredo left for the day at 3:15 P.M. How long did Alfredo work?

This is Alfredo’s time card

Solution: (Rename 1 hour to 60 minutes.(20 min. of afternoon) � 15 � 60 � 75 minutes.)

� � 7:60 � 8 hours

Alfredo worked 8 hours.

EXAMPLE

Morning Afternoon

In Out In Out

6:15 11:20 12:20 3:15

Morning Afternoon

In Out In Out

Morning Afternoon

In Out In Out

11:20� 6:15��

5:05

3:15� :20��

2:75� :20��

2:55

Directions Compute the total time worked each day. Rename 60 minutesto one hour if necessary.

1. 8:15 11:37 12:07 5:15 ___________

2. 7:21 12:34 1:34 4:44 ___________

3. 8:12 12:56 1:35 5:52 ___________

4. 8:55 10:55 12:01 6:10 ___________

5. 4:45 9:01 12:55 5:26 ___________

6. 8:57 11:45 12:30 5:15 ___________

7. 6:23 11:10 1:56 5:53 ___________

8. 7:15 12:10 12:45 6:22 ___________

9. 8:05 11:55 12:50 5:43 ___________

10. 9:03 12:00 1:00 4:45 ___________

11. 10:00 12:45 1:15 7:44 ___________

12. 9:45 12:00 1:00 6:15 ___________

13. 7:48 11:40 12:20 6:12 ___________

14. 8:22 12:06 2:25 3:58 ___________

15. 5:04 11:28 1:20 2:47 ___________

16. 8:21 11:10 12:15 5:00 ___________

17. 6:04 12:01 1:05 4:00 ___________

18. 8:29 11:55 12:35 5:00 ___________

19. 7:21 12:16 12:45 4:05 ___________

20. 8:04 12:01 12:55 6:03 ___________

21. 6:56 11:55 12:30 5:20 ___________

22. 9:00 12:56 1:30 4:15 ___________

23. 5:45 11:50 1:55 6:00 ___________

24. 10:02 12:00 1:00 5:00 ___________

25. 6:44 11:55 12:45 4:35 ___________

26. 9:02 12:50 1:34 6:15 ___________

27. 8:49 11:53 1:29 4:58 ___________

28. 7:51 12:39 1:55 6:02 ___________

29. 9:08 11:30 12:45 7:22 ___________

30. 7:10 12:00 1:58 4:15 ___________

TimeWorked

TimeWorked




Overtime Rates

Lamaj earns $6.65 per hour. What are his overtime rates?

Time and a half Double time

Lamaj’s time and a half rate is $9.975 and his double time rate is $13.30.

EXAMPLE

$ 6.65� 1.5��

3 325� 6 65��$ 9.975

$ 6.65� 2��$13.30

Directions Find the time and a half and the double time rates for eachhourly rate. Do not round answers.

Overtime Rates

Hourly Rate Time and a Half Double Time

1. $5.15 ________________________________ ____________________________________

2. $6.50 ________________________________ ____________________________________

3. $9.54 ________________________________ ____________________________________

4. $10.50 ________________________________ ____________________________________

5. $8.25 ________________________________ ____________________________________

6. $7.55 ________________________________ ____________________________________

7. $9.04 ________________________________ ____________________________________

8. $11.78 ________________________________ ____________________________________

9. $9.60 ________________________________ ____________________________________

10. $5.75 ________________________________ ____________________________________

11. $12.22 ________________________________ ____________________________________

12. $8.95 ________________________________ ____________________________________

13. $13.48 ________________________________ ____________________________________

14. $17.50 ________________________________ ____________________________________

15. $22.58 ________________________________ ____________________________________

16. $14.92 ________________________________ ____________________________________




Working Overtime

Terri, a desktop publisher, earns $14.12 per hour for a 40-hour week. After 40 hours she earns time and a half. Last week she worked 52 hours. She computed her pay:

Step 1 Step 2 Step 3

Step 4

Regular WagesOvertime Wages

$ 564.80� 254.16��$ 818.96

Overtime RateOvertime Hours

$ 21.18� 12��

42 36� 211 8��$ 254.16

Hourly Rate(Time and a half)

$ 14.12� 1.5��

7 060� 14 12��$ 21.18

Hourly Rate40 HoursRegular Wages

$ 14.12� 40��$564.80

EXAMPLE

Directions Compute the total wages. Use time and a half for any time over 40 hours.

1. 45 $5.15 ______________________

2. 42 $6.24 ______________________

3. 58 $7.89 ______________________

4. 50 $8.05 ______________________

5. 60 $7.48 ______________________

6. 47 $6.38 ______________________

7. 56 $6.57 ______________________

8. 62 $8.21 ______________________

9. 44 $8.29 ______________________

10. 55 $8.76 ______________________

11. 61 $7.60 ______________________

12. 48 $10.89 ______________________

13. 56 $11.24 ______________________

14. 48 $11.01 ______________________

15. 42 $15.19 ______________________

16. 66 $20.71 ______________________

17. 48 $18.09 ______________________

18. 45 $15.36 ______________________

19. 58 $13.25 ______________________

20. 49 $15.36 ______________________

21. 57 $19.98 ______________________

22. 42 $10.85 ______________________

23. 68 $12.45 ______________________

24. 80 $13.96 ______________________

25. 44 $9.61 ______________________

26. 54 $9.89 ______________________

27. 58 $8.95 ______________________

28. 46 $12.94 ______________________






Compute Earnings that Include Tips

Corinne is a bellhop at a hotel downtown. She earns $4.50 an hour plus tips.

In one 40-hour workweek she earned $330.00 in tips. Find her total income for the week.

Step 1 Find weekly wages Step 2 Add tips to weekly wages

Corinne’s total income is $510.00.

Weekly wagesTipsTotal income

$ 180.00� 330.00��$ 510.00

Hourly wageHours workedWeekly wages

$ 4.50� 40��$180.00

EXAMPLE

Directions Compute the answers to these problems. Write your answer on the line.

1. Derek works 40 hours as a skycap. He earns $2.50 per hour plus tips.In one week, he earned $250.00 in tips. What was Derek’s totalincome? ______________________

2. Lisa waits tables in the local diner. In one week she worked 32 hoursand earned $425.00 in tips. If she earns $2.25 per hour wage, what washer total income? ______________________

3. Marti washes windows in an apartment complex for $6.25 per hour.One week residents were so happy with her work that they tipped heran additional $126.00. In her 40-hour week, what did she earn?______________________

4. Tashia shampoos hair part time in the beauty shop. She earns $5.15per hour for 20 hours a week. If her customers tipped her $30.00 inone week, what was her total income? _____________________

5. Marcell dries cars at the car wash. He earns $5.15 per hour for 40hours and earns an average of $250.00 in tips. What is his totalincome? ______________________

6. Calvin delivers pizza 20 hours a week and earns about $8.00 in tipsper hour. In addition he earns an hourly wage of $2.75. What is hisaverage total income? ______________________




Weekly Wages for Piecework

Karl paints magnets. He earns $0.45 for each piece that he makes. How much will he earn this week?

Piece Rate$0.45

Solution:

Karl will earn $206.55.

Weekly ProductionPiece Rate

Wages

459$ .45��

22 95183 6��

$206.55

8599

1097393��

459

EXAMPLE

Directions Compute the wages for each example below.

Daily Production

M T W Th F Piece Rate Wages

1. 12 13 13 10 10 $4.10 _____________

2. 35 36 32 37 37 $0.79 _____________

3. 33 34 31 33 32 $0.84 _____________

4. 14 12 17 15 16 $3.62 _____________

5. 10 8 5 7 7 $3.06 _____________

6. 7 8 12 10 10 $4.16 _____________

7. 15 16 9 12 9 $3.75 _____________

8. 17 16 20 19 17 $2.50 _____________

9. 19 22 19 18 18 $2.25 _____________

10. 12 11 15 13 16 $2.76 _____________

11. 8 9 4 6 9 $3.87 _____________

12. 10 14 19 17 17 $4.19 _____________

13. 17 18 12 16 19 $2.61 _____________

Weekly Production

Daily Production

M T W Th F

85 99 109 73 93




Rounding Money

Tony wants to leave a tip for the good service. His bill is $124.78. A customary 15% tip is $18.717. Round to the nearest cent, dime and dollar.

Key Digit Add 1? Drop remaining digits.Cent: $18.71

�7 $18.72

�7 $18.72

Dime: $18.7�17 $18.7

�17 $18.70 Hold cents place with zeros.

Dollar: $18�.717 $19

�.717 $19

Tony may leave a tip of $18.72, $18.70 or $19.00.

EXAMPLE

1. $5.1506 ______ ______ ______

2. $6.5068 ______ ______ ______

3. $9.5498 ______ ______ ______

4. $10.5002 ______ ______ ______

5. $8.2538 ______ ______ ______

6. $7.5547 ______ ______ ______

7. $9.048 ______ ______ ______

8. $11.7855 ______ ______ ______

9. $9.609 ______ ______ ______

10. $5.750 ______ ______ ______

11. $312.2242 ______ ______ ______

12. $378.9567 ______ ______ ______

13. $613.4899 ______ ______ ______

14. $17.5004 ______ ______ ______

15. $22.3976 ______ ______ ______

16. $14.9991 ______ ______ ______

17. $101.665 ______ ______ ______

18. $19.4124 ______ ______ ______

19. $123.4506 ______ ______ ______

20. $12.0000 ______ ______ ______

21. $5.1506 ______ ______ ______

22. $6.5068 ______ ______ ______

23. $9.5498 ______ ______ ______

24. $10.5002 ______ ______ ______

25. $8.2538 ______ ______ ______

26. $14.9991 ______ ______ ______

Key Digit

Cent Dime Dollar

Key Digit

Cent Dime Dollar

Key Digit

Cent Dime Dollar

Key Digit

Cent Dime Dollar

Directions Round each amount to the nearest cent, dime and dollar.

Directions Round each amount to the next cent, dime and dollar.



Salary

Tyler is quoted an annual salary of $60,000. He has the option of several pay periods. Find the amount he would receive in each pay period.

Pay Period Weekly Biweekly Semimonthly Monthly Quarterly SemiannuallyNumber of pays 52 26 24 12 4 2

Tyler is paid either $1,153.85 weekly, $2,307.69 biweekly, $ 2,500 semimonthly, $5,000 monthly, $15,000 quarterly or $30,000 semiannually.

$30,0002 ��$�6�0�,0�0�0�

$15,0004 ��$�6�0�,0�0�0�

$5,00012 ��$�6�0�,0�0�0�

$2,50024 ��$�6�0�,0�0�0�

$2,307.6926 ��$�6�0�,0�0�0�.0�0�

$1,153.8552 ��$�6�0�,0�0�0�.0�0�

EXAMPLE

Directions Complete the following chart. Find the amount earned during each pay period. Round answers to the nearest cent.

Worker Annual Salary Weekly Biweekly Semimonthly Monthly Quarterly Semiannually

52 pay periods 26 pay periods 24 pay periods 12 pay periods 4 pay periods 2 pay periods

1. Joseph $46,800 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––

2. Sarah $62,400 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––

3. Nicholas $124,800 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––

4. Elizabeth $24,960 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––

5. Anthony $21,840 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––

6. Kayla $187,200 –––––––––– –––––––––– –––––––––– –––––––––– –––––––––– ––––––––––



EXAMPLE



Renaming Percents as Decimals

75%

Move the decimal point two places to the left. 75% � 0.75.

Remove the %.

Write a zero in the ones place.

Answer: 75% � 0.75

1. 25% � _____________________________

2. 33 �13

� % � ___________________________

3. 5.6% � _____________________________

4. 66 �23

� % � ___________________________

5. 99 �14040

� % � __________________________

6. 37 �12

� % � ___________________________

7. 3.6% � _____________________________

8. 37.5% � ____________________________

9. 50% � _____________________________

10. 100% � ____________________________

11. 155% � ____________________________

12. 150% � ____________________________

13. 87% � _____________________________

14. 9999% � ____________________________

15. 56.4% � ____________________________

16. 64.3% � ____________________________

17. 325% � ____________________________

18. 6.43% � ____________________________

19. 0.05% � ____________________________

20. 0.643% � ___________________________

21. 0.01% � ____________________________

22. 0.0643% � __________________________

23. 10 �15

� % � ___________________________

24. 20 �23

� % � ___________________________

25. 65 �18

� % � ___________________________

26. 16 �23

� % � ___________________________

27. 17 �16

� % � ___________________________

28. 105% � ____________________________

29. 309% � ____________________________

30. 30 �170� % � ___________________________

31. 40 �19

� % � ___________________________

32. 3 �18

� % � ____________________________

EXAMPLE 3.5% or 3 �12

� %

3.5% � 0.03.5

3 �12

� % � 0.03.�12

�

Write zeros to hold the decimal places, if necessary.

Answer: 3.5% � 0.035 or 0.03 �12

�

Directions Rename each percent as a decimal.




Earning Commission

Lolita sells jewelry: She earns a 5% commission on her sales up to her quotaof $25,000. Lolita earns a 9% commission on all sales beyond $25,000. Lastweek her sales were $32,099. How much did she earn?

Quota Rate Sales Bonus Rate25,000 5% $32,099 9%

Step 1 Step 2 Step 3 Step 4

Lolita earned $1,888.91.

$1,250.00� 638.91��$1,888.91

$ 7,099� .09��$638.91

$ 32,099� 25,000��$ 7,099

$25,000� .05��$ 1,250

EXAMPLE

Directions Compute the total commission for each example below.Add the bonus commission to the regular commission

BonusQuota Rate Sales Rate Total Commission

1. $5,000 10% $5,150 15% ––––––––––––––––––––––––

2. $2,500 9% $6,709 13% ––––––––––––––––––––––––

3. $4,000 10% $3,765 15% ––––––––––––––––––––––––

4. $10,000 6% $12,497 9% ––––––––––––––––––––––––

5. $6,500 8% $7,298 12% ––––––––––––––––––––––––

6. $9,600 7% $12,152 10% ––––––––––––––––––––––––

7. $3,500 5% $7,025 7% ––––––––––––––––––––––––

8. $10,000 9% $9,379 15% ––––––––––––––––––––––––

9. $3,750 8% $5,098 11% ––––––––––––––––––––––––

10. $2,100 4% $3,769 7% ––––––––––––––––––––––––

11. $8,500 5% $11,123 11% ––––––––––––––––––––––––

12. $7,600 3% $6,848 10% ––––––––––––––––––––––––

13. $1,900 4% $37,155 10% ––––––––––––––––––––––––

14. $4,500 8% $6,794 12% ––––––––––––––––––––––––

Regular Commission

Regular Commission

Bonus Commission

Total CommissionBonus Commission




Salary Plus Commission

Jessica sells designer clothing in a department store. She earns a weekly salary of $156 plus a commission of 0.5% on all her sales. Last week her sales were $121,317. What did she earn?

Step 1 Step 2 SalaryCommissionTotal earnings

$ 156.00� 606.59��$ 762.59

SalesRate of commissionCommission

$121,317� .005��$606.585

EXAMPLE

Directions Find the commission and total earnings for the sales listed below.

Rate of Salary TotalTotal Sales Commission Earned Commission Earnings

1. $40,000 4% $600 ________________ ________________

2. $214,000 1.5% $150 ________________ ________________

3. $150,000 8.4% $250 ________________ ________________

4. $1,500,000 0.5% $100 ________________ ________________

5. $12,678 3.6% $350 ________________ ________________

6. $80,000 6.4% $150 ________________ ________________

7. $25,876 2.7% $240 ________________ ________________

8. $80,000 3.56% $170 ________________ ________________

9. $90,000 1.45% $290 ________________ ________________

10. $56,987 5% $200 ________________ ________________

11. $12,860 4.8% $75 ________________ ________________

12. $4,600 3.9% $125 ________________ ________________

13. $22,567 1.8% $79 ________________ ________________

14. $40,500 2.75% $250 ________________ ________________

15. $1,000,000 1.82% $120 ________________ ________________

16. $5,783 4.5% $99 ________________ ________________

17. $78,123 2.21% $205 ________________ ________________

18. $44,300 1.51% $112 ________________ ________________


EXAMPLE



Addition of Decimals

3 � 2.4 � 0.06 �

Write this: 3 3.002.4 OR 2.40

� .06 � 0.06�� 5.46 5.46

4 � 0.35 � 1.082 �

Write this: 4.0000.350

� 1.082��5.432

1. 8.122.76

� .86��

2. 3.015.615

84.059� 2.1912��

3. 6.190.15

� 6.907��

4. 10.0153.678

62.15� 6.1��

5. 3.15010.6291

1.07� 4.48��

6. 1.100.671

14.02� 6.792��

7. 0.6110.76130.9456

� 2.28��

8. 3.9.667.365

� 101.2��

9. 94.03177.6

0.5721� 10��

10. 2.7632.071

.2� 9.8862��

11. 3.6.07

325.123� 9,065.1��

12. .059306.761

88.98� 6.1��

Helpful Hints

a. Remember that the number 3 can be expressed as a decimal, that is, 3 � 3.0 � 3.00.

b. Remember that the decimal points must belined up before you begin to add.

c. Remember to place the decimal point in thesum as shown in the examples.

d. Remember to place zeros in the addends tohelp with the addition.

Directions Write these in the vertical form and add.

13. 1.1 � 4.09 � 7.011 � __________________

14. 16 � 1.7 � 3.965 � ___________________

15. 6.6 � 0.2 � 10.51 � ___________________

16. 16.5 � .32 � 9 � _____________________

17. 44.8 � 10 � 6.7 � ____________________

18. 27.15 � 8.7 � 2 � ____________________

Directions Add. Place zeros in the addends.




Expressing Prices

Newspaper ads for food stores often report prices in both dollars and cents. To compare prices we must be able to express prices in both cents and dollars.

Express $0.69 in cents. Express 79¢ in dollars.$0.69 � 69¢ 79¢ � $0.79

Some prices are quoted in fractions of a cent, such as $1.015. To express this amount in cents, move the decimal point two places to the right.

$1.015 � 101.5¢

EXAMPLE

Directions Express these prices in dollars and cents. It is important to use the correct symbol in the price.

Cents Dollars

1. 35¢ _______

2. _______ $0.99

3. 64¢ _______

4. _______ $1.49

5. _______ $1.64

6. 89¢ _______

7. _______ $2.19

8. _______ $0.78

9. _______ $2.29

10. 79¢ _______

Cents Dollars

11. 101.9¢ _______

12. _______ $0.625

13. 99.9¢ _______

14. _______ $2.824

15. 9¢ _______

16. _______ $5.672

17. .05¢ _______

18. _______ 392

19. .99¢ _______

20. _______ 149




Reading Prices

It is not unsual to see food prices written without the dollar sign, $, or the cents sign, ¢. Most of the time it is easy to understand what the price is.

A. 67¢ B. $0.67 C. .67 All three prices mean sixty-seven cents.

However, every so often a mistake is made and a price is listed incorrectly. In the following list, which price is not the same value as the other three?

A. 259¢ B. $2.59 C. $259 D. 259 E. 2.59

Price C is not the same. Price C represents two hundred fifty-nine dollars.

Prices A, B, D and E all represent two dollars and fifty-nine cents.

EXAMPLE

Directions In each row, write the letter of the price that is not equal to the other three.

A B C D

1. 58¢ $0.58 .58¢ .58 –––––––––

2. $2.06 2.06¢ 206¢ 206 –––––––––

3. $0.43 43¢ .43 $43 –––––––––

4. .06¢ $0.06 .06 6¢ –––––––––

5. .89 89¢ 8.9¢ $0.89 –––––––––

6. 61¢ 6.1¢ .61 $0.61 –––––––––

7. $46 .46 $0.46 46¢ –––––––––

8. 97¢ 9.7¢ .97 $0.97 –––––––––

9. $17 .17 $0.17 17¢ –––––––––

10. 6¢ .6¢ $0.06 .06 –––––––––

11. $2.08 $208 2.08 208 –––––––––

12. 681 $6.81 $0.681 6.81 –––––––––

13. 6.11 $611 $611 $6.11 –––––––––

14. $351 3.51 $3.51 $351 –––––––––

15. 1¢ .01 $0.01 .01¢ –––––––––

16. $499 499 $499 $4.99 –––––––––




Adding Prices

Marlett bought four items at the food store. He decided to add up the totalcost before going to the checkout to check that he had enough cash withhim. He had $13.56 in his pocket.

The packages were marked as follows: 499 .59 356 $2

Step 1 Write all the prices in a column, Step 2 Add the amounts.aligning the decimal points.

Marlett had enough cash to pay for the food.

$4.99.59

3.562.00��

$11.14

$4.99.59

3.562.00��

EXAMPLE

Directions Find the total of the prices.

TotalItem 1 Item 2 Item 3 Item 4 Cost

1. 199 439 357 249 _______

2. 32¢ $2 3.06 149 _______

3. .56 42¢ .29 3.59 _______

4. .79 .99 $5 249 _______

5. 149 .64 699 199 _______

6. .99 9.99 164 249 _______

7. .58 .79 .99 519 _______

8. 187 1.87 1.49 1.89 _______

9. 599 299 499 399 _______

10. 2.34 119 124 $5 _______

11. $4.78 3.99 $7 47¢ _______

12. .32 .45 78¢ 99¢ _______

13. 2.50 1.50 $3 $4 _______

14. 2.49 4.49 5.19 129 _______




Computing Change

Jermaine paid for purchases of $13.65 with a $20.00 bill. Compute his change.

Jermaine’s change was one dime, one quarter one $1.00 bill, and one $5.00 bill.

EXAMPLE

Directions Compute the change for each of these purchases.The answer to Number 1 is 1 quarter.

PurchasePrice Cash Change

1. $9.75 $10 ______________________________________

2. $3.42 $5 ______________________________________

3. $19.15 $20 ______________________________________

4. $5.00 $10 ______________________________________

5. $6.13 $10 ______________________________________

6. $14.26 $20 ______________________________________

7. $17.91 $18 ______________________________________

8. $8.09 $10 ______________________________________

9. $14.76 $15 ______________________________________

10. $8.19 $10 ______________________________________

11. $8.92 $9 ______________________________________

12. $6.58 $20 ______________________________________

13. $10.96 $20 ______________________________________

14. $8.10 $20 ______________________________________

15. $5.38 $20 ______________________________________

16. $2.21 $5 ______________________________________

Do not give more than

1 nickel2 dimes3 quarters4 pennies4 $1.00 bills, or1 $5.00 bill


EXAMPLE

Subtraction of Decimals

3.63 � 0.734 �

Write this: 3.630� .734��

2.896

8 � 0.631 �

Write this: 8.000� .631��

7.369



EXAMPLE

Helpful Hints

a. Remember to fill places in the minuend and subtrahend with zeros when necessary.

a. Remember to keep the decimalpoints lined up.

1. 16.32� 2.9��

2. 6� .943��

3. 10.5� .28��

4. .5� .25��

5. 77.89� .981��

6. 39.95� 3.99��

7. 16� 1.6005��

8. 365.25� 8.8��

9. 7.057� .69��

10. 6� .6��

11. 14� .152��

12. 10� .017��

13. 36� 8.125��

14. 8� 5.336��

15. 402.9� 16.179��

16. 79.84� 7.984��

Directions Write these in the vertical form and subtract.

17. 42.3 � 5.64 � ________________________

18. 16 � 0.72 � _________________________

19. 53.6 � 9.605 � _______________________

20. 5 � 1.79 � __________________________

21. 36.5 � 2.6051 � ______________________

22. 46.776 � 9.8015 � ____________________

23. 9.456 � 8 � _________________________

24. 0.9003 � 0.0137 � ____________________

Directions Insert zeros and subtract.

Insert a zero here.

Insert zeros here.




Coupons for More than One

Bob has a coupon that offers a savings of $1.00 on any 3 frozen pizzas. Each pizza is marked $4.29. How much will the 3 pizzas cost with the coupon?

Step 1 Multiply Step 2 Subtract

The pizzas will cost $11.87.

$12.87� 1.00��$11.87

$ 4.29� 3��$12.87

EXAMPLE

Directions For each set of items, find the cost when a coupon is used.

Price for Item 1 Item Coupon Value Cost

1. Orange juice $1.89 50¢ on 2 cartons ____________

2. Chicken noodle soup 39¢ 40¢ on 8 cans ____________

3. Laundry soap $4.69 $1.25 on 2 jugs ____________

4. Tuna fish 55¢ 25¢ on 4 cans ____________

5. Salad dressing 99¢ 25¢ on 3 jars ____________

6. Syrup $1.89 35¢ on 2 bottles ____________

7. Apple juice $1.59 20¢ on 2 bottles ____________

8. Tea bags $1.99 25¢ on 4 boxes ____________

9. Donuts $2.19 50¢ on 3 boxes ____________

10. Instant oatmeal $2.49 35¢ on 2 boxes ____________

11. Bath soap $1.89 60¢ on 8 bars ____________

12. Dog biscuits $2.29 40¢ on 3 boxes ____________

13. Pudding cups $3.29 80¢ on 3 packs ____________

14. Cat food $2.99 30¢ on 2 bags ____________

15. Canned fruit 89¢ 15¢ on 4 cans ____________

16. Soda $3.79 50¢ on two 8-pack bottles ____________

17. Ketchup 99¢ 25¢ on 2 bottles ____________




Weights and Measures for Food

Elijah reads this net weight on his can of peaches: 1 lb 13 oz. What does it tell him?

Remember: the abbreviation for pound: lbthe abbreviation for ounce: oz There are 16 ounces per pound.

Elijah learns that the can holds almost 2 pounds of peaches.

There is another number on the label for net weight, 822g. What does that tell him?

Elijah learns that g is the metric symbol for gram.

Elijah learns that the can holds over 800 grams of peaches.

EXAMPLE

Directions Write the words for these abbreviations or symbols.

Abbreviationor symbol Word

1. lb ____________

2. oz ____________

3. doz ____________

4. g ____________

5. l ____________

6. ml ____________

7. kg ____________

8. mg ____________

Abbreviationor symbol Word

9. ____________ milliliter

10. ____________ gram

11. ____________ dozen

12. ____________ fluid ounce

13. ____________ milligram

14. ____________ pound (symbol)

15. ____________ kilogram

16. ____________ ounce




Expiration Dates

Many store coupons can be used only for a limited time. The expirationdate shows when the coupon offer expires, or comes to an end.

Mark cut from the newspaper a coupon for diapers that expires at theend of May. If today’s date is January 2, how much longer may he usethe coupon? Since January has just begun, count it as one month. Countone month each for February, March, April and May. Mark has fivemonths to use the coupon: January - May.

EXAMPLE

Directions How much longer may each coupon be used?

Current Date Expiration Date on Coupon

1. August 1, 2003 December 31, 2003 ____________________

2. May 15, 2003 August 31, 2003 ____________________

3. November 10, 2003 June 15, 2004 ____________________

4. February 15, 2003 November 30, 2003 ____________________

5. August 30, 2003 November 15, 2003 ____________________

6. July 2, 2003 June 28, 2004 ____________________

7. November 28, 2003 May 31, 2004 ____________________

8. October 31, 2003 December 31, 2003 ____________________

9. December 18, 2004 February 14, 2005 ____________________

JANUARY FEBRUARY MARCH APRILS M T W T F S S M T W T F S S M T W T F S S M T W T F S

2 3 21 3 4 5 6 7 21 3 4 5 6 7 21 3 44 5 6 7 8

19 10 8 9 10 11 12 13 14 8 9 10 11 12 13 14 5 6 7 8 9 10 11

11 12 13 14 15 16 17 15 16 17 18 19 20 21 15 16 17 18 19 20 21 12 13 14 15 16 17 1818 19 20 21 22 23 24 22 23 24 25 26 27 28 22 23 24 25 26 27 28 19 20 21 22 23 24 2525 26 27 28 29 30 31 29 30 31 26 27 28 29 30

MAY JUNE JULY AUGUSTS M T W T F S S M T W T F S S M T W T F S S M T W T F S

1 2 1 2 3 4 5 6

30 31

1 2 3 4

30 3129

13 4 5 6 7 8 9 7 8 9 10 11 12 13 5 6 7 8 9 10 11 2 3 4 5 6 7 8

10 11 12 13 14 15 16 14 15 16 17 18 19 20 12 13 14 15 16 17 18 9 10 11 12 13 14 1517 18 19 20 21 22 23 21 22 23

29 3024 25 26 27 19 20 21 22 23 24 25 16 17 18 19 20 21 22

24 25 26 27 28 29 30 28 26 27 28 29 23 24 25 26 27 2831

SEPTEMBER OCTOBER NOVEMBER DECEMBERS M T W T F S S M T W T F S S M T W T F S S M T W T F S

4 5

26 27 28

1 2 3 21 3 4 5 6 7 2 3 46 7 8 9 10 11

1 2 312 4 5 6 7 8 9 10 8 9 10 11 12 13 14

57 8 9

110 11 12

13 14 15 16 17 18 19 11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 1920 21 22 23 24 25 26 18 19 20 21 22 23 24

29 30 3122 23 24 25 26 27 28 20 21 22 23 24 25 26

27 28 29 30 25 29 30 27 28 29 30 31

6


EXAMPLE



Division of Whole Numbers with Remainders

3,259 � 9 � 7,006 � 17 � 7,543 � 26 �

Write this: Write this: Write this:

Remember to write the remainder over the divisor.

EXAMPLE EXAMPLE

362 �19

�

9 ��3�,2�5�9�� 2 7��

55� 54��

19� 18��

1

412 �127�

17 ��7�,0�0�6�� 6 8��

20� 17��

36� 34��

2

290 �236�

26 ��7�,5�4�3�� 5 2��

2 34� 2 34��

3

1. 6 ��3,�25�3�

2. 8 ��3,�72�3�

3. 11 ��3,�60�4�

4. 7 ��6,�42�5�

5. 27 ��17�,9�97�

6. 19 ��6,�89�8�

7. 9 ��3,�05�6�

8. 21 ��11�,5�69�

9. 41 ��17�,1�00�

10. 84 ��8,�99�9�

11. 56 ��23�,4�09�

12. 15 ��20�,1�82�

Directions Write these in the standard form and divide.

13. 25,761 � 14 � 14. 65,412 � 25 � 15. 40,109 � 36 �

Directions Divide.




The Key to Using Per

A. Boxes per case �bcoaxsees

� cases ��b�o�x�e�s�

B. Days per job �djoaybs

� job ��d�a�ys�

C. 59 percent �15090

�

Remember that percent means “per hundred.”

.59100 ��5�9�.0�0�

EXAMPLE

Directions Rewrite each of the following expressions. Use the words “divided by” to replace per. Then set up the division problems.

1. Teachers per student ________________________________ ��

2. Offices per floor ________________________________ ��

3. Rolls per pack ________________________________ ��

4. Ice cream cones per box ________________________________ ��

5. Seats per event ________________________________ ��

6. Hours per job ________________________________ ��

7. 25% ________________________________ ��

8. Cost per ounce ________________________________ ��

9. Windows per house ________________________________ ��

10. Adults per child ________________________________ ��

11. Oranges per case ________________________________ ��

12. 80% ________________________________ ��

13. Eggs per box ________________________________ ��

14. Miles per town ________________________________ ��

15. Wages per task ________________________________ ��

16. Tips per table ________________________________ ��

17. Apples per bushel ________________________________ ��

18. Days per month ________________________________ ��

19. Cars per lot ________________________________ ��


EXAMPLE



Division of Decimals

18.4 � 8 � 0.768 � 1.6 �

Write this: Write this:

EXAMPLE Steps to Remember

a. Move the decimal point in the divisor to the right.

b. Move the decimal point in the dividend the same number of places.

c. Then place a decimal point straight above it in the quotient.

2.38 ��1�8�.4�� 16��

2 4� 2 4��

.481.6. ��0�.7�.6�8�

� 6 4��1 28

� 1 28��

Directions Divide.

1. 7 ��32�.2�

2. 6 ��4.�38�

3. 9 ��46�.8�

4. 12 ��32�.4�

5. 3.1 ��14�.2�6�

6. 8.4 ��64�6.�8�

7. 0.10 ��0.�17�

8. 2.7 ��5.�15�7�

9. 0.05 ��2.�6�

10. 0.76 ��1.�23�12�

11. 0.55 ��10�.4�5�

12. 0.879 ��9.�93�27�

13. 0.62 ��0.�26�10�2�

14. 0.08 ��0.�09�84�

15. 1.05 ��95�.5�5�

16. 60.3 ��1,�27�2.�33�


17. 0.002184 � 0.0012 � __________________

18. 7.236 � 0.18 � _______________________

19. 0.07261 � 0.53 � _____________________

20. 0.9844 � 0.92 � ______________________

21. 0.1188 � 0.044 � _____________________

22. 0.07854 � 0.77 � _____________________

Dividend

Quotient

Divisor


EXAMPLE



Rounding the Quotient

Round to the nearest tenth. Round to the nearest hundredth.8 � 0.9 � 0.89 � 2.3 �

Write this: Write this:

Reminder: It may be necessary to write zeros in the dividend.

EXAMPLE

8.88 � 8.90.9 ��8�.0� 0�0�

� 7 2��8 0

� 7 2��80

� 72��8

0.386 � 0.392.3 ��0�.8� 9�0�0�

� 6 9��2 00

� 1 84��160

� 138��22

Directions Divide. Round to the place indicated.

1. Tenth

0.8 ��7�

2. Hundredth

0.08 ��9.�46�6�

3. Hundredth

80 ��3�

4. Thousandth

6.8 ��6.�9�

5. Hundredth

3.8 ��5.�0�

6. Tenth

0.5 ��0.�48�

7. Hundredth

2.6 ��0.�28�

8. Hundredth

0.31 ��2.�65�

9. Thousandth

0.06 ��4�

10. Hundredth

7.2 ��0.�73�

11. Hundredth

10.2 ��14�.4�

12. One

0.48 ��2.�08�

13. Hundredth

14.2 ��13�.6�

14. Tenth

18 ��20�

15. Thousandth

12 ��4�

16. Hundredth

24 ��2.�90�

Directions Write these in the standard form and divide. Round the quotients to the nearest hundredth.

17. 10.2 � 15.2 � ________________________

18. 3.4 � 0.32 � _________________________

19. 0.43 � 0.68 � ________________________

20. 10 � 0.64 � _________________________

Zeros may be inserted

one at a time until the

desired number of places

is reached for rounding.




Comparing Unit Prices

Bennett compares different brands of a product to decide which is the best buy. Which size has the lower unit price?

Brand A weighs 12.5 oz. Its price is $1.59Brand B weighs 22.5 oz. Its price is $3.29

Step 1 Divide cost by weight. Step 2 Compare cost per pound.

Brand A Brand A unit price: 12.7¢ per oz.

Brand B Brand B unit price: 14.6¢ per oz.

Brand A has the lower unit price. If the quality is equal in both products,then the best buy is A.

$.14622.5 ��3�.2�9�

$.12712.5 ��1�.5�9�

EXAMPLE

Directions Find the unit price of each product. Circle the lowest unit price in each set. Use the back of the paper to list any patterns you see in the exercises.

Product A B C D

1. Soup 15 oz., 169 12 oz., 139 20 oz., 189 48 oz., 309

_____________ _____________ _____________ _____________

2. Jelly 12 oz., $1.58 15 oz., $1.79 22 oz., $1.99 48 oz., $3.75

_____________ _____________ _____________ _____________

3. Peanut butter 12 oz., $1.59 18 oz., $1.99 26 oz., $2.49 48 oz., $3.29

_____________ _____________ _____________ _____________

4. Ketchup 12 oz., $1.79 24 oz., 199 36 oz., 249 3lb., $2.88

_____________ _____________ _____________ _____________

5. Ice cream 64 oz., $4.99 40 oz., $3.99 28 oz. $2.99 12 oz., 89¢

_____________ _____________ _____________ _____________




Mentally Calculating the Bill

Dylan, Destiny, Luis, Marcus, Juan, and Ariana all have dinner at the PizzaRestaurant. The bill comes to $80, which they decide to split 6 ways.They also decide to give a 15% tip to the server. Mentally calculate thetip and the amount due from each diner.

Step 1 Calculate the tip Step 2 Divide by the number of diners.and add it to the bill. Round to the nearest 10 cents.

$80 � 10% � $92 � 6 = $15.30$8 � 2 �

$80 + $12 � $92

Each person will pay $15.30.

EXAMPLE

Directions Find the 15% tip for each bill. Add the tip to the bill to get the total bill. Then divide by thenumber of diners to find each person’s share. Round to nearest 10 cents.

Amount of Number Estimate the Total Bill Each Person’s the Bill of Diners 15% Tip Plus Tip Share

1. $24 4 ___________ ___________ ___________

2. $48 5 ___________ ___________ ___________

3. $120 3 ___________ ___________ ___________

4. $65 2 ___________ ___________ ___________

5. $180 6 ___________ ___________ ___________

6. $210 4 ___________ ___________ ___________

7. $320 8 ___________ ___________ ___________

8. $78 2 ___________ ___________ ___________

9. $63 3 ___________ ___________ ___________

10. $159 5 ___________ ___________ ___________

11. $82 2 ___________ ___________ ___________

12. $219 7 ___________ ___________ ___________

13. $590 10 ___________ ___________ ___________

14. $187 6 ___________ ___________ ___________

$8� 4��$12




Ready-to-Wear

Maria is starting her first job. She will be greeting the public each day andneeds appropriate clothes. She is lucky to find a sale at her neighborhoodclothes store. Maria bought 2 sweaters for $12.95 each, 3 blouses for$15.75 each, 2 pairs of slacks for $22.00 each, and a skirt for $14.95.Maria lives in a state where the sales tax is 7%. What is her total cost?

Step 1 Multiply, then add to find the total cost.

2 Sweaters @ $12.95 � $25.903 Blouses @ $15.75 � 47.252 pairs of slacks @ $22.00 � 44.001 Skirt @ $14.95 � � 14.95��

$132.10

Step 3 Add the sales tax to the cost to find thetotal amount Maria will pay.

Cost of clothesSales TaxTotal Amount

EXAMPLE

Directions Find the cost of each set of purchases. Find the sales tax,rounding to the next higher cent. Then add the sales tax to the cost to find the total amount paid.

Step 2 Multiply the cost by the sales tax rate.Round to the next higher cent. (Note:some states use rounding to nearest cent,others raise to the next cent.)

Cost of clothesTax rateSales Tax � $9.25 Sales tax

$132.10� .07��$9.2470

$132.10� 9.25��$141.35

Cost of TotalShopper Purchases Purchases Tax Rate Sales Tax Amount Paid

Rashi sweater, $50 7%slacks, $26

Anna coat, $55.95 3%2 jeans, @ $24.99

George 4 T-shirts, @ $10.95 5%shorts, $15.99

Thui suit, $120.00 5%2 shirts, @ $29.95

Louisa skirt, $45.00 7%slacks, $35.99

1.

2.

3.

4.

5.




Finding Amount Saved on Sale Prices

Yoko is moving into her first apartment. She needs to buy a refrigeratorbecause her landlord does not supply one. She finds a sale at a departmentstore on the Internet. The refrigerator regularly sells for $599.99. It is nowon sale for $488.99. How much did she save by using the sale price?

To find the amount saved, subtract the sale price from the regular price.

Regular priceSale PriceAmount Saved

Yoko saved $111.00 on the sale price.

EXAMPLE

Directions Find the amount saved on the sale price.

Item Regular Price Sale Price Amount Saved

Gas range $776.99 $699.26

Self-cleaning oven $443.99 $399.59

Energy-saver washer $759.99 $683.99

Dishwasher $229.99 $187.88

Large-capacity dryer $449.99 $404.99

Microwave oven $419.99 $377.45

Vacuum cleaner $329.88 $225.99

DVD home theater $549.50 $499.99

Cooking pan set $775.00 $519.99

Toaster $79.99 $69.00

Coffeemaker $75.00 $39.99

Toaster oven $79.99 $49.50

Food processor $50.00 $39.88

7-speed blender $90.00 $79.45

Rice cooker $49.99 $29.50

Cake mixer $105.00 $69.95

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

$599.99� 488.99��

$111.00


EXAMPLE



Renaming Decimals as Percents

0.75 3.4

Move the decimal point 0.75 3.40 Write zeros two places to the right. where necessary.

Write % 75% 340%

Answer: 0.75 � 75% Answer: 3.4 � 340%

EXAMPLE

Directions Rename the following decimals as percents.

1. 0.05 � ______________________________

2. 10 � _______________________________

3. 0.3 � _______________________________

4. 2.21 � ______________________________

5. 0.152 � _____________________________

6. 7.111 � _____________________________

7. 0.333 � _____________________________

8. 0.0248 � ____________________________

9. 4.56 � ______________________________

10. 1.1 � _______________________________

11. 0.20 � ______________________________

12. 0.12 � ______________________________

13. 0.051 � _____________________________

14. 10.63 � _____________________________

15. 8.84 � ______________________________

16. 1.7 � _______________________________

17. 0.3624 � ____________________________

18. 0.17 � ______________________________

19. 18.468 � ____________________________

20. 0.017 � _____________________________

21. 0.009 � _____________________________

22. 0.0017 � ____________________________

23. 0.0102 � ____________________________

24. 0.95 � ______________________________

25. 1.001 � _____________________________

26. 0.99 � ______________________________

27. 0.0441 � ____________________________

28. 0.099 � _____________________________

29. 8.3 � _______________________________

30. 0.0099 � ____________________________

31. 1 � ________________________________

32. 0.00099 � ___________________________




Computing the Sale Price

Leopold buys $125.00 earrings with a 25% discount. How much does he pay?

Think: 100% � 25% � 75%

Leopold pays $93.75.

$ 125.00� .75��

6.250087.500��

$93.7500

EXAMPLE

Directions Use the shortcut method to compute the sales price in just one written step. Round to the next higher cent.

Regular Discount Sales PricePrice

1. $56.00 20% ______________

2. $34.86 6% ______________

3. $14.98 32% ______________

4. $37.15 15% ______________

5. $52.98 10% ______________

6. $105.17 28% ______________

7. $41.40 14% ______________

8. $75.15 45% ______________

9. $36.99 20% ______________

10. $56.95 30% ______________

11. $124.99 35% ______________

12. $159.99 33% ______________

13. $17.99 44% ______________

14. $45.98 40% ______________

15. $299.99 33% ______________

16. $4.95 5% ______________

17. $16.32 20% ______________

Regular Discount Sales PricePrice

18. $46.60 18% ______________

19. $23.45 48% ______________

20. $23.42 18% ______________

21. $8.15 5% ______________

22. $6.89 7% ______________

23. $143.01 20% ______________

24. $6.56 10% ______________

25. $31.54 16% ______________

26. $325.98 25% ______________

27. $76.10 20% ______________

28. $35.60 6% ______________

29. $16.35 34% ______________

30. $56.56 13% ______________

31. $16.05 25% ______________

32. $43.45 40% ______________

33. $37.51 50% ______________

34. $147.98 66% ______________




Buying from a Catalog

John and Elise plan to travel in July. They are looking for T-shirts that willkeep them cool. John wants 2 of each style in the short-sleeve T-shirt, 1 inblack and 1 in white, size L. Elise wants 1 each of 3 colors, size M, of theshort-sleeve style. They order from this CoolGuy catalog.

CoolGuyT-shirts are great for traveling. Wash them and they dry instantly!Men’s sizes S, M, L, XL, XXL. Women’s sizes XS, S, M, L, XL.

Men’s CoolGuy T-shirts in Grey, White, Blue, Black or MineralShort-sleeve pocket #7264 $26.50Short-sleeve #2286 $24.50Long-sleeve #2285 $29.50

EXAMPLE

Directions Complete the order forms for John and Elise.

Item # How Many Color Size Description Amount

Total of Merchandise

Add 8% sales tax

Shipping & Handling 5.95

Total Amount

1.

2.

3.

4.

5.

6.

7.

Item # How Many Color Size Description Amount

Total of Merchandise

Add 8% sales tax

Shipping & Handling 5.95

Total Amount

1.

2.

3.

4.

5.

6.

7.

Women’s CoolGuy T-shirts in Lapis, White,or CherryShort-sleeve #5968 $24.00Long-sleeve #5969 $30.00

John

Elise


EXAMPLE



Renaming to the Simplest Form

�97

�

Think:

Answer: �97

� � 1 �27

�

EXAMPLE

17 ��9�� 7��

2

16 �145�

16 �145� � 16 � �

145�

16 � 16 � 3 �34

�

Answer: 16 �145� � 19 �

34

�

Think:

equals 3 �34

�

34 ��1�5�� 12��

3

Directions Rename each to the simplest form.

1. �169� �

2. 16 �52

� �

3. �127� �

4. �262� �

5. �247� �

6. �387� �

7. �194� �

8. �156� �

9. 45 �190� �

10. �270� �

11. �432� �

12. �389� �

13. �51

23� �

14. �496� �

15. 25 �87

� �

16. �41

70� �

17. 26 �95

� �

18. �377� �

19. �589� �

20. �397� �

21. �91

62� �

22. �11414

� �

23. �373� �

24. 19 �156� �

25. 4 �148� �

26. 4 �185� �

27. 6 �156� �

28. �584� �

29. �61

23� �

30. 5 �73

� �

31. �61

70� �

32. �795� �

33. 10 �54

� �

34. 5 �92

� �

35. 10 �383� �


EXAMPLE



Expressing Fractions in Higher Terms

Express �56

� as a fraction with a denominator of 24.

Step 1 Step 2 Step 3 Step 4

�56

� � �24

� �56

��

44

� � �24

� �56

��

44

� � �22

04� �

56

� � �22

04�

Because 24 � 6 � 4, multiply 5 by 4. New fraction.

Directions Express each fraction in higher terms as indicated.

1. �78

� � �56

�

2. �49

� � �45

�

3. �23

� � �18

�

4. �151� � �

143�

5. �152� � �

72�

6. �27

� � �63

�

7. �59

� � �63

�

8. �12

� � �16

�

9. �153� � �

52�

10. �145� � �

225�

11. �131� � �

88�

12. �127� � �

51�

13. �12

70� � �

80�

14. �11

12� � �

36�

15. �241� � �

105�

16. �116� � �

64�

17. �153� � �

65�

18. �232� � �

88�

19. �57

� � �35

�

20. �35

� � �75

�

21. �79

� � �54

�

22. �17

� � �56

�

23. �13

� � �108

�

24. �34

� � �48

�

25. �281� � �

147�

26. �123� � �

143�

27. �136� � �

96�

28. �45

� � �85

�

29. �152� � �

84�

30. �59

� � �90

�

31. �172� � �

72�

32. �158� � �

54�

33. �58

� � �112

�

34. �11

39� � �

76�

35. �38

� � �56

�

36. �175� � �

105�

37. �163� � �

117�

38. �12

13� � �

184�

39. �590� � �

250�

40. �470� � �

320�


EXAMPLE



Addition of Fractions

12 �15

� � 4 �35

� �

Write this:

EXAMPLE

12 �15

�

� 4 �35

��

16 �45

�

13 �27

� � 3 �134� �

Write this: 13 �27

� � 13 �144�

� 3 �134� � 3 �

134�

��

16 �174� � 16 �

12

�

Find the least common

denominator. Then add.

If the denominators are

the same, then add the

numerators.

Simplify to the

lowest terms.

Directions Add. Simplify your answers to the lowest terms.

1. 6 �18

�

� 3 �38

��

2. 16 �156�

� 3 �126�

��

3. 10 �45

�

� 3 �15

��

4. 6 �19

�

� 4 �79

��

5. 2 �12

�

� 3 �34

��

6. 3 �59

�

� �29

��

7. 10 �12

�

� 6��

8. �23

�

� �13

��

9. �34

�

� �58

��

10. 6 �110�

� 2 �170�

��

11. 9 �18

�

� 8 �45

��

12. 17 �12

�

� 6 �34

��

13. 4 �58

�

� �136�

��

14. �175�

� �13

90�

��

15. �89

�

� �56

��

16. 4 �25

�

� 6 �16

��

17. 7 �15

�

� 3 �23

��

18. 8 �16

�

� 7 �19

��

19. 12 �113�

� 5 �572�

��

20. 3 �78

�

� �176�

��

21. 1 �290�

� 4 �175�

��

22. 45 �156�

� 6 �16

84�

��

23. 2

� 5 �45

��

24. 12 �59

�

� 2 �78

��


EXAMPLE



Subtraction of Fractions

13 �1112� � 2 �

122� �

Write this: 13 �1112�

� 2 �122�

��

11 �192� � 11 �

34

�

EXAMPLE 6 �57

� � 2 �231� �

Write this: 6 �57

� � 6 �12

51�

� 2 �231� � 2 �

231�

��

4 �12

21� � 4 �

47

�

If the denominators are

the same, then subtract

the numerators.

Simplify to the

lowest terms.

Find the least common

denominator. Then subtract.

Directions Subtract. Simplify your answers to the lowest terms.

1. �59

�

� �29

��

2. 9 �11

13�

� 6 �113�

��

3. 5 �78

�

� 3 �34

��

4. 9 �49

�

� 1 �168�

��

5. 6 �11

76�

� 5 �34

��

6. 32 �13

�

� 8 �16

��

7. 6 �45

�

� 2 �160�

��

8. 12 �137�

� 2 �314�

��

9. 3 �57

�

� �38

��

10. 11 �78

�

� 8��

11. 13 �58

�

� 7 �36

��

12. 8 �131�

� 1 �353�

��

13. 9 �78

�

� 6 �156�

��

14. 7 �175�

� 5 �390�

��

15. 14 �58

�

� 3 �36

��

16. 11 �190�

� 8 �45

��

17. 35 �78

�

�18 �16

��

18. 15 �176�

� 6��

19. 3 �12

98�

� �47

��

20. 12 �16

�

� 9 �19

��

21. 46 �133�

�39 �349�

��

22. 15 �12

�

� 7 �39

��

23. 36 �121�

� 7 �333�

��

24. 14 �35

�

� 8 �275�

��




Subtraction with Renaming

10 �141� � 4 �

151� �

Write this: 10 �141� � 9 �

1151�

� 4 �151� � 4 �

151�

��

5 �1101�

EXAMPLE EXAMPLE 9 �25

� � 6 �11

15� �

Write this: 9 �25

� � 9 �165� � 8 �

21

15�

� 6 �11

15� � 6 �

11

15� � 6 �

11

15�

��

2 �11

05� � 2 �

23

�

Simplify to the lowest terms.

Directions Subtract. Rename when necessary. Simplify your answers.

Remember 1 � �11

11�,

so �1151� � �

141� � �

11

11�.

1. 10 �157�

� �167�

��

2. 5 �38

�

� 3 �78

��

3. 12 �13

�

� 7 �12

��

4. 40 �110�

�36 �67

��

5. 38 �158�

� 6 �89

��

6. 47 �130�

� 8 �35

��

7. 36 �134�

� 6 �22

01�

��

8. 16 �19

�

� 4 �130�

��

9. 8 �125�

� 7 �15

��

10. 15 �156�

� 9 �78

��

11. 8 �121�

� 7 �252�

��

12. 16 �351�

� 9 �66

12�

��

13. 18 �16

�

� 9 �14

��

14. 10 �16

�

� 9 �38

��

15. 17 �13

�

�15 �45

��

16. 8 �78

�

� �89

��

17. 7 �156�

� 6 �78

��

18. 4 �23

�

� 2 �34

��

19. 3

� 2 �15

��

20. 32 �29

�

� 6 �48

��

21. 8

� 2 �78

��

22. 45

� 5 �190�

��

23. 8 �29

�

� 2��

24. 14 �67

�

� 9��




Multiplication of Decimals

31.2 � 0.334 �

Write this:

EXAMPLE EXAMPLE 0.33 � 0.005 �

Write this:31.2� .34��1 2 4 8

� 9 3 6��10.6 0 8

.33� .005��0.00165

Decimal place

Decimal places

Decimal places to be

marked off in the product

counting from right to left.

Sometimes it becomes

necessary to insert zeros at

the left.

1� 2��

3

Directions Multiply.

1. 7.8� 3.9��

2. 32.5� .16��

3. 4.16� .307��

4. 3.79� 5.6��

5. 70.9� 8.60��

6. 7.801� 9.6��

7. 60.84� 40.6��

8. 0.789� .007��

9. 8.09� .009��

10. 0.0086� .027��

11. 0.03018� .0076��

12. 0.0098� .076��

Directions Write these in vertical form and multiply.

13. 6.089 � 7.5 � ________________________

14. 4.9 � 0.008 � ________________________

15. 0.001 � 0.32 � _______________________

16. 67.8 � 4.4 � _________________________

17. 9.607 � 0.008 � ______________________

18. 0.00309 � 0.098 � ____________________

19. 0.998 � 26.7 � _______________________

20. 0.0807 � 0.056 � _____________________

21. 0.0082 � 0.007 � _____________________

22. 30.09 � 0.53 � _______________________

23. 129 � 0.0001 � _______________________

24. 0.906 � 0.0007 � _____________________




Using a Charge Account

Ryan has bought supplies for her floral shop on her credit card. Sheowes $330.00. The minimum payment due is $40.00. Ryan decides topay $80.00. That is more than her minimum so that she can pay it offfaster. Ryan’s interest charge per month is 0.9% of the unpaid balance.How much will she owe next month if she makes no new purchases?

Step 1 Subtract the payment Step 2 Find the interest on Step 3 Add the interest to the from the balance to find the unpaid balance. unpaid balance to find the unpaid balance. new balance.

Ryan now owes $252.25 on her charge account.

$250.00� 2.25��$252.25

$250.00� .009��$ 2.25

BalancePaymentNew Balance

$330.00� 80.00��$250.00

EXAMPLE

Directions Find the interest and new balance on these charge accounts.

Unpaid Interest RateBalance Payment Balance per Month Interest New Balance

$100.00 $20.00 1.2%

$1,020.00 $100.00 1.5%

$450.00 $45.00 1.6%

$825.00 $85.00 0.9%

$56.00 $2.80 1.4%

$143.00 $7.15 1.5%

$253.00 $12.65 1.6%

$167.00 $8.35 2.0%

$52.70 $2.64 1.8%

$152.89 $7.64 1.5%

$376.14 $18.81 1.3%

$985.09 $49.25 1.5%

$552.17 $27.61 1.6%

$682.34 $34.12 1.8%

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.




Using a Layaway Plan

Kareem has put a 20% deposit on a set of cooking pans that cost $350.00.He will pay 25% for the next 4 months and then he will be able to take thecooking pans home. How much will he pay each month?

Step 1 Find the deposit. It is customary to round the amount to the nearest cent.

Step 3 Find the amount of each layaway payment.

Kareem will make a $70.00 deposit and pay 4 layaway payments of $70.00. Then he will take his cooking pans home.

$ 70.004 ��$�2�8�0�.0�0�

$350.00� .20��$ 70.00

EXAMPLE

Directions Find the deposit and monthly payment for each four-month layaway plan with 20% deposit.

Item Price Deposit Amount Remainder Due Payment Amount

Carpet $400.00

Network router $80.00

Cordless drill $125.00

Table saw $1,000.00

Bird bath $160.00

Car stereo $250.00

Camping tent $190.00

Sleeping bag $75.00

Mattress $225.00

Sofa $600.00

Color TV $325.00

Compost box $125.00

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

Step 2 Find the remaining amount to be paid.

$350.00� 70.00��$280.00




Renting a Home

Renter’s Rule You should spend no more than one week’s income for amonth’s rent. Jasmine earns $3,460 per month. What is the maximumamount that she should pay for rent? There are about 4.3 weeks in eachmonth. To estimate Jasmine’s weekly income, divide her monthly income by 4.3.

Jasmine can afford to spend about $805 dollars per month for rent.

$804.654.3 ��$�3�,4�6�0�.0�0�

EXAMPLE

Renter Income Maximum Amount for Rent

1. Alexander $2,189 per month _____________________

2. Taylor $1,560 every two weeks _____________________

3. John $1,460 monthly _____________________

4. William $5,639 monthly _____________________

5. Lauren $1,500 biweekly _____________________

6. Brandon $4,580 per month _____________________

7. Megan $32,000 annually _____________________

8. Dylan $1,890 every two weeks _____________________

9. Brianna $2,405 monthly _____________________

10. Zachary $45,800 annually _____________________

11. Olivia $2,769 monthly _____________________

12. Ethan $28,400 annually _____________________

13. Victoria $860 every two weeks _____________________

14. Ryan $6,025 monthly _____________________

15. Emma $50,500 annually _____________________

Directions Use the renter’s rule to find the maximum amount thatshould be spent for rent with each of these incomes. Remember that 1 year equals 12 months or 52 weeks. Round answers to the nearest dollar.




Buying a Home

Banker’s Rule You may borrow up to 2.5 times your annual income.Luis is buying a home. His monthly income is $3,000. What is themaximum amount that he may borrow?

Step 1 Find annual income Step 2 Apply the Banker’s Rule

Luis may borrow up to $90,000.

$36,000� 2.5��$90,000

monthly incomemonths in a yearannual income

$ 3,000� 12��$36,000

EXAMPLE

Directions Use the Banker’s Rule to find the maximum amountthat may be borrowed with each of these incomes. Remember that1 year equals 12 months or 52 weeks. Round answers to the nearestdollar.

Home Buyer Income Annual Income Maximum Able to Borrow

1. Alexander $2,189 per month _______________ _________________________

2. Taylor $1,560 every two weeks _______________ _________________________

3. John $1,460 monthly _______________ _________________________

4. William $5,639 monthly _______________ _________________________

5. Lauren $1,500 biweekly _______________ _________________________

6. Brandon $4,580 per month _______________ _________________________

7. Megan $32,000 annually _______________ _________________________

8. Dylan $1,890 every two weeks _______________ _________________________

9. Brianna $2,405 monthly _______________ _________________________

10. Zachary $45,800 annually _______________ _________________________

11. Olivia $2,769 monthly _______________ _________________________

12. Ethan $28,400 annually _______________ _________________________

13. Victoria $860 every two weeks _______________ _________________________

14. Ryan $6,025 monthly _______________ _________________________

15. Emma $50,500 annually _______________ _________________________




Computing the Down Payment

Jada decided on a house to purchase. The price is $253,500. What is her 15% down payment? How much is left to mortgage?

Step 1 Find the down payment Step 2 Find amount to mortgage

Jada’s down payment will be $38,025. She will have a mortgage of $215,475.

$253,500� 38,025��$215,475

$ 253,500� .15��$38,025.00

EXAMPLE

Rate ofCost of House Down Payment Down Payment Mortgage

1. $93,000 10% ____________________ _____________________

2. $105,000 15% ____________________ _____________________

3. $117,500 20% ____________________ _____________________

4. $159,900 30% ____________________ _____________________

5. $164,500 10% ____________________ _____________________

6. $176,000 5% ____________________ _____________________

7. $179,900 20% ____________________ _____________________

8. $191,000 18% ____________________ _____________________

9. $195,995 22% ____________________ _____________________

10. $199,900 19% ____________________ _____________________

11. $235,000 10% ____________________ _____________________

12. $249,900 20% ____________________ _____________________

13. $285,000 30% ____________________ _____________________

14. $300,000 25% ____________________ _____________________

15. $308,000 14% ____________________ _____________________

16. $334,500 17% ____________________ _____________________

Directions Find the amount of the down payment and the amount of the mortgage for each house.


Paying Mortgages

K.G. obtained a $156,000, 20-year balloon mortgage at 11.5% for 5 years. How much does K.G. still owe after five years?

Mortgage Rate Term in Years

$156,000 11.5% 20

Step 1: Look in the table. Find the percentage at 11.5% for 20 years. The percentage is 91.3%.

Step 2: Multiply $156,000 by 91.3%

The principal remaining at the end of his 5-year balloon mortgage is $142,428.00.

$156,000� .913��

468 0001 560 00

140 400 0��$142,428.00



EXAMPLE

1. $135,000 13% 20 ____________

2. $561,000 10.5% 20 ____________

3. $98,000 15% 20 ____________

4. $131,000 16% 30 ____________

5. $55,000 11.5% 30 ____________

6. $108,000 16% 20 ____________

7. $97,000 14% 20 ____________

8. $168,000 14.5% 30 ____________

9. $219,000 11.5% 20 ____________

10. $178,000 15.5% 30 ____________

11. $129,000 16% 20 ____________

12. $144,000 15% 20 ____________

13. $176,000 10% 20 ____________

14. $99,000 10.5% 30 ____________

15. $154,000 11% 30 ____________

16. $87,000 12.5% 30 ____________

17. $79,000 16% 30 ____________

18. $109,000 15.5% 20 ____________

19. $89,000 11% 20 ____________

20. $1,255,000 12% 20 ____________

21. $68,000 10.5% 20 ____________

22. $58,000 14% 30 ____________

Directions Compute the principal remaining at the end of each 5-year balloon mortgage.

Term in RemainingMortgage Rate years Principal

Term in RemainingMortgage Rate years Principal

Percentage of MortgagePrincipal Left After 5 Years

10%10.5%11%11.5%12%12.5%13%13.514%14.515%15.5%16%

89.8%90.3%90.8%91.3%91.7%92.2%92.6%93.1%93.4%93.7%94.1%94.4%94.7%

96.6%96.9%97.2%97.4%97.7%97.9%98.1%98.3%98.4%98.6%98.7%98.8%99%

TermRate 20 Yrs. 30 Yrs.




Fixed-Rate Mortgage Payments

Mortgage Rate Term in Years

$134,000 6.75% 25

Step 1 Look in the table. The payment at 6.75% for 25 years is $6.91.

Step 2

Step 3

Step 4 Payment for 1 monthMonthsTotal payment

$ 925.94� 300��$277,782.00

MonthsYearsMonths in 25 years

12� 25��300

Payment for $1,000(Loan is $134,000)Payment for $134,000

$ 6.91� 134��$925.94

EXAMPLE

Directions Compute the total payment for each of these mortgage loans.

1. $235,000 6% 30 ___________

2. $235,000 7% 30 ___________

3. $84,000 6% 30 ___________

4. $84,000 7% 30 ___________

5. $150,000 7% 25 ___________

6. $150,000 7.25% 25 ___________

7. $202,000 7% 25 ___________

8. $202,000 7.75% 25 ___________

9. $856,000 7% 25 ___________

10. $856,000 7% 30 ___________

11. $208,000 6% 30 ___________

12. $208,000 6.75% 30 ___________

13. $157,000 5.50% 30 ___________

14. $146,000 6% 25 ___________

15. $146,000 6% 20 ___________

16. $136,000 7% 25 ___________

17. $136,000 7% 30 ___________

18. $365,000 6% 25 ___________

19. $365,000 6% 30 ___________

20. $185,000 6% 25 ___________

21. $185,000 6% 20 ___________

22. $1,140,000 6% 25 ___________

23. $1,140,000 6% 30 ___________

24. $142,000 5.5% 25 ___________

25. $142,000 5.5% 30 ___________

26. $155,000 6% 25 ___________

Monthly Payment to Amortize(Repay) a Loan of $1,000

5.50%5.75%6.00%6.25%6.50%6.75%7.00%7.25%7.50%7.75%

6.887.027.167.317.467.607.757.908.068.21

6.146.296.446.606.756.917.077.237.397.55

5.685.846.006.166.326.496.656.826.997.16

TermRate 20 Yrs. 25 Yrs. 30 Yrs.

Term TotalMortgage Rate in years Payment

Term TotalMortgage Rate in years Payment




Reading Utility Meters

A B C D

2 5 3 9

Begin with dial A. Read the number that the pointer has just passed.Then read dial B. If the pointer is between numbers take the lowernumber. Even though the pointer appears to be exactly on a number,read the next lower number-unless the pointer to its right has passedzero. Dials C and D are read in the same way as dial B.

The dials here read 2539.

EXAMPLE

Directions Record the readings on these sample utility meters.

1. ��

2. ��

3. ��

4. ��

5. ��

6. ��

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1

0123

4 5 678

9 0987

6 5 432

1 0123

4 5 678

9 0987

6 5 432

1




Subtraction of Whole Numbers

30,045 � 4,857 �

Write this: 30,045� 4,857��

25,188

EXAMPLE

Minuend

Subtrahend

Difference or Remainder

Directions Subtract.

1. 605 � 78 � _________________________

2. 1,087 � 819 � ______________________

3. 6,174 � 871 � ______________________

4. 2,007 � 719 � ______________________

5. 6,278 � 782 � ______________________

6. 8,431 � 7,293 � _____________________

7. 7,089 � 6,809 � _____________________

8. 83,733 � 61,737 � ___________________

9. 74,895 � 7,190 � ____________________

10. 47,785 � 12,807 � ___________________

11. 97,512 � 63,496 � ___________________

12. 12,835 � 12,728 � ___________________

13. 612,906 � 73,919 � __________________

14. 10,563 � 9,870 � ____________________

15. 325,095 � 63,808 � __________________

16. 670,900 � 45,009 � __________________

17. 562,703 � 95,576 � __________________

18. 500,642 � 25,661 � __________________

19. 522,693 � 72,506 � __________________

20. 400,000 � 53,827 � __________________

21. 323,261 � 52,122 � __________________

22. 977,365 � 116,697 � _________________

23. 422,563 � 113,165 � _________________

24. 970,862 � 97,983 � __________________

25. 950,692 � 106,979 � _________________

26. 802,556 � 97,080 � __________________

27. 627,784 � 615,622 � _________________

28. 566,385 � 34,641 � __________________




Telephone Bills

Telephone bills are a total of charges for various services plus taxes. Find the total monthly bill for the following charges: flat rate: $21.16,caller ID: $5.13, long distance $23.78 and taxes: $4.94.

The total monthly telephone bill is $55.01.

$21.165.13

23.78� 4.94��$55.01

EXAMPLE

Directions Find the total telephone bill for the services listed below.

Optional Long Flat Rate Services Distance Taxes Monthly Bill

1. $17.90 $10.50 $5.18 $1.43 __________________

2. $21.34 $2.56 $9.63 $2.45 __________________

3. $55.21 $3.87 $10.42 $2.66 __________________

4. $32.78 none $55.89 $8.21 __________________

5. $10.11 $14.50 $101.52 $15.76 __________________

6. $19.32 $12.68 none $.94 __________________

7. $20.20 $31.98 $23.74 $10.54 __________________

8. $25.76 $8.47 $14.89 $1.62 __________________

9. $18.93 $9.40 $1.22 $.86 __________________

10. $22.90 $6.73 $4.23 $1.83 __________________

11. $18.74 $32.98 $6.20 $2.24 __________________

12. $17.56 none $8.12 $1.74 __________________

13. $28.67 $14.72 $.56 $1.97 __________________

14. $18.25 $3.91 $40.59 $.93 __________________

15. $19.43 $11.84 none $2.22 __________________

16. $22.22 $2.67 $7.79 $7.28 __________________




Mortgage Insurance

Marilee Parker had a $45,000 mortgage for a term of 20 years. She died in the15th year. Use the chart below to find the benefit of her mortgage insurance.

Percent of Mortgage Covered

Step 1 Read Chart Step 2 Multiply the mortgage by 41%For a 20 year term mortgage,the benefit in the 15th year is 41%

The insurance company paid a benefit of $18,450.

EXAMPLE

Directions Find the amount paid by the insurance company in each of these situations.

Policy Year in Which Term of Amount of Death Occurs Mortgage Mortgage Benefit Paid

1. 5 30 $30,000 ___________________

2. 10 15 $15,000 ___________________

3. 15 20 $35,000 ___________________

4. 20 30 $64,500 ___________________

5. 10 10 $28,900 ___________________

6. 30 30 $145,600 ___________________

7. 1 25 $47,800 ___________________

8. 25 30 $98,700 ___________________

9. 20 25 $56,300 ___________________

10. 5 20 $99,900 ___________________

1 100% 100% 100% 100% 100%5 94% 92% 88% 80% 66%10 84% 77% 67% 49% 12%15 71% 59% 41% 9%20 55% 36% 8%25 34% 7%30 7%

Policy Year inwhich Death 30 Year 25 Year 20 Year 15 Year 10 Year

Occurs Term Term Term Term Term

$45,000� .41��$18,450




Finding the Percentage of a Number

30% of 400 �

Write this:

Answer: 30% of 400 � 120

400� .30��120.00

EXAMPLE EXAMPLE What is 9.5% of 6.2?

Write this:

Answer: 9.5% of 6.2 � 0.589

6.2� 0.09 5��

31 0� 5 58��0.5 89 0

Directions Find the percentage in the following problems.

1. 10% of 50 � _________________________

2. What is 10% of 400? ___________________

3. 3.6% of 25 � ________________________

4. What is 5% of 20? _____________________

5. 30% of 90 � _________________________

6. What is 7.9% of 56? ___________________

7. 17% of 100 � ________________________

8. What is 12.5% of 80? __________________

9. 8.6% of 9.5 � ________________________

10. What is 37.5% of 160? _________________

11. 4.9% of 31 � ________________________

12. What is 50% of 326? ___________________

13. 20% of 15.99 � _______________________

14. What is 80% of 100? ___________________

15. 30% of 12.95 � _______________________

16. What is 35% of 100? ___________________

17. 87% of 301 � ________________________

18. What is 0.5% of 100? __________________

19. 9.2% of 100 � _______________________

20. What is 0.01% of 16? __________________

21. 16.8% of 100 � _______________________

22. What is 0.006% of 87? _________________

23. 3.9% of 36 � ________________________

24. What is 0.002% of 897,654? _____________

25. 0.05% of 21,000 � ____________________

26. What is 0.007% of 1,000,000? ____________

27. 0.067% of 325,000 � __________________

28. What is 0.0125% of 8,000? ______________

29. 0.0003% of 100 � _____________________

30. What is 10.0006% of 305? _______________

31. 0.0009% of 827,351 � _________________

32. What is 0.897654% of 100? ______________




Addition of Whole Numbers

234 � 349 � 1,603 �EXAMPLE EXAMPLE Write this: 234349

� 1,603��2,186

Addends

Sum

�

Directions Add.

1. 17 � 32 � 295 � ��

2. 9 � 78 � 56 � 14 � ��

3. 14 � 52 � 6 � 107 � ��

4. 729 � 351 � 486 � ��

5. 932 � 657 � 96 � ��

6. 173 � 15 � 1,029 � 2 � ��

7. 143 � 2,095 � 888 � ��

8. 946 � 201 � 7,385 � ��

9. 16,731 � 28,049 � 523 �

____________________

10. 9,657 � 9,083 � 82,645 �

____________________

11. 177 � 4,758 � 7,347 � ��

12. 197 � 659 � 3,067 � ��

13. 1,097 � 8,487 � 91,263 �

____________________

14. 36,049 � 78,360 � 930,764 �

____________________

15. 43,750 � 68,405 � 85,012 �

____________________

16. 11,789 � 91,024 � 36,559 �

____________________

17. 303,252 � 906,456 � 132,381 �

____________________

18. 5,545,090 � 7,436,286 � 90,716,966 �

____________________




Purchasing a Used Car

Directions Compute the answers to these problems. Write your answer on theline. Round your answers to the nearest cent.

1. Lisle buys a $15,995 car with a $1,500 trade-in. How much more money does she pay? _________________

2. Jon agrees to pay $356.47 per month for his car. How much will he pay in 14 months? _________________

3. Tamika’s car has a sale price of $12,679. How much money does she pay after a $2,080 rebate? _________________

4. Fran’s car is guaranteed for 60 days or 5,000 miles (whichever comes first).She bought the car on April 10 with 36,757 miles on it. On June 8, the odometer reads 41,732. Is the guarantee still in effect? How do you know? _________________

5. The ad reads “$1,000 or best offer.” If your offer of $760.00 is accepted, how much money will you save? _________________

6. Hobbes’ car is guaranteed for 30 days or 4,500 miles (whichever comes first).He bought the car on January 7 with 25,123 miles. On February 7,the odometer reads 29,379. Is the guarantee still in effect? How do you know? _________________

7. The car Francesca wants to buy has a list price of $9,995.07. The dealer will sell it at 8% off. How much must she pay? _________________

8. Your car invoice reads “Price $10,379.94, dealer preparation $101.00,transportation $75.60, undercoat $259.99, 60-day guarantee $176.00,tape deck $84.10.” What is the final cost? _________________

9. When Meredeth purchases her car, she agrees to pay $500.00 down and $56.14 per month for three years. How much will she pay for the car? _________________

10. Sean paid the dealer $6,756.00 cash for his car. He also paid 7% sales tax on the car, $80.00 for license plates, and $201.16 for insurance.How much did Sean pay for all these charges? _________________




Financing a Car

Carlos purchased a car for $34,770 and financed the payments. Afterpaying $6000 down payment, he financed the rest for 60 months at$525 per month. What was the deferred price of Carlos’ car and thetotal interest he paid?

Step 1 Multiply to find total monthly payments Step 2 Add to find deferred price

Step 3 Subtract to find Interest Paid

The deferred price of Carlos’ car is $37,500 and the total interest paid is $2,730.

Deferred PriceCash PriceInterest Paid

$ 37,500� 34,770��$ 2,730

Total Monthly PaymentsDown PaymentDeferred Price

$ 31,500� 6,000��$ 37,500

Monthly PaymentMonthsTotal Monthly Payments

$ 525� 60��$31,500

EXAMPLE

Directions Find the total monthly payment, the deferred price and the interest paid.

Cash Down Monthly Months Total Monthly Deferred Interest Price Payment Payment to Pay Payments Price Paid

1. $17,000 $6,000 $277.34 60 _____________ ____________ ____________

2. $20,000 $5,000 $378.20 60 _____________ ____________ ____________

3. $12,500 $1,200 $231.03 72 _____________ ____________ ____________

4. $21,000 $3,000 $485.26 48 _____________ ____________ ____________

5. $18,500 $2,000 $444.83 48 _____________ ____________ ____________

6. $22,800 $4,500 $395.33 72 _____________ ____________ ____________

7. $24,900 $3,500 $449.05 60 _____________ ____________ ____________

8. $16,250 $1,250 $389.80 48 _____________ ____________ ____________

9. $18,060 $3,000 $275.76 72 _____________ ____________ ____________

10. $24,750 $6,000 $543.98 48 _____________ ____________ ____________

11. $38,000 $10,000 $674.33 60 _____________ ____________ ____________

12. $20,000 $3,000 $428.62 60 _____________ ____________ ____________

13. $26,000 $3,000 $655.16 48 _____________ ____________ ____________




Buying Automobile Insurance

Sarah, who is 18 years old,wants coverages 1A, 2A, 3C,and 5E. She has had onemoving violation. Find her total premium from the chart.

Step 1 1A � $533.10; 2A � $208.70; 3C � $70.20; 5E � $158.80Step 2 $533.10 � $208.70 � $70.20 � $158.80 � $970.80Step 3 Rating factors: Age � 30%; Moving violations � 30%Step 4 30% � 30% � 60%Step 5 $970.80 � .60 � $582.48Step 6 $970.80 � $582.48 � $1,553.28 (Sarah’s annual premium)

EXAMPLE AUTOMOBILE INSURANCE PREMIUM CHART

1 2 3 4 5

Collision Medical Property ComprehensiveLiability (Deductible) Payments Damage Fire & Theft

A $25K/50K $500 $500 $10,000 $500 Ded.$533.10 $208.70 $034.80 $212.80 $019.80

B $50K/100K $300 $1,000 $20,000 $300 Ded.$607.40 $281.70 $053.60 $217.90 $056.90

C $100K/150K $250 $2,000 $30,000 $250 Ded.$649.30 $302.40 $070.20 $222.40 $061.30

D $100K/200K $150 $3,000 $50,000 $150 Ded.$664.90 $340.80 $092.90 $229.60 $127.60

E $150K/300K $100 $5,000 $75,000 $0.00 Ded.$703.20 $378.50 $107.10 $234.10 $158.80

Rating Factors:

Accidents andAge Moving ViolationsUnder 20 = +30%20 – 24 = +10% 1 = +30%25 – 64 = +0% 2 = Refuse policyOver 64 = +10%

Directions Compute the annual premium for these policies.

Accidents and Annual

Coverages Age Moving Violations Premium

1. 1B, 2B, 3E, 4A, 5C 34 2 ��

2. 1E, 2A, 3C, 4E, 5D 51 0 ��

3. 1A, 2C, 3A, 4C, 5C 58 1 ��

4. 1D, 2D, 4B, 5E 23 1 ��

5. 1C, 3E, 4E, 5E 33 1 ��

6. 1D, 2A, 3E, 4D, 5E 36 0 ��

7. 1E, 2C, 3B, 4A, 5D 18 1 ��

8. 1C, 2E, 3D, 4D, 5E 51 2 ��

9. 1C, 2E, 3D, 4C, 5E 65 0 ��

10. 1C, 2B, 3E, 4B 62 0 ��

11. 1B, 2D, 4C, 5E 60 1 ��

12. 1B, 2B, 3E, 4B, 5B 27 0 ��




Reading an Odometer

Shanoma’s odometer reads 456187.5. Write the reading in words.

Step 1 Place the decimal point and a comma in the number. 456,187.5

Step 2 Write the number in words. The reading is four hundred fifty-six thousand, one hundred eighty-seven and five tenths miles.

EXAMPLE

Directions Write the odometer reading in words.

1. 0 3 5 7 8 2 1 _______________________________________________________________

_______________________________________________________________

2. 1 4 7 9 2 3 4 _______________________________________________________________

_______________________________________________________________

3. 0 2 4 4 7 6 1 _______________________________________________________________

_______________________________________________________________

4. 1 8 8 4 4 2 8 _______________________________________________________________

_______________________________________________________________

5. 0 0 0 2 6 8 3 _______________________________________________________________

_______________________________________________________________

Directions Round to the nearest thousand miles. Write the number in words.

6. 0 6 8 2 2 3 9 _______________________________________________________________

_______________________________________________________________

7. 1 9 9 8 7 9 0 _______________________________________________________________

_______________________________________________________________

8. 1 4 5 3 9 8 5 _______________________________________________________________

_______________________________________________________________

9. 0 0 3 7 6 0 7 _______________________________________________________________

_______________________________________________________________

10. 1 3 2 5 5 4 1 _______________________________________________________________

_______________________________________________________________

4 5 6 1 8 7 5




Average Miles Driven per Year

1 5 6 1 8 7 5

Bailey’s odometer reads 156187.5. Her car is 6 years old. Find the average number of miles she drove per year. Round to the nearest mile.

➡ 26,031 miles

Bailey drove an average of 26,031 miles per year.

26,031.26 ��1�5�6�,1�8�7�.5�

EXAMPLE

Directions Find the average number of miles driven per year for each car.Round your answer to the nearest mile.

Odometer Reading Age of Car in Years Average Number of Miles

1. 0 0 3 8 6 9 1 3 ______________________

2. 0 0 9 6 8 4 8 5 ______________________

3. 0 9 8 6 7 3 4 7 ______________________

4. 0 3 7 8 4 1 4 2 ______________________

5. 1 4 3 6 8 4 9 10 ______________________

6. 1 0 1 6 4 2 6 8 ______________________

7. 0 5 7 3 1 5 8 5 ______________________

8. 1 1 4 5 6 7 3 7 ______________________

9. 1 4 5 6 8 4 2 6 ______________________

Directions Find the average number of miles driven per year.Round your answer to the nearest hundred miles.

Odometer Reading Age of Car in Years Average Number of Miles

10. 2 3 4 5 6 9 0 10 ______________________

11. 2 1 0 4 6 3 7 11 ______________________

12. 1 0 4 6 2 2 8 8 ______________________

13. 0 0 9 8 7 3 5 6 ______________________

14. 0 0 2 7 3 8 0 3 ______________________

15. 1 5 7 3 9 8 2 9 ______________________

16. 0 0 0 8 3 7 1 2 ______________________

17. 0 8 9 6 4 6 3 6 ______________________

18. 0 1 4 3 5 7 6 5 ______________________

1 5 6 1 8 7 5




Number of Miles Traveled

Samuel’s odometer reads 456187.5 at the beginning of a trip. At the end, it reads 459733.2. How far did Samuel travel? Round the answer to the nearest mile.

To find the distance, subtract the beginning reading from the ending reading.

Samuel traveled 3,546 miles.

459,733.2� 456,187.5��

3,545.7

EXAMPLE

Directions Find the number of miles traveled. Round to the nearest mile.

Beginning End Miles Traveled

1. 105061.9 105083.9 ______________________

2. 250336.9 251557.8 ______________________

3. 004387.6 004999.5 ______________________

4. 101113.6 101255.7 ______________________

5. 034463.2 036672.7 ______________________

6. 165889.0 166000.0 ______________________

7. 101567.6 102887.0 ______________________

8. 003778.5 005822.8 ______________________

9. 128345.9 130539.7 ______________________

10. 044869.7 047822.5 ______________________

11. 091073.4 096389.1 ______________________

12. 066937.7 070387.6 ______________________

13. 003955.7 004473.0 ______________________

14. 108774.0 119558.7 ______________________

15. 035070.3 036507.5 ______________________

16. 148995.3 155889.2 ______________________

17. 266998.2 269338.3 ______________________




Division of Whole Numbers Without Remainders

1,404 � 6 �

Write this: 2346 ��1�,4�0�4�� 1 2��

20� 18��

24� 24��

EXAMPLE 11,707 � 23 �

Write this: 50923 ��1�1�,7�0�7�

� 11 5��207

� 207��

3,120 � 12 �

Write this: 26012 ��3�,1�2�0�

� 2 4��72

� 72��

Quotient

Dividend

EXAMPLE EXAMPLE

Directions Divide.

1. 9 ��4,�26�6�

2. 6 ��2,�34�6�

3. 7 ��1,�44�2�

4. 8 ��3,�12�8�

5. 7 ��4,�36�1�

6. 8 ��4,�18�4�

7. 17 ��5,�18�5�

8. 15 ��1,�59�0�

9. 28 ��17�,2�20�

10. 46 ��32�,6�60�

11. 32 ��18�,0�48�

12. 27 ��59�,6�70�


13. 4,173 � 107 � 14. 8,316 � 462 � 15. 3,852 � 36 �




Multiplication of Whole Numbers

273 � 49 �EXAMPLE Write this: 273� 49��2 457

� 10 92��13,377

��

Factors

Partial Products

Product

Directions Multiply.

Directions Write these in the vertical form and multiply.

1. 289� 3��

2. 293� 18��

3. 986� 37��

4. 401� 13��

5. 316� 47��

6. 856� 17��

7. 118� 72��

8. 998� 24��

9. 367� 82��

10. 2,509� 16��

11. 7,096� 37��

12. 8,500� 94��

13. 5,672� 209��

14. 3,480� 567��

15. 1,057� 209��

16. 3,197 � 348 � 17. 3,245 � 7,610 � 18. 3,472 � 671 �




Computing the Fuel Needed

Jordan is planning a 470 mile trip. His car’s EPA rating is 34 mpg on thehighway. How many gallons of gas will he require for this trip? Round tothe nearest gallon.

Jordan will need about 14 gallons of gas for this trip.

� 14 gallons needed for the tripMiles

13.834 ��4�7�0�.0�

EXAMPLE

Directions Find the amount of fuel needed for each trip. Round your answer to the nearest gallon.

Distance Mileage Rating Amount of Fuel

1. 140 miles 20 mpg ____________________

2. 238 miles 21 mpg ____________________

3. 1,205 miles 19 mpg ____________________

4. 387 miles 17 mpg ____________________

5. 446 miles 18 mpg ____________________

6. 968 miles 22 mpg ____________________

7. 1,097 miles 35 mpg ____________________

8. 488 miles 24 mpg ____________________

9. 316 miles 16 mpg ____________________

10. 1,024 miles 34 mpg ____________________

11. 349 miles 36 mpg ____________________

12. 5,278 miles 28 mpg ____________________

13. 472 miles 14 mpg ____________________

14. 885 miles 40 mpg ____________________

15. 21,976 miles 37 mpg ____________________

16. 6,778 miles 28 mpg ____________________

17. 890 miles 25 mpg ____________________

18. 482 miles 30 mpg ____________________




Computing Average Speed

Francine drives 259 miles in 6 hours and 24 minutes. Find her average rate of speed.

Step 1 Convert minutes to a decimal part of an hour by dividing by 60.

Step 2 Write the hours as a 6 hours and 24 minutes �decimal number. 6 hours � .4 hours � 6.4 hours

Step 3 Divide the miles by the hours � 40 miles per hour

Francine’s average rate of speed is 40 miles per hour.

40.46.4 ��2�5�9�.0�

HoursMinutes

.460 ��2�4�.0�

EXAMPLE

Directions Find the average speed for these trips. Round your answer to the nearest mile per hour.

Distance Time Average Speed

1. 140 miles 3 hours, 30 minutes _____________________


3. 1,205 miles 30 hours, 45 minutes _____________________




7. 1,097 miles 27 hours, 30 minutes _____________________












Computing Travel Time

Emily Elizabeth plans a trip of 410 miles. She expects to be able toaverage 45 miles per hour. How much time should Emily Elizabethexpect the trip to take?

Step 1 Divide the miles by the average speed. Round to the nearest hundredth of an hour.

Step 2 Convert the decimal part of the quotient to minutes by multiplying it by 60.

Emily Elizabeth’s trip should take about 9 hours and 7 minutes.

HourMinutes per hour� 7 minutes

.11� 60��6.60

HoursMiles

9.1145 ��4�1�0�.0�0�

EXAMPLE

Directions Find the travel time for each of these trips.Round your answer to the nearest minute.

Distance Average Speed Estimated Time for Trip

1. 110 miles 27 mph _____________________

2. 176 miles 57 mph _____________________

3. 342 miles 50 mph _____________________

4. 85 miles 35 mph _____________________

5. 469 miles 55 mph _____________________

6. 308 miles 51 mph _____________________

7. 232 miles 33 mph _____________________

8. 455 miles 50 mph _____________________

9. 678 miles 45 mph _____________________

10. 799 miles 36 mph _____________________

11. 403 miles 42 mph _____________________

12. 908 miles 46 mph _____________________

13. 264 miles 51 mph _____________________

14. 108 miles 53 mph _____________________

15. 55 miles 38 mph _____________________

16. 770 miles 46 mph _____________________




Buying Gasoline

Simone has $10.00. She wants to buy gas at $1.099. How many gallons can she buy?

Step 1 Write the price of the gas as a decimal. $1.099 � 1.099

Step 2 Divide the amount of money � 9.1 gallons by the price of one gallon of gas.

Simone may purchase 9.1 gallons.

9.091.099 ��1�0�.0�0�

EXAMPLE

Directions Find the amount of gas you can buy with each amount of money.Round your answer to the nearest tenth of a gallon.

Amount of Cost per Gallon Gallons of gasMoney of Gasoline

1. $10 $1.089 __________________

2. $20 $1.239 __________________

3. $50 $.999 __________________

4. $14 $1.359 __________________

5. $25 $1.179 __________________

6. $5 $1.089 __________________

7. $3 $.989 __________________

8. $12 $1.019 __________________

9. $10 $1.029 __________________

10. $15 $1.429 __________________

11. $25 $1.349 __________________

12. $22 $1.029 __________________

13. $40 $1.119 __________________

14. $26 $1.079 __________________

15. $10 $1.289 __________________

16. $9 $1.319 __________________

17. $16 $1.119 __________________




Repairing Cars

Erika Jones had the PCV valve and rear wheel bearings replaced on her car. To find her total bill, you must:

Step 1 Fill in the parts and work done.

Step 2 Find the price of parts and hours worked from the flat rate chart.

Step 3 Multiply hours of labor times $60, and compute the sales tax of 6% on the parts only.

Step 4 Add to find the total bill.

EXAMPLE NAME �� DATE ��

ADDRESS �� ZIP CODE ��

PARTS $ PRICE HOURS DESCRIPTION LABOR

PCV valve $7 50 .4 Replace PCV valve $24 00

Rear wheel Replace rear

bearings 45 62 1.1 wheel bearings 66 00

MECHANICAL LABOR $90 00

PARTS 53 12

SALES TAX 3 19

TOTAL $146 31

FRIENDLY MOTORS

“SALES, SERVICE, & PARTS”

AUTHORIZED DEALER

Erika Jones Oct. 23

3309 Mace St., Baltimore 21206

Directions Fill out a car repair order form for these repairs. Charge $60 per hour for labor and 6% sales tax. Do not charge sales tax on labor. Make up addresses and dates.

1. Ms. Heather BrunsonInstall roof rackAlign the front endReplace rear wheel bearingsReplace clutch

Flat Rate Chart

Time(in hours) Repairs Parts

.4 Replace PCV valve $227.502.1 Complete tune-up 127.80.5 Align headlights 0

1.7 Fix gas tank leak (sealant) 15.001.5 Tighten steering wheel 0.7 Recharge air conditioner and

check for leaks (refrigerant) 30.00

Time(in hours) Repairs Parts

5.2 Replace clutch 180.801.5 Replace front brake pads 32.952.5 Install roof rack 126.85.7 Align the front end 0.7 Replace muffler, tail pipe 160.00

3.1 Carburetor overhaul 01.1 Replace rear wheel bearings 45.62

NAME �� DATE ��

ADDRESS �� ZIP CODE ��

PARTS $ PRICE HOURS DESCRIPTION LABOR

MECHANICAL LABOR

PARTS

SALES TAX

TOTAL

FRIENDLY MOTORS

“SALES, SERVICE, & PARTS”

AUTHORIZED DEALER




Calorie Counting Chart

Directions Track your daily calorie intake. Note your daily activity.

Day Breakfast Cal Lunch Cal Dinner Cal Snacks Cal Activities

Total




Renaming to Lowest Terms

�11

26� � �

1126

��

44

� � �34

�

Divide the numerator and the denominator by 4 because 4 is a common factor of 12 and 16.

EXAMPLE EXAMPLE 3 �11

26� � 3 � �

11

26� � 3 � �

34

� � 3 �34

�

Rename �11

26� as shown in

the first example.

Directions Rename each fraction to the lowest terms.

1. �186� �

2. 1 �12

04� �

3. �14

28� �

4. �23

46� �

5. �35

35� �

6. 3 �12

00� �

7. �255� �

8. �13

46� �

9. �25

86� �

10. �23

69� �

11. 6 �56

24� �

12. 5 �15

32� �

13. �294� �

14. 12 �14

82� �

15. �14

68� �

16. �12

41� �

17. �35

67� �

18. �15

46� �

19. 37 �36

03� �

20. 91 �520� �

21. 2 �18

81� �

22. 9 �16

64� �

23. �46

04� �

24. �26

44� �

25. �13

42� �

26. �26

84� �

27. �13433

� �

28. �11

28� �

29. 4 �34

28� �

30. �56

64� �

31. �36

63� �

32. �49

50� �

33. 7 �13

82� �

34. �14288

� �

35. �15048

� �

36. �18044

� �

37. �61460

� �

38. �23394

� �

39. �24

88� �

40. 56 �59

66� �




The Key to Proportion

When two ratios are equal, they form a proportion. Find out if the ratiosare equal by comparing the cross products.

Are �34

� and �192� equal?

4 � 9 3 � 1236 36

The cross products are equal so the ratios �34

� and �192� form a proportion.

Directions Are these ratios equal? Write an equal sign if the ratios form a proportion.

1. �58

� �23

02�

2. �46

� �23

�

3. �34

� �172�

4. �13

� �49

�

5. �56

� �23

50�

6. �11850

� �56

�

7. �23

� �11

05�

8. �45

00� �

45

�

9. �14

� �132�

10. �15

� �250�

EXAMPLE

3

4

9

12




Division of Fractions

�56

� � �170� � Rule: Invert the divisor �

170� to �

170� and multiply.

Write this: �56

� � �170� � �

2251� � 1 �

241�

2 �12

� � 3 �14

� �

Write this: �52

� � �143� � Express mixed numbers as improper fractions.

�52

� � �143� � �

1103� Invert the divisor. Then multiply. Simplify if possible.

EXAMPLE

EXAMPLE

5

Divisor

3

2

1

Directions Divide. Simplify your answers.

1. �15

� � �12

� �

2. �13

� � �79

� �

3. �110� � �

18

� �

4. �152� � �

58

� �

5. �156� � �

56

� �

6. �125� � �

27

� �

7. �16

� � �175� �

8. �470� � �

156� �

9. 6 � �11

45� �

10. 1 �37

� � �37

� �

11. 1 �134� � 2 �

18

� �

12. 1 �37

� � 3 �17

� �

13. 6 �38

� � 3 �34

� �

14. 7 �12

94� � 2 �

18

� �

15. 31 �16

� � 3 �23

� �

16. 1 � �157� �

17. �67

� � 1 �15

� �

18. 1 �56

� � 1 �112� �

19. 1 � 2 �37

� �

20. 9 �13

� � �14

� �

21. 5 �171� � 1 �

121� �

22. 4 �45

� � �45

� �

23. 1 �56

� � 1 �112� �

24. 2 �34

� � �38

� �




Renaming Fractions as Percents

�34

�

Think:

Answer: �34

� � 75%

EXAMPLE EXAMPLE �23

�

Think:

Answer: �23

� � 66 �23

�%

0.75 � 75%4 ��3�.0�0�� 2 8��

20� 20��

0

0.66 �23

� � 66 �23

�%3 ��2�.0�0�� 1 8��

20� 18��

2

Directions Rename each fraction as a percent.

1. �14

� � ��o� o�o�o�o�o�o�o� � ________________

2. �25

� � ��o� o�o�o�o�o�o�o� � ________________

3. �12

� � ��o� o�o�o�o�o�o�o� � ________________

4. �110� � ��o� o�o�o�o�o�o�o� � ________________

5. �18

� � ��o� o�o�o�o�o�o�o� � ________________

6. �78

� � ��o� o�o�o�o�o�o�o� � ________________

7. �13

� � ��o� o�o�o�o�o�o�o� � ________________

8. �45

� � ��o� o�o�o�o�o�o�o� � ________________

9. �15

� � ��o� o�o�o�o�o�o�o� � ________________

10. �58

� � ��o� o�o�o�o�o�o�o� � ________________

11. �38

� � ��o� o�o�o�o�o�o�o� � ________________

12. �11

27� � ��o� o�o�o�o�o�o�o� � ________________




Fat Grams and Calories

Oscar eats some french fries. In a cup of fries, there are 180 calories and 6 grams of fat. Each gram of fat supplies 9 calories. What percent of the calories in the french fries are from fat?

Step 1 Find the number of calories from fat. Step 2 Write the fat proportion.

6g � 9 � 54 calories from fat �TFoattal

ccaalolorireiess

� � �perc

1e0n0t fat�

�15840

� � �perc

1e0n0t fat�

Step 3 Simplfy the ratios Step 4 Solve the proportion

�15840

� � �perc

1e0n0t fat� 9 � 100 � 30 � 30%

�390� � �

perc1e0n0t fat�

The fat calories are 30% of the french fries.

EXAMPLE

Directions Find what percent the fact calories are of the total calories in each food. Round to the nearest whole percent.

Total Calories Grams of Fat Percent of FatFood per Serving per Serving per Serving

Corn, 1 ear boiled 117 0.9 g

Corn fritter 132 7.5 g

Potato, 1 baked 220 0.2 g

Potato, �12

� c. hash browns 119 10.8 g

Whole milk, 8 fl. oz. 157 8.9 g

Skim milk, 8 fl.oz. 86 0.4 g

Tuna fish, 3 oz., in oil 169 7 g

Tuna fish, 3 oz., in water 97 1.5 g

Mixed nuts, 1 oz. 168 14.5 g

Angel food cake, 1 slice 130 0 g

Chocolate cake, 1 slice 190 5 g

Orange 62 0.2 g

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.




Exercise and Calories

According to the National Institutes of Health, the average number of

calories spent per hour by a 150-pound person who rides a bicycle 6 miles

per hour is 240 calories. The calories spent in a particular activity vary in

proportion to one’s body weight. For example, a 100-pound person burns�13

� fewer calories, and a 200-pound person, burns �13

� more calories.

Find the average number of calories burned by a 100-pound person and a

200-pound person who ride bikes at 6 mph for one hour. Round your

answer to the nearest calorie.

100-pound personThink: �

13

� fewer is about 33% fewer. Multiply by 100% minus 33%, or 67%

240 calories per hour � 67% � 240 � 0.67 � 160.8 � 161 cals./hr

200-pound personThink: �

13

� more is about 33% more. Multiply by 100% plus 33%, or 133%

240 calories per hour � 133% � 240 � 1.33 � 319.2 � 319 cals./hr

A 100-pound person burns an average of 161 calories per hour bicycling at 6 mph.A 200-pound person burns an average of 319 calories per hour bicycling at 6 mph.

EXAMPLE

Activity Calories burned Calories burned Calories burnedby 150-lb person by 100-lb person by 200-lb person

Bicycling 6 mph 240 cals./hr 161 319

Bicycling 12 mph 410 cals./hr

Cross-country skiing 700 cals./hr

Jogging 5 �12

� mph 740 cals./hr

Jogging 7 mph 920 cals./hr

Jumping rope 750 cals./hr

Running in place 650 cals./hr

Running 10 mph 1280 cals./hr

Directions Find the average number of calories a 100-pound person and a 200-pound person burn while engaged in the following activities. Round youranswer to the nearest calorie.

1.

2.

3.

4.

5.

6.

7.

8.

Source: Exercise and Your Heart, A Guide to Physical Activity http://www.nih.gov/health/exercise/3.htm




Exercising to Lose Weight

Each extra pound in a person’s body contains about3,500 calories. One way to lose a pound is to exerciseenough to burn 3,500 calories. Jasmine plays golf for 4 hours. How much weight does she lose? Use the chart to find the number of calories used in 1 hour.

Step 1 Step 2 �13

,,45

00

00

� � �13

45� � �

25

�

Jasmine loses �25

� pound.

CaloriesHourstotal calories used

350� 4��1,400

EXAMPLE

Directions Use the chart to compute how much weight each person loses.Simplify your answers.

Daily Exercise Weight Loss

1. Mohab plays tennis for 3 hours. ________________________

2. Janet walks for 2 hours. ________________________

3. David plays golf for 6 hours. ________________________

4. Jose runs for 2 hours. ________________________

5. Natel bikes for 3 hours. ________________________

6. Aslan swims for 2 hours. ________________________

Monthly Exercise Weight Loss

1. Makel runs for 15 hours. ________________________

2. Jacque plays golf for 34 hours. ________________________

3. Darbert walks for 84 hours. ________________________

4. LaVerne does 16 hours of heavy exercise. ________________________

5. Spike swims for 70 hours. ________________________

6. Sanji bikes for 10 hours. ________________________

Calories Used in One Hour

Activity CaloriesTennis 500Bicycling 500Golf 350Swimming 500Walking 300Running 700Heavy Exercise 1,200




Multiplication of Fractions

�25

� � �1103� � �

2605� � �

143�

OR �25

� � �1103� � �

143� Because �

150� � �

21

�

2 �12

� � 2 �23

� �

�52

� � �83

� � �230� � 6 �

23

� Because �82

� � �41

�

EXAMPLE

EXAMPLE

numerator times numerator��denominator times denominator

1

1

2

4

Directions Multiply. Simplify your answers.

1. �12

� � �25

� �

2. �37

� � �79

� �

3. �18

� � �45

� �

4. �58

� � �11

05� �

5. �38

� � �56

� �

6. �27

� � �13

40� �

7. �175� � �

154� �

8. �12

45� � �

156� �

9. 6 �37

� � �11

45� �

10. 3 �13

� � �37

� �

11. �47

� � 2 �18

� �

12. �12

� � 3 �17

� �

13. 3 �140� � 3 �

34

� �

14. 2 �18

� � 3 �23

� �

15. 8 �12

� � 3 �23

� �

16. 3 �25

� � �157� �

17. 1 �114� � 1 �

15

� �

18. 1 �193� � 1 �

112� �

19. 2 �37

� � �177� �

20. 37 �13

� � �14

� �

21. 4 �12

� � 1 �121� �

22. �45

� � �61

� �

23. 1 �112� � 1 �

193� �

24. 7 �13

� � �38

� �

25. 1 �123� � 2 �

37

� �

26. 4 � 1 �23

� �

27. 14 �23

� � �24

� �

28. 2 �145� � �

56

� �




Cooking Time

Kyle wants to eat at 6:30 pm. He must cook a roast for 2 hours and 45 minutes. When should he put the roast in the oven?

Step 1 Step 2

Kyle should put the roast in the oven at 3:45 P.M.

5 hours 90 minutes� 2 hours 45 minutes��

3 hours 45 minutes

6 hours 30 minutes� 2 hours 45 minutes��

Rename 1 hour to 60 minutes.Add it to the current minutes.

Subtract the cooking timefrom the dinner time.

EXAMPLE

Directions Find the start times for the cooking times and stop times below.

Start Time Cooking Time Stop Time

1 hour 15 minutes 5:30 pm

2 hours 15 minutes 6:00 pm

45 minutes 7:00 pm





35 minutes 5:30 pm


20 minutes noon

50 minutes 11:35 am

1 hour 50 minutes 11:45 am

25 minutes 12:30 pm

1 hour 1:00 pm(hint: add 12 hours and use 13:00)


35 minutes 12:15 pm

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.




Finding the Base of a Percent

10 is 40% of what base?

Write this:

Answer: 10 is 40% of 25.

25. � 250.40 ��1�0�.0�0�

� 8 0��2 00

� 2 00��

EXAMPLE EXAMPLE 12 is 5% of what number?

Write this:


2 40.0.05 ��1�2�.0�0�

� 10��2 0

� 2 0��

Directions Find the base of each percent.

1. 20 is 50% of what base? ________________

2. 279.63 is 39% of what base? _____________

3. 16 is 32% of what number? _____________

4. 52.52 is 6.5% of what base? _____________

5. 75 is 10% of what base? ________________

6. 75.154 is 10.6% of what number? _________

7. 95 is 50% of what number? _____________

8. 99 is 99% of what number? _____________

9. 13 is 25% of what number? _____________

10. 35 is 35% of what base? ________________

11. 76 is 40% of what number? _____________

12. 12.5 is 12.5% of what base? _____________

13. 94 is 16% of what base? ________________

14. 705 is 37% of what number? ____________

15. 38 is 12.5% of what base? _______________

16. 87 is 25% of what base? ________________

17. 19.26 is 18% of what number? ___________

18. 96 is 32% of what number? _____________

19. 33 is 9% of what number? ______________

20. 186 is 60% of what base? _______________


Practice with Whole Numbers


Basic Skills76

Directions Write the place value name for each underlined digit.

1. 30�

5 ________________________________

2. 3,9�

13 _______________________________

3. 9�

,039 _______________________________

4. 4�

,958,509 ___________________________

Directions Write these numerals in words.

5. 52,609 _________________________________________________________________________

6. 2,582,844 ______________________________________________________________________

_________________________________________________________________________________

Directions Round these whole numbers to the nearest:

Ten Hundred Thousand7. 469 ________________ 8. 2,475,521 __________________ 9. 489 __________________

14. 34 � 704 � 331 � 1,002 � �� 15. 50,231 � 9,437 � ��

16. 5 ��75�51� 17. 46 ��47�29� 18. 32,048 � 16 � ��

19. 346 � 21 � �� 20. 24 � 8 � 4 � 2 � 2 � ��

Directions Perform the indicated operations.

Directions Round each answer to the nearest whole number.

10. 11. 12. 203� 36��

9,681� 773��

3,8411,382

� 800��

13. 1,024 � 10 � ��




Total Payments for Purchases

Kit financed $1,200 worth of furniture at 10% interest for 30 Months. Find Kit’s total payment.

Amount Rate Months$1,200 10% 30

Step 1 Look in the table. The payment at 10% for 30 months is $3.79

Step 2 Divide to find how many $100’s are in $1,200.

$1,200 � $100 � 12

Step 3 Payment for $100$100’s in $1,200Payment for $1,200MonthsTotal Payment

$ 3.79� 12��$ 45.48� 30��$1,364.40

EXAMPLE

Amount Rate Months TotalPayment

1. $ 1,200 7% 42 _____________

2. $ 1,100 10% 24 _____________

3. $ 4,200 13% 18 _____________

4. $ 2,300 8% 30 _____________

5. $ 1,500 12% 12 _____________

6. $ 2,600 5% 18 _____________

7. $ 1,400 9% 42 _____________

8. $10,500 6% 24 _____________

Amount Rate Months TotalPayment

9. $10,100 11% 18 _____________

10. $ 8,600 18% 30 _____________

11. $ 4,100 12% 12 _____________

12. $3,000 9% 30 _____________

13. $2,600 12% 18 _____________

14. $3,400 9% 24 _____________

15. $9,600 8% 30 _____________

16. $5,400 7% 18 _____________

Monthly Payments for Each $100 Financed

Rate 12 Mo. 18 Mo. 24 Mo. 30 Mo. 36 Mo. 42 Mo.4% $8.52 $5.74 $4.35 $3.51 $2.96 $2.565% $8.57 $5.78 $4.39 $3.56 $3.00 $2.616% $8.61 $5.83 $4.44 $3.60 $3.05 $2.657% $8.66 $5.87 $4.48 $3.65 $3.09 $2.708% $8.70 $5.92 $4.53 $3.69 $3.14 $2.749% $8.75 $5.96 $4.57 $3.74 $3.18 $2.79

10% $8.80 $6.01 $4.62 $3.79 $3.23 $2.8411% $8.84 $6.06 $4.67 $3.83 $3.28 $2.8812% $8.89 $6.10 $4.71 $3.88 $3.33 $2.9313% $8.94 $6.15 $4.76 $3.93 $3.37 $2.9814% $8.98 $6.20 $4.81 $3.97 $3.42 $3.0315% $9.03 $6.24 $4.85 $4.02 $3.47 $3.0816% $9.08 $6.29 $4.90 $4.07 $3.52 $3.1317% $9.13 $6.34 $4.95 $4.12 $3.57 $3.1818% $9.17 $6.39 $5.00 $4.17 $3.62 $3.2319% $9.22 $6.43 $5.05 $4.22 $3.67 $3.2820% $9.27 $6.48 $5.09 $4.27 $3.72 $3.3321% $9.32 $6.53 $5.14 $4.32 $3.77 $3.3922% $9.36 $6.58 $5.19 $4.37 $3.82 $3.4423% $9.41 $6.63 $5.24 $4.42 $3.88 $3.4924% $9.46 $6.68 $5.29 $4.47 $3.93 $3.5525% $9.51 $6.72 $5.34 $4.52 $3.98 $3.60

Directions Find the total payment for each of the purchases below.Follow the example and use the amortization table.




The Key to Perimeter

Rectangle Square

Rule Rule

P � 2(l � w) � 2( 6� � 3�) � 2 � 9� � 18 inches P � 4 � 3� � 12 inches

To find the perimeter of a square,multiply the side by 4.

To find the perimeter of arectangle, add the length andwidth, then multiply by 2

EXAMPLE

Dimensions Draw Figures Perimeter

l = 5� w = 4�

l =6� w =1�

l =3 w =2

l =29� w =12�

l =53 w =41

s = 2�

s = 7�

s = 11�

s = 9�

s = 38

l =3� w =5�

l =1� w =4�

l =7 w =3

l =27� w =11�

l =36 w =40

s = 6�

Directions Draw the figures on the grid provided. Then find the perimeters of the figures.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

6�

3�

3�

3�




Review of Basic Operations with Whole Numbers

1. 47 � 674 � __________________________

2. 7,260 � 467 � ________________________

3. 415 � 12 � __________________________

4. 45,461 � 54 � ________________________

5. 3,213 � 475 � ________________________

6. 3 � 12 � 394 � 822 � ______________

7. 37,372 � 25 � ________________________

8. 15 � 25 � 24 � _____________________

9. 1,271 � 321 � ________________________

10. 8,923 � 392 � 14,493 � ______________

11. 91,456 � 4,045 � _____________________

12. 1,675 � 483 � 184 � _________________

13. 6,101 � 50 � _________________________

14. 415 � 24 � 16 � 94 � ______________

15. 9,165 � 223 � ________________________

16. 366,365 � 47 � _______________________

17. 77,279 � 621 � 266 � _______________

18. 68,806 � 17,166 � ____________________

19. 60,433 � 44 � ________________________

20. 59,910 � 736 � _______________________

21. 60,449 � 8,553 � _____________________

22. 91,172 � 12,273 � ____________________

23. 43 � 11 � 27 � _____________________

24. 290 � 19 � 8 � _____________________

25. 8,233 � 9 � __________________________

26. 22,300 � 801 � _______________________

27. 29,980 � 17,838 � ____________________

28. 54 � 3 � 92 � 716 � _______________

29. 6,345 � 123 � 172 � __________________

30. 80,000 � 50 � ________________________

31. 912 � 18 � 9 � _____________________

32. 611 � 94 � 13 � 363 � _____________

33. 177 � 831 � 8,490 � _________________

34. 29,911 � 18 � ________________________

35. 29,902 � 12,360 � ____________________

36. 4,947 � 490 � ________________________

37. 563 � 74 � 384 � ___________________

38. 47,126 � 11 � ________________________

39. 87,992 � 72,630 � ____________________

40. 69,504 � 392 � 849 � _______________

41. 61,702 � 7 � _________________________

42. 10,574 � 5,392 � 19,504 � ___________

43. 4,876 � 300 � ________________________

44. 624,870 � 16 � _______________________

45. 9,273 � 311 � ________________________

46. 617 � 5,280 � 3,941 � _______________




Buying Paint

Robert is at the hardware store and must decide whether to buy paintin 18 individual quart cans or to buy it in both gallon and quart cans.Here are the facts: 4 quarts � 1 gallon 1 quart costs $3.89 1 gallon costs $14.95What should Robert do?

Step 1 Step 2 Step 3 Find the cost.

Robert should purchase 4 gallons and 2 quarts.

$59.80� 7.78��$67.58

Cost per quart

Cost of 2 quarts

Cost of 4 gallonsCost of 2 quartsTotal cost

$ 3.89� 2��$ 7.78

Four gallons and 2 quartsare equal to 18 quarts.

Cost per gallon

Cost of 4 gallons

$14.95� 4��$59.80

4 Gallons4 ��1�8�� 16��

2 Quarts

$3.89� 18��$70.02

Find out how manygallons to buy.

Find the costof 18 quarts.

EXAMPLE

Directions Copy and complete this chart. Remember: 1 gallon costs $14.95 and 1 quart costs $3.89.

Quarts Amount to Buy Cost

Required Gallons Quarts Gallons Quarts Total

13

75

22

12

11

5

30

59

45

15

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.




Buying Wallpaper

Gloria plans to paper her bedroom, which measures 9 x 12 � 8. Each double roll of wallpaper covers 144 sq ft. How many double rolls of wallpaper should she buy?

Step 1 Find the perimeter of the floor 9 x 12. Step 2 Find the area of the 4 walls. Multiply the perimeter by the height.

Step 3 Divide the area by 144 square feet to find the number of rolls needed.

Gloria should purchase 3 double rolls of wallpaper.

Double rolls of wallpaperArea of room

Square feet remaining

2144 ��3�3�6�

� 288��48

PerimeterHeightArea of 4 walls

42

� 8��336 sq ft

P � 2(9 � 12)� 2(21)� 42

EXAMPLE

Directions Calculate the number of double rolls of wallpaper needed to papereach of these rooms. The third measurement for each room is the height.

Dimensions of Room Area of Walls Double Rolls

7.5 � 9.5 � 8

14 � 15 � 10

15 � 11 � 8

19 � 17 � 8

8.5 � 11.5 � 8

22 � 11 � 8

15.5 � 18.5 � 10

9 � 11.2 � 10

12.9 � 23.8 � 8

30 � 18 � 8

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

8

912




Covering the Floor

Mary Lou decides to buy square tiles to cover her bathroom floor. Each square measures 12� � 12� and costs $1.19. How much will it cost to cover her 12 � 7 floor?

Step 1 Find the area that each tile covers.12 inches � 1 foot1 � 1 � 1 square foot

Step 3 Multiply the number of tiles by thecost per tile.

Cost per tileNumber of tilesTotal cost

$ 1.19� 84��$99.96

Step 2 Find the number of square feet offloor that needs to be covered.Area � l � w

� 12 � 7

� 84 square feetSince each tile covers 1 squarefoot, Mary Lou needs 84 tiles.

EXAMPLE

Directions Find the cost of covering these floors with 12� � 12� tiles.

Cost per Tile Floor Dimensions Cost of Flooring(in feet)

1. $0.69 10 � 7 _______________________________________

2. $1.39 18 � 9 _______________________________________

3. $2.39 9 � 15 _______________________________________

4. $1.99 11 � 16 _______________________________________

5. $2.19 12 � 19 _______________________________________

6. $1.15 10 � 19 _______________________________________

7. $2.75 12 � 17 _______________________________________

8. $4.19 8 � 18 _______________________________________

9. $3.79 8 � 17 _______________________________________

10. $5.19 13 � 16 _______________________________________

11. $4.85 12 � 7 _______________________________________

12. $0.95 17 � 7 _______________________________________

13. $1.45 10 � 14 _______________________________________

14. $3.09 9 � 15 _______________________________________

15. $2.09 12 � 20 _______________________________________




Computing Length of Molding

Soo Lee wants to finish her bathroom by installing molding around the room. How much quarter-round molding should she buy for the 9 x 8 room?

Find the perimeter of the room.

P � 2(l � w)

� 2(9 � 8)

� 2(17)

� 34

Soo Lee needs 34 feet of molding.

EXAMPLE

Directions Draw each room. Calculate the amount of molding needed for each of these rooms.

Dimensions of Room Diagram of Room Molding Needed

15 � 7

17 � 9

15 � 8

13 � 12

10 � 11

7 � 10

9 � 13

9 � 14

1.

2.

3.

4.

5.

6.

7.

8.




Wall-to-Wall Carpeting

Claudia wants wall-to-wall carpeting in her room, which measures 12 � 7. Carpeting is on sale for $9.99 per square yard. Estimate the cost. Round answers where possible.

Step 1 Find the area of the floor in square feet.Area � l � w

� 12 � 7

� 84 square feet

Step 3 Round the cost per square yard to the next whole number. Round 9 sq yd and 3 sq ft to 10 sq yd. Multiply the number of square yards by the cost per square yard.

$9.99 � $10.0010 � $10.00 � $100.00

Claudia’s estimated cost is $100.00.

EXAMPLE

Directions Estimate the cost of carpeting these floors.

Step 2 Find the area in square yards. Onesquare yard � 9 square feet. Divide by 9to find the number of square yards.

9 sq yd � 10 sq yd9 ��8�4�� 81��

3 sq ft

Floor Dimensions Cost per Sq Yd Estimated Cost

18 � 8 $9.89

. 22 � 17 $10.95

13 � 16 $15.90

103� � 149� $10.99

138� � 1510� $8.92

11 � 142� $11.97

73� � 14 $13.90

95� � 10 $12.99

14 � 17 $8.92

106� � 1710� $19.99

77� � 94� $12.89

24 � 19 $10.95

128� � 159� $8.89

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2.

3.

4.

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6.

7.

8.

9.

10.

11.

12.

13.




Find the Selling Price

When stores set a selling price for an item, managers must consider howmuch they have to pay for it (cost), how much it costs to pay employees,store rent, and other expenses (overhead), and how much profit they want.

Cost Overhead Profit$25.04 18% 10%

Step 1 Step 2 Add 100% for the cost. Step 3

$25.04 Cost� 1.28 Markup��$32.06 Selling Price

28%� 100%��

128% Cost � Markup Percent

18% Overhead� 10% Profit��

28% Markup Percent

Multiply the cost bytotal percent.

Add the percentages foroverhead and for profit.

EXAMPLE

Directions Compute the selling price for each of these materials.Round fractions of a cent to the next higher cent.

Cost Overhead Profit Selling Price

1. $10.55 14% 10% _______________________

2. $21.79 5% 50% _______________________

3. $15.14 7% 15% _______________________

4. $9.67 8% 10% _______________________

5. $35.98 15% 25% _______________________

6. $16.72 10% 90% _______________________

7. $13.95 20% 20% _______________________

8. $12.66 16% 30% _______________________

9. $25.10 42% 56% _______________________

10. $16.14 6% 55% _______________________

11. $372.10 14% 33% _______________________

12. $56.98 37% 18% _______________________

13. $82.76 17% 10% _______________________

14. $40.11 25% 25% _______________________

15. $67.89 11% 100% _______________________




Insulation

Claude is insulating his attic. How much will it cost if the price of insulation is $20.99 per 100 square feet?

Step 1 Divide the irregular figure into rectangles.

Step 2 Finding the missing dimension.

Step 3 Find the areas.

Area B � l � w� 30 � 21

� 630 square feet

Area A � l � w� 21 � 19

� 399 square feet

EXAMPLE

Directions Round your answers to the nearest cent.

Find the cost of insulating each of these spaces.

Step 4 Add these areas to find the total area.

Step 5 Divide the total area by the number ofsquare feet per roll of insulation.

Step 6 Multiply the cost per roll by the numberof rolls of insulation needed.

Cost per rollNumber of rollsTotal cost to insulate attic

$20.99� 11��$230.89

11 rollsRound up for anyremainder

10.3100 ��1�,0�2�9��

399 sq ft� 630 sq ft��1,029 sq ft

30

219

19

30

219

A B

19

21

Bonus Points!

Prices for Rolls of InsulationBrand A Brand B Brand C Brand D

Size of Rolls 88 sq ft 100 sq ft 75 sq ft 48 sq ft

Cost of Rolls $1749 $2099 $1499 $1769

Cost per sq ft

1. Brand C

2. Brand A

3. Brand B

4. Brand D

36

25

34

24

17

8�

9�

49

24

36

14

13

38

13

25

37

13

Seeding Lawns

Nathan wants to reseed his lawn. One bag of grass seed contains 50 lbof seed and it costs $58.00. It takes 25 lb to cover an acre. Nathan wantsto know how much this seed costs per acre.

Step 1 Find the number of bags needed to cover an acre.

Nathan will pay $29.00 per acre to seed his lawn.

.5 bag needed to cover 1 acre50 ��2�5�.0� lb per acre

Step 2 Find the cost per acre.

$ 58.00� .5��$ 29.00




EXAMPLE

Directions Find the number of bags needed to cover an acre and the cost per acre.

Contents Cost per Coverage Bags to CostGrass Seed (lb per bag) Bag (lb per acre) Cover 1 Acre per Acre

Bluegrass 50 $62.00 25



Bahiagrass 50 $50.25 25




Bermuda Grass 25 $117.25 90




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11.




Writing Feet as Yards

Janet needs 218 feet of chain link fencing to surround her circular vegetable garden. The materials are sold by the yard. How many yards should she purchase?

Divide the number of feet by 3 per yard. Round up to the next yard.

Janet should purchase 73 yards of chain link fence.

72 � 73 yards3 ��2�1�8�� 21��

8� 6��

2

EXAMPLE

Directions Find the number of yards in these measurements. Round up to the next yard.

1. 240 ft ___________________

2. 396 ___________________

3. 171 ___________________

4. 267 ___________________

5. 774 ___________________

6. 408 ___________________

7. 390 feet ___________________

8. 330 ft ___________________

9. 441 ft ___________________

10. 277 ___________________

11. 426 ___________________

12. 276 ___________________

13. 478 ___________________

14. 302 feet ___________________

15. 126 ft ___________________

16. 1,435 ___________________

17. 2,107 ___________________

18. 728 ___________________

19. 1,456 ___________________

20. 4,263 ___________________

21. 105 ___________________

22. 328 ___________________

23. 854 ___________________

24. 902 ___________________

25. 115 ___________________

26. 729 ___________________

27. 555 ___________________

28. 608 ___________________

29. 518 ___________________

30. 303 ___________________




Using Map Scales

Mercedes is planning a road trip from Baltimore to Chicago. On the map

the two cities are 4 �116� inches apart. The map is drawn to scale so that

�11

16�� equals 100 miles. Estimate the distance between these two cities.

Step 1 Write the map scale proportion. Step 2 Solve the proportion.

��

��

100 � 4 �116� � �

11

16� �

100 � �61

56� � �

11

16� �

100 � �61

56� � �

11

61� �

100 � 65 � 11 � 591 miles

Mercedes estimates that her trip will be about 591 miles.

4 �116� �

��Balto to Chi

�11

16�

�100

4 �116� �

��Balto to Chi

�11

16�

�100

EXAMPLE

On the back of this paper, suggest reasons why the mileage table and estimates are not equal.

Directions Find the estimated distance between the following cities using the map scale of �

11

16�� = 100 miles. Find the difference between

the estimated distance and the distance from the mileage table.

Departure Destination Distance Estimated Mileage Difference City City On Map Distance Table in Miles

Boston, MA Miami, FL 8 �58

� � 1,520 miles

Denver, CO Houston, TX 5 �78

� � 1,034 miles

San Francisco, CA Kansas City, KS 10� 1,861 miles

Minneapolis, MN Little Rock, AR 4 �78

� � 825 miles

Los Angeles, CA Seattle, WA 6 �38

� � 1,134 miles

Toronto, ON Montreal, PQ 2 �14

� � 337 miles

Salt Lake City, UT Calgary, AB 4 �34

� � 883 miles

Richmond, VA Charleston, WV 1 �58

� � 315 miles

Carson City, NV Boise, ID 2 �176� � 452 miles

Nashville, TN Montgomery, AL 1 �34

� � 282 miles

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10.




The Interstate System

The naming of the routes in the Interstate System follows rules.

1. All north-south roads are odd one- or two-digit numbers. I-39 is a north-south road.

2. All east-west routes are even two-digit numbers. I-72 is an east-west road.

EXAMPLE

Directions This map shows some of the interstate highways in Illinois.Answer these questions about the highways.

1. What direction does I-57 travel? ____________________

2. What direction does I-88 travel? ____________________

3. If you want to travel south from Chicago, should you take I-80 or I-57? ____________________

4. If you want to travel east from Springfield, should you take I-72 or I-55? ____________________

90

39

39

55

57

94

29488

8080

74

Springfield

74

72

72

57

57

24

64

64

70

7055

55

88

N

S

EW

Chicago




Elapsed Time

Find the elapsed time from 7:35 A.M. to 10:15 A.M.

Subtract earlier time from later time. Rename 1 hour � 60 minutes, if necessary.

The elapsed time from 7:35 A.M. to 10:15 A.M. is 2 hours and 40 minutes.

� 9 hours 75 minutes� � 7 hours 35 minutes��

2 hours 40 minutes

10:15 A.M.� 7:35 A.M.��

EXAMPLE

9. From 10:34 A.M. to 11:17 A.M.

10. From 6:51 P.M. to 9:04 P.M.

11. From 2:22 A.M. to 7:01 A.M.

12. From 3:15 P.M. to 10:10 P.M.

13. From 1:46 P.M. to 4:27 P.M.

Directions Solve the following problems. Rename one hour to 60 minutes when necessary.

1.

2.

3.

4.

5.

6.

7.

8. 4:17 P.M.� 1:43 P.M.��

6:10 P.M.� 3:26 P.M.��

8:45 P.M.� 1:57 P.M.��

12:35 P.M.� 9:50 P.M.��

11:15 P.M.� 8:45 P.M.��

10:04 P.M.� 2:18 P.M.��

9:10 A.M.� 5:15 A.M.��

7:05 A.M.� 4:40 A.M.��




Bus Travel Times

Erik looked up times for a bus trip between Baltimore and New York.Find the arrival time if the duration of the trip is 3 hours and 50 minutesand the departure time is 6:10 P.M.

Step 1 Add the departure time to the duration of the trip.

The train from Baltimore to New York will arrive at 10:00 P.M.

6:10 P.M.� 3:50 duration��

9:60 P.M.

EXAMPLE

Step 2 Rename 60 minutes to 1 hour.

9:60 P.M. � 10:00 P.M.

Directions Find the arrival time for each of these bus trips from Baltimore to New York.

Departure Time Arrival Time Duration of Trip

07:00 A.M. 4 hours, 10 minutes





12:01 P.M. 5 hours, 19 minutes







08:30 P.M. * 4 hours, 10 minutes

10:30 P.M. * 3 hours, 40 minutes

1.

2.

3.

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6.

7.

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9.

10.

11.

12.

13.

14.* These times are for the next morning.




Hotel Rates

Andante’ and her husband stay in a hotel with their two children. Theroom rate is $167.00 per night. There is a 10% room tax. What is theircharge for a 4-night stay?

Step 1 Find the total room charge. Step 2 Add the tax.

100% for the room plus 10% for the tax � 110%

$668.00 x 110% � $734.80

The total cost for Andante’s family to stay in the hotel room for 4 nights is $734.80.

per nightnightsroom charge

$167.00� 4��$668.00

EXAMPLE

Room Rate Nights Room Charge Percent Tax Total Cost

$125.00 4 12%

$204.00 1 15%

$197.00 6 20%

$84.00 3 14%

$163.00 5 12%

$180.00 2 13%

$305.00 8 10%

$187.00 6 15%

$271.00 2 21%

$309.00 5 17%

$1,345.00 4 15%

$66.00 6 12%

$904.00 3 18%

$315.00 8 25%

$198.00 2 12%

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Directions Complete this table. First find the total cost of the room charge.Then find the amount of tax and add it to the room charge




Division Practice

Often division results in a zero in the quotient. Be certain to notice eachdivision and place a zero correctly.

Remember to place this 0 in the problem and in the answer.

10917 ��1�8�5�3�

17��15

0��153153��

EXAMPLE

1. 7 ��2,�12�8� 2. 10 ��11�,0�90� 3. 8 ��8,�27�2�

4. 5 ��2,�54�0� 5. 6 ��6,�19�8� 6. 4 ��32�,3�64�

7. 12 ��7,�44�0� 8. 15 ��30�,7�50� 9. 21 ��9,�24�0�

10. 26 ��2,�67�8� 11. 43 ��44�,2�90� 12. 18 ��14�,5�26�

13. 52 ��6,�24�0� 14. 61 ��12�,3�22� 15. 19 ��2,�09�0�

Directions Divide.




Exchange Currency

Table of Currency Exchange Rates

William exchanges 50 U.S. dollars for Danish kroner. How many kronerwill he receive?

Multiply the exchange rate for one U.S. dollar times the U.S. dollaramount.

8.43 kroner � $50 � 421.50 kroner � 422

William will receive 422 kroner in exchange for 50 U.S. dollars.

EXAMPLE

Number of Units Number of UnitsCurrency That Equal Currency That Equal

Country Name One U.S. Dollar Country Name One U.S. Dollar

Australia dollar 1.87 dollars Japan yen 131.55 yen

Brazil real 2.32 reals Mexico peso 9.19 pesos

Britain pound 0.69 pounds South Africa rand 11.9 rands

Canada dollars 1.60 dollars Sweden krona 10.61 kronor

China yuan 8.28 yuan Switzerland franc 1.68 francs

Denmark krone 8.43 kroner Thailand baht 44.18 baht

Directions Find the amount of native currency that will be exchanged for $50 U.S. Use the chart above.

Number of UnitsThat Equal

Country 50 U.S. Dollars

Australia

Brazil

Britain

Canada

China

Denmark 422 kroner

1.

2.

3.

4.

5.

6.

Number of UnitsThat Equal

Country 50 U.S. Dollars

Japan

Mexico

South Africa

Sweden

Switzerland

Thailand

7.

8.

9.

10.

11.

12.




Computing Rental Charges

Jobs on Wheels rented a van for $50 per day and $0.40 per mile. Find the rental charge for five days and 306 miles.

Jobs on Wheels’ rental charge was $372.40.

$250.00 Day charge$122.40 Mile charge��$372.40 Total

$ 306 Miles� .40 Per mile��$122.40 Miles charge

$ 50 Per day� 5 Days��$250 Day charge

EXAMPLE

Directions Compute the rental charge for each item below.The answer to number 1 is $320.00

Days Cost per Cost per Miles RentalDay Mile Driven Charge

1. 5 $40 $0.30 400 _________________

2. 3 $37 $0.31 352 _________________

3. 6 $19 $0.35 110 _________________

4. 2 $56 $0.26 191 _________________

5. 1 $18 $0.36 37 _________________

6. 5 $29 $0.20 217 _________________

7. 3 $44 $0.23 186 _________________

8. 4 $37 $0.44 249 _________________

9. 4 $48 $0.30 235 _________________

10. 3 $52 $0.33 181 _________________

11. 5 $39 $0.29 801 _________________

12. 2 $29 $0.34 75 _________________

13. 1 $35 $0.27 56 _________________

14. 3 $42 $0.36 310 _________________

15. 6 $52 $0.28 487 _________________

16. 2 $46 $0.25 56 _________________

17. 2 $19 $0.37 39 _________________




Parking Expenses

The sign at the right lists the rates at the Airport Parking Lot.Aretha parks her car on Tuesday at 9:15 pm and leaves the loton Friday at noon. How much does she pay in parking rates forthe time her car was at the Airport Parking Lot?

Step 1 Find the parking time on Tuesday Step 2 Find the cost for Tuesday

Step 3 Find the cost for Wednesday and Thursday. Step 4 Find the cost for Friday

Step 5 Total the daily costs

Aretha must pay $41.00 for the Airport Parking Lot parking.

$ 5.00 Tuesday24.00 Wednesday & Thursday

� 12.00 Friday��$41.00 Total

$2.00 First hour$1.50 � 11 remaining hours � $16.50Cost for Friday is $12.00 maximum

$12.00 Wednesday12.00 Thursday��

$24.00

$2.00 First hour1.50 Second hour

� 1.50 Last 45 minutes��$5.00

12:00� 9:15��

2 hours 45 minutes � 3 hours

EXAMPLE

Directions Find the cost for parking at the Airport Parking Lot for the following times.

1. Sunday, 1:45 P.M. to Thursday, 5:55 P.M.

2. Monday, 10:15 P.M. to Saturday, 6:00 A.M.

3. Wednesday, 5:42 P.M. to Monday, 9:10 A.M.

4. Friday, 11:56 P.M. to Monday, 1:25 A.M.

5. Tuesday, 7:30 P.M. to Thursday, 1:45 A.M.

Airport Parking Lot Rates

$2.00 for the first hour$1.50 for each additional hour$12.00 maximum per day




What Time Is It?

The map shows the United States divided into four time zones.

If it is 10:20 A.M. in Cleveland, what time is it in Tulsa?

Solution: Tulsa is 1 time zone west of Cleveland. Therefore, the time in Tulsa is 1 hour earlier: 9:20 A.M.

EXAMPLE

Directions Use the map to compute the time for each of the following problems.

If the time in… Is… The time in… Is?

1. Cheyenne 8:55pm Atlanta ___________________

2. Pittsburgh 6:05am Boise ___________________

3. Atlanta 12:18am Salt Lake City ___________________

4. St. Louis 4:23am Minneapolis ___________________

5. Denver 11:44pm New York ___________________

6. San Diego 3:39pm Tulsa ___________________

7. Salt Lake City 5:05pm Sacramento ___________________

8. Miami 10:49pm San Diego ___________________

9. New York 1:36pm Atlanta ___________________

10. Tulsa 7:11pm Miami ___________________

11. Boise 2:37pm Dallas ___________________

12. Eugene 9:20am Los Angeles ___________________

13. Cleveland 10:54pm Des Moines ___________________

Pacific Mountain Central EasternTime Time Time Time

9:00 A.M. 10:00 A.M. 11:00 A.M. 12:00 Noon

Los Angeles•

•Boise

•SaltLakeCity

Cheyenne•

•Eugene

San Diego• Dallas•

•Denver

•St. Louis

•Tulsa

•Minneapolis

•Des MoinesSacramento•

Pittsburgh• •New York

City

•Louisville

•Atlanta

Miami•

•Cleveland




Time Zones

EXAMPLE

Directions Find the time in the various United States time zones for the given time.

Alaska- Pacific Mountain Central EasternBering Hawaiian Yukon Standard Standard Standard StandardTime Time Time Time Time Time Time

6:00 A.M. 7:00 A.M. 8:00 A.M. 9:00 A.M. 10:00 A.M. 11:00 A.M. 12:00 noon

10:00 A.M.

3:35 A.M.

11:45 A.M.

1:04 P.M.

6:22 P.M.

8:04 A.M.

7:54 P.M.

1.

2.

3.

4.

5.

6.

7.

Time Zonesof the

United StatesAlaska

6:00 A.M.BERINGTIME

9:00 A.M.PACIFICTIME

7:00 A.M.ALASKA-HAWAII

TIME8:00 A.M.YUKON TIME

N

Dallas

Seattle

San Francisco

Phoenix

Dallas

MiamiMiamiMiami

Seattle

San Francisco

Phoenix

Time zone boundaries

9:00 A.M.PACIFICTIME 10:00 A.M.

MOUNTAINTIME 11:00 A.M.

CENTRALTIME

12:00 NOONEASTERNTIME

AtlanticOcean

PacificOcean

Hawaii

7:00 A.M.ALASKA-HAWAII

TIME

PacificOcean

ChicagoChicago

New YorkNew YorkNew York City

Seattle




Zeros in the Quotient

0.01449 � 0.23 �

Write this: 0.0630.23 ��0�.0�1� 4�4�9�

� 1 38��69

� 69��

EXAMPLE EXAMPLE 2.9484 � 4.2 �

Write this: 0.7024.2 ��2�.9� 4�8�4�

� 2 9 4��84

� 84��

Directions Divide.

Directions Write these in standard form and divide.

1. 6.2 ��24�.8�62�

2. 3.5 ��0.�21�7�

3. 4.1 ��0.�09�43�

4. 2.8 ��5.�76�8�

5. 3.6 ��3.�85�2�

6. 0.17 ��0.�00�22�1�

7. 0.025 ��0.�12�52�5�

8. 2.2 ��0.�06�16�

9. 0.71 ��78�.1�71�

10. 0.033 ��0.�39�63�3�

11. 14 ��0.�54�6�

12. 0.58 ��3.�51�48�

13. 0.71 ��22�.7�27�1�

14. 49 ��0.�44�59�

15. 5.4 ��5.�72�4�

16. 0.22 ��2.�64�22�

17. 8.6 ��8.�60�86�

18. 0.92 ��1.�84�92�

19. 0.160 ��12�.8�16�

20. 0.007 ��0.�07�72�1�

21. 0.73767 � 0.67 � ____________________

22. 0.04505 � 0.005 � ___________________

23. 0.00946 � 0.86 � _____________________

24. 0.31512 � 1.56 � _____________________




Preparing a Budget

In one week Carlos had take home pay of $1,246.16. He spent $311.54for food for his family of six. What percent of his income did Carlosspend for food?

Step 1 Divide the food expense Step 2 Write the decimal as a percent.by Carlos’ take-home pay.

.25 � 25%

Carlos spent 25% of his take-home pay for food.

.251246.16 ��3�1�1�.5�4�

EXAMPLE

Directions Solve the following problems. Round your answers to the nearest percent or nearest cent.

1. Jason spends $240.00 on rent out of a monthly income of $857.14.What percent of his monthly income did Jason spend on rent?

2. Arielle spends $15.80 on transportation in a week. What percent of herweekly paycheck of $131.67 goes to transportation costs?

3. Dagmar brings home $3,000 monthly. Her food bills are $540 in a month.What percent of her monthly income is spent for food?

4. Jennifer plans to spend 5% on insurance. How much is allowed in abudget of $450?

5. Griffith puts away $180 from his monthly take home pay of $2,000. Whatpercent does he save?

6. Rachel spent $150.00 one month on clothing. Her total budget of $1,740.00included 9% for clothes. Did she spend within her budget? How do you know?

7. Hailey saved $1,200 in a given year. What percent of her annual take homepay of $25,300 was saved?

8. Logan purchased 12 DVD titles for a total of $324.96 in a year. His annualbudget of $27,080.00 provides for an entertainment allowance of 5%.What percent did Logan spend on the DVDs?

9. Challenge: How much was left over in Logan’s entertainment budget forother forms of entertainment that year?




Finding the Percent One Number Is of Another

What percent of 35 is 7?

Step 1 Write a fraction with the number following “of” as a denominator.

Step 2 Simplify the fraction.

Step 3 Rename the fraction as a percent.


EXAMPLE EXAMPLE 10 is what percent of 80?

�18

00�

�18

00� � �

18

�

10 is 12.5% of 80.

0.125 � 12.5%�18

� � 8 ��1�.0�0�

�375�

�375� � �

15

�

0.20 � 20%�15

� � 5 ��1�.0�0�

Directions Find the percents.

1. What percent of 100 is 5? _______________

2. 10 is what percent of 25? ________________






8. 163 is what percent of 326? ______________


10. What percent of 12 is 9? ________________


12. What percent of 100 is 57? ______________


14. What percent of 1,000 is 50? _____________

15. What percent of 300 is 60? ______________

16. 16 is what percent of 100? _______________


18. 1 is what percent of 7? _________________






Review of Basic Operations with Fractions

1. � � ____________

2. � � ____________

3. � � ____________

4. 5 � 2 � _________

5. 2 � 2 � ____________

6. 18 � 8 � __________

7. 10 � � _____________

8. 1 � � __________

9. 43 � 31 � _______

10. 6 � � __________

11. 2 � � _____________

12. 10 � 9 � _______

13. 1 � � _____________

14. � 2 � _____________

15. 13 � 3 � ________

16. 10 � 2 � ________

17. � � ___________

18. � 2 � __________

19. 5 � � ___________

20. 19 � 9 � ___________

21. 27 � � __________

22. � � ___________

23. 18 � 12 � _______

24. 21 � 12 � _________

25. 65 � 64 � _________

26. 18 � 15 � _________

27. � 1 � __________

28. � 2 � ___________

29. 12 � 1 � _______

30. � � ___________

31. 5 � 2 � _________

32. 15 � 9 � ________

33. � � ____________

34. 2 � 2 � ________

35. 34 � 30 � ______

36. 87 � � ___________

37. 6 � 1 � ________

38. 17 � � ____________

39. � � ___________

40. 4 � 3 � ________

41. 16 � 14 � _______

42. 1 � 3 � ____________

43. 4 � 32 � ________

44. 12 � 1 � ________

45. 69 � 1 � ________

46. 19 � 1 � _______

47. 146 � � __________

48. 52 � 18 � _________12�35

1�30

2�13

14�15

4�9

5�9

1�2

9�28

5�7

1�4

2�5

2�15

1�5

15�17

12�17

66�77

9�14

1�5

1�34

4�11

2�21

24�26

37�39

7�15

8�15

2�5

36�65

1�6

11�18

3�5

4�5

3�19

2�13

21�22

10�11

1�5

1�5

1�10

1�5

23�24

1�25

12�13

3�5

4�15

16�18

27�50

5�9

43�81

6�7

6�7

2�7

3�7

21�24

8�60

11�20

3�27

1�9

6�7

1�42

16�72

23�24

16�25

47�50

13�14

7�8

1�24

7�72

2�9

5�9

2�13

7�8

12�23

2�7

2�5

38�45

7�8

19�24

3�8

53�56

3�7

5�14




Using Circle Graphs

Jon’s automotive budget provides for a $225 car payment, $80 for fuel, and $25 for general maintenance. Draw a circle graph to show the percent budgeted in each category.

Step 1 Find the total amount Step 2 Find the percentof his budget. in each category.

Step 3 Find the degrees for Step 4 Draw the circle chart.each category.

Check that the degrees total 360. Some error may occur due to rounding.

68% � 360 � 245°24% � 360 � 86°8% � 360 � 29°

225 � 330 � 68%80 � 330 � 24%25 � 330 � 8%

$22580

� 25��$330

EXAMPLE

Directions Draw circle graphs for each problem. Each chart is marked in 20 degree sections. Draw in your own lines to show your answers.

1. Brian’s monthly insurance budget covers $5 life insurance, $25 healthinsurance and $150 renters insurance, and $100 auto insurance. Draw a circle graph to show the percent budgeted in each category.

2. Sylvia is saving $5 per week of her food budget to buy her chinaservice. She also budgets $115 for groceries, $35 for lunches at work, and $25 for paper goods. Draw a circle graph to show howmuch is budgeted for each category.

8%maintenance

24% fuel

68%car payment




Review of Basic Operations with Decimals

1. 5.6 � 8 � 0.273 � __________________

2. 63.75 � 7.5 � _______________________

3. 7.8 � 0.264 � _______________________

4. 6 � 7.8 � 5.54 � ___________________

5. 7.8 � 0.64 � _________________________

6. 7.3 � 1.72 � _________________________

7. 35.855 � 7.1 � ______________________

8. 16 � 1.7 � 0.989 � _________________

9. 10 � 0.9032 � _______________________

10. 4.088 � 0.28 � ______________________

11. 0.0837 � 0.46 � _____________________

12. 58 � 2.53 � 6 � 0.94 � ____________

13. 1,006 � 2.6 � _______________________

14. 0.1435 � 0.07 � _____________________

15. 1.15 � 0.59 � _______________________

16. 9 � 0.99 � __________________________

17. 8.7 � 0.69 � _________________________

18. 3.672 � 1.2 � _______________________

19. 2.4 � 87 � 0.52 � __________________

20. 9.66 � 0.008 � ______________________

21. 6.04 � 5.7 � _________________________

22. 3 � 2.701 � _________________________

23. 143 � 33 � __________________________

24. 101.1 � 11.11 � 1.1 � _______________

25. 9.2 � 0.076 � _______________________

26. 92 � 0.57 � _________________________

27. 33.3 � 6.912 � ______________________

28. 0.6211 � 0.61 � _____________________

29. 40.6 � 5.6 � _________________________

30. 9 � 2.8 � 6 � 15.99 � _____________

31. 701.11 � 42.661 � ___________________

32. 39.06 � 9 � 8.76 � 8 � ____________

33. 143 � 11 � __________________________

34. 68.7 � 1.5 � _________________________

35. 0.027 � 0.009 � _____________________

36. 3.1 � 2.009 � _______________________

37. 0.509 � 0.707 � _____________________

38. 0.00528 � 0.008 � ___________________

39. 37 � 8.6 � 0.009 � _________________

40. 0.09871 � 0.00996 � _________________

41. 0.039 � 0.02005 � ___________________

42. 73.87 � 6.5 � 5 � 0.196 � _____________

43. 1,020.6 � 27 � ______________________

44. 1 � 0.9016 � ________________________

45. 0.0909 � 7.8 � ______________________

46. 101.01 � 100.192 � __________________

47. 479.030 � 0.008 � 0.9 � _____________

48. 1.0201 � 5.1 � ______________________




Simple Interest

Chen lends $3,500 to his sister, Mai, who pays him 5% simple interesteach year. At the end of three years Mai will pay back the loan. What isthe total amount repaid?

Step 1 Find the Interest Step 2 Find the total amount repaid.

Recall $3,500� 525��$4,025

I � P � R � TI � $3,500 � .05 � 3

� $525

EXAMPLE

Directions Complete the chart. Round amounts to the nearest cent.

Principal Rate Years Interest Total AmountRepaid

$200 6% 2

$1,500 3% 4

$2,500 9% 5

$1,750 7% 3

$1,400 5% 4

$800 6% 2

$23,000 8% 6

$1,500 7.0% 3

$10,000 6.5% 7

$6,000 9.2% 5

$5,000 8.10% 4

$10,000 6.125% 10

$1,500 7.500% 3

$2,500 9.090% 2.5

$13,000 5.560% 10.5

$8,000 8.135% 8.5

$5,000 8.234% 4.5

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Compound Interest over Two Years

Principal Annual Rate Time in Years$500 4% 2

Compute the balance and the total interest. To save time use the rate104%. This eliminates an adding step. 100% represents the principaland 4% the annual rate.

Step 1 Step 2

Step 3 Step 4

After two years the balance is $540.80, and the total interest is $40.80.

$540.80 New balance� 500.00 Principal��

$40.80 Interest

$520 New balance� 1.04��20 80

520 0��$540.80 Balance after 2nd year

$ 500 Principal� 1.04��

20 00500 0��

$520.00 Balance after 1st year

100% Principal� 4% Annual rate��104% 1st year’s interest

EXAMPLE

Directions Compute the balance and the total interest for each of these 2-year loans. Round to thenearest cent, if necessary.

1. $500 3% ________ ________

2. $600 4% ________ ________

3. $900 6% ________ ________

4. $400 9% ________ ________

5. $300 6% ________ ________

6. $250 2% ________ ________

7. $360 7% ________ ________

8. $220 8% ________ ________

9. $850 5% ________ ________

10. $200 8% ________ ________

11. $800 7% ________ ________

12. $900 4% ________ ________

13. $700 7% ________ ________

14. $1,600 1% ________ ________

15. $900 4% ________ ________

16. $500 7% ________ ________

17. $600 3% ________ ________

18. $1,200 5% ________ ________

19. $800 4% ________ ________

20. $900 2% ________ ________

21. $400 6% ________ ________

22. $1,000 1% ________ ________

Principal Annual Balance InterestRate

Principal Annual Balance InterestRate




Doubling Your Money

Juan wants to know the difference between how long his money woulddouble at simple interest and annually compounded interest. Juan wants hissavings to double in 9 years. What should his annual rate of growth be?

Simple Interest Rate Annually Compounded Rate

8%9 ��7�2��

11.111 � 11%9 ��1�0�0�.0�0�

EXAMPLE

Directions Find the interest rates to double your money. Round to the nearesttenth of a percent. Then compare the two sets of answers. Write a sentence onthe bottom of the page to explain what you noticed.

Patterns I noticed:

AnnuallyCompounded

Years to Double Simple Interest Interest

20 years

10 years

8 years

7 years

5 years

9 years

6 years

2 years

4 years

3 years

4 years 6 months

6 years 6 months

5 years 6 months

7 years 3 months

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Directions Write a check to each of these people or places. Use the blankchecks in Activity 110.

Payee Amount Date Purpose

1. Central School $26.94 October 16, 2004 school sweatshirt

2. Carol Williams $137.11 October 23, 2004 piano lessons

3. The Cycle Shop $37.49 May 3, 2005 bicycle repair

4. Dental Group Inc. $403.64 December 23, 2005 dentist

5. The Health Club $25.50 October 25, 2005 membership

6. Grooming Place $31.50 February 5, 2005 dog grooming

Writing Checks

NO.

7-89��DATE �� 520

PAY TO THEORDER OF �� $ ��

�� DOLLARS

RIVER BANK and Trust Company

FOR ��

�052000896�0772752 2410 2

Your NameYour AddressYour City, State, Zip

Drawer’s name Date checkand address is written Check number

Payee

Amount of checkin words

Purpose of check

Account number Drawer’s signature

520 ABA or bank ID number

Amount of checkin numbers

Sample Check




Blank Checks

No. ��

Date��

To ��Dollars Cents

BAL. FWD.

DEPOSITS

TOTAL

THIS CHECK

BALANCE

DEDUCTIONS

BAL. FWD.

NO.

7-89��DATE �� 520


�� DOLLARS

RIVER BANK OF COLUMBUS

FOR ��

�052000896�0772752 2410 2

No. ��

Date��


BAL. FWD.

DEPOSITS

TOTAL

THIS CHECK

BALANCE

DEDUCTIONS

BAL. FWD.

NO.

7-89��DATE �� 520


�� DOLLARS


FOR ��

�052000896�0772752 2410 2

No. ��

Date��


BAL. FWD.

DEPOSITS

TOTAL

THIS CHECK

BALANCE

DEDUCTIONS

BAL. FWD.

NO.

7-89��DATE �� 520


�� DOLLARS


FOR ��

�052000896�0772752 2410 2




Check Register

Double-Line Method

The balance is recorded after each entry in the gray area of the balance column.

EXAMPLE CHECK = CK DEPOSIT = D ELECTRONIC FUNDS TRANSFER = EFT AUTOMATED TELLER MACHINE = ATM PHONE = PH

TYPE AMOUNT AMOUNT BAL. FWD.DATE

TRANS.OF DESCRIPTION OF OF FEE (�)

TAXNO.

TRANS. TRANS. (�) DEPOSIT (�)ITEM 600 00

3/19 101 PH Auto Insurance 100.00 �100 00500 00

3/19 102 CK S.H. Kirk 55.00 �55 80

Mary’s gift 444 20

3/22 103 ATM Cash 60.00 �60 00384 20

3/23 D Deposit 150.00 �150 00from paycheck 534 20

Directions This record form can be reproduced to keep a record of allcheck and non-check transactions.

CHECK = CK DEPOSIT = D ELECTRONIC FUNDS TRANSFER = EFT AUTOMATED TELLER MACHINE = ATM PHONE = PH

TYPE AMOUNT AMOUNT BAL. FWD.DATE

TRANS.OF DESCRIPTION OF OF FEE (�)

TAXNO.

TRANS. TRANS. (�) DEPOSIT (�)ITEM




Practice with Decimals

Directions Write the place value name for each underlined digit.

1. 84.034�

______________________________ 3. 6.30�

0499 ____________________________

2. 0.5091�

1 _____________________________ 4. 293.1�

93 _____________________________

Directions Write these numerals in words.

5. 34.072 _________________________________________________________________________

6. 0.10853 ________________________________________________________________________

_______________________________________________________________________________

Directions Round these decimals to the nearest:

Tenth Hundredth Thousandth7. 4.0481 _____________ 8. 46.1482 ___________________ 9. 0.90 __________________

Directions Perform the indicated operations.

10. 11. 12.

13. 18.04 � 0.0942 � 5 � 1.1 � ____________ 14. 57.3 � 0.947 � ______________________

15. 26 ��48�.1� 16. .08 ��.0�42�4� 17. 0.0819 � 1.3 � ��

Directions Round each answer to the nearest:

Tenth Hundredth Thousandth18. 7 � 8 � ____________ 19. 1.1 � 8 � _________________ 20. 2 � 3 � ______________

2.38� 2.4��

29.8� 7.831��

73.4075.90.4921

� 102.93��




Stock Market Math

Shares of Big Building Company are being sold for $24.79. The priceincreases $3.00 per share. What is the new price?

Estimate$24.79 � $25$25 � $3 � 28About $28

Add the numbers.

The new price of Big Building Company stock is $27.79 per share.

Directions Find the new price per share for each stock.

Stock Price Up New Price

1. Diamond Supply Works $80.00 $0.09 ��

2. Lotsopages Book Co. $15.35 $3.09 ��

3. Orange Company $47.05 $1.04 ��

4. TechnoFast $25.99 $4.30 ��

Down

5. Triangle Videos $33.03 $9.75 ��

6. TeleTechno Corp. $74.47 $2.43 ��

7. Smart Computer Inc. $65.45 $5.59 ��

8. Tri-County Tires $19.24 $7.73 ��

$24.79� 3.00��$27.79

EXAMPLE




The Break-Even Point

The break-even point is the total amount paid per share of stock, including purchase price, commissions, and fees.

Total Purchase Number of Buying SellingPrice Shares Commission Commission Fees

$3,564 200 $106.92 $115.60 $3.55

Step 1 Step 2 3,790.07 � 200 � 18.96

The break-even point is $18.96 per share (rounded to the next cent).

$3,564.00106.92115.60

� 3.55��$3,790.07

EXAMPLE

Total Purchase Number of Buying Selling Break-EvenPrice Shares Commission Commission Fees Point

1. $6,620.00 200 $105.92 $105.16 $1.37 ________________

2. $7,605.00 500 $121.68 $122.18 $2.21 ________________

3. $3,270.00 300 $52.32 $55.19 $4.11 ________________

4. $5,101.00 500 $81.62 $80.96 $1.07 ________________

5. $3,729.00 100 $55.67 $51.08 $2.09 ________________

6. $3,031.00 600 $48.50 $62.10 $1.93 ________________

7. $9,137.00 300 $144.21 $149.27 $6.23 ________________

8. $6,671.00 100 $106.74 $106.01 $2.02 ________________

9. $3,037.00 500 $48.60 $40.80 $3.22 ________________

10. $6,151.00 600 $98.42 $91.19 $3.61 ________________

11. $2,501.00 300 $40.02 $51.71 $1.18 ________________

12. $20,306.00 200 $324.90 $375.62 $2.25 ________________

13. $6,918.00 100 $15.00 $15.00 None ________________

14. $7,751.00 300 $124.02 $121.10 $2.52 ________________

Directions Compute the break-even point for these stocks. Round up to the next cent.




Earning Dividends

Clarice owns 400 shares of a stock that declares a 2 �12

� ¢ quarterly dividend. What is her annual dividend?

Step 1 Write dividend using dollars. Step 2 Find quarterly dividend. Step 3 Find total

$10.00� 4 quarters��$40.00

400 shares� $ .025��

$10.00

.5�12

� ¢ � 2 ��1�.0�2.5 ¢ � $0.025

EXAMPLE

Directions Find the total annual dividend.

QuarterlyDividend Number Quarterly Annualper Share of Shares Dividend Dividend

5.3 ¢ 100

6.4 ¢ 300

25.9 ¢ 900

13.7 ¢ 1,200

9.6 ¢ 500

4 �12

� ¢ 400

3 �34

� ¢ 250

10 �14

� ¢ 1,000

8 �18

� ¢ 650

15 �38

� ¢ 225

$0.046 100

$1.235 600

$6.785 800

$14.326 750

$1.909 1,200

$0.897 400

$0.073 200

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Using Credit Cards

Shawna decided to stop charging purchases and pay off her credit card,so she is determined to pay more than the minimum payment eachmonth. Her unpaid balance is $1,255.65. Interest is charged at 18% peryear, 1.5% per month. If she pays $300.00 this month, how much is thebalance and how much is the interest?

Step 1 Subtract the payment Step 2 Determine the Step 3 Add the interest to from the balance. interest paid. the unpaid balance.

$ 955.65� 14.33��$ 969.98

$955.65� 1.5%��$ 14.33

$1,255.65� 300.00��$ 955.65

EXAMPLE

Directions Find the interest paid and the balance repaid on each of these credit cards.

Balance Payment Unpaid Balance Interest New Balance

$3,476.54 $300.00

$1,279.80 $250.00

$946.72 $400.00

$532.14 $200.00

$2,645.10 $150.00

$725.36 $300.00

$426.17 $200.00

$300.00 $150.00

$400.00 $200.00

$695.88 $300.00

$1,429.76 $400.00

$2,678.53 $500.00

$4,075.10 $450.00

$2,392.14 $392.14

$1,854.67 $254.67

$3,462.15 $262.15

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The Key to Large Numbers

Jackson buys a 12.5 gigabyte hard drive for his computer. How many bytes of storage is this?

12.5 gigabytes � 12.5 billion bytes �12,500,000,000 bytes

EXAMPLE

Directions Solve the following problems.

1. Arlene’s new digital camera has 2.3 megapixel capability. Write this amount in digits.

2. Write the power of John’s new 1 kilowatt light bulb in digits.

3. The local radio station broadcasts at 50 megawatts of power. Write this number in digits.

4. Kim Lee’s computer speed is reported to be 785 megahertz. How fast is that in digits?

5. The city power company stores 13 gigawatts of power for emergency use. Write this number in digits.

Directions Write these amounts in words. Round numerals to two digits.

1. 6,400,000 watts

2. 1,500,000,000 watts

3. 965,000,000,000,000 watts

4. 1,073,741,824 bytes

5. 8,589,934,592 bytes

6. 3,276,800 pixels

Metric Prefixes

kilo 1,000 one thousandmega 1,000,000 one milliongiga 1,000,000,000 one billiontera 1,000,000,000,000 one trillion




Review of Basic Operations with Percents

1. 0.85 � �� %

2. 22.5 is 15% of ��

3. �45

� � �� %

4. What % of 32 is 8? ��

5. 76.2% � �� (decimal)

6. �78

� � �� %

7. 13% of 800 � ��

8. 378 is 42% of ��

9. What percent of 80 is 48? ��

10. 10.7% � �� (decimal)

11. 12 is 30% of ��

12. �� % of 300 is 30?

13. 1.69 � �� %

14. 0.062 � �� %

15. �25

� � �� %

16. 6.2% � �� (decimal)

17. 3% � �� (decimal)

18. 56 is �� % of 112

19. 8.7% � �� (decimal)

20. 13 is �� % of 65

21. 45% of 90 � ��

22. 36 is 10% of ��

23. 0.09 � �� %

24. 77.4 is 90% of ��


26. �� is 30% of 69

27. �18

� � �� %

28. �� is 10.7% of 32.8

29. 79% of 76 � ��

30. �17

55� � �� %

31. 16% of 80 � ��

32. �� % � �35

�

33. 0.007 � �� %

34. �� % � 0.769

35. 0.12 �12

� � �� %



38. 16 is what percent of 64? ��

39. �12

� � �� %

40. 85 is 15% of ��




Paying Taxes

Kim and Marty have a total income of $80,560. Their deductions total$12,673.66. They have earned $459.02 in tax credits. Their income taxbefore tax credits is $16,508. What is their taxable income and howmuch income tax do they owe?

Step 1 Subtract deductions from total income Step 2 Subtract tax credits from tax on to find taxable income. taxable income to find tax owed.

$16,508.00 tax before credit� 459.02 tax credit��$16,048.98 tax owed

$80,560.00 total income� 12,673.66 deductions��$67,886.34 taxable income

EXAMPLE

Directions Find taxable income and tax owed in each case.

Taxable Tax onTotal Income Deductions Income Taxable Income Tax Credits Tax Owed

$22,577.50 $2,052.50 $3,079.00 $104.00

$22,848.00 $2,448.00 $3,064.00 $39.99

$23,026.25 $1,901.25 $3,169.00 $201.00

$22,040.00 $2,040.00 $3,004.00 $32.00

$24,404.49 $4,235.49 $3,114.00 $47.80

$23,987.88 $2,945.88 $3,154.00 $114.00

$25,264.80 $4,210.80 $3,161.00 $207.00

$24,519.12 $3,011.12 $3,229.00 $1,859.50

$24,236.80 $2,596.80 $3,244.00 $10.00

$24,108.00 $2,583.00 $3,492.00 $37.00

$24,445.12 $2,619.12 $3,274.00 $211.00

$23,851.52 $2,555.52 $3,422.00 $79.00

$24,012.80 $2,572.80 $3,214.00 $43.00

$24,330.88 $2,606.88 $3,259.00 $47.89

$23,076.48 $2,472.48 $3,094.00 $65.80

$23,690.24 $2,538.24 $3,176.00 $28.56

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Reading Tax Tables

Jerry and Lisa Reese are married and filing jointly. Their adjusted gross income is $26,300. Use the chart to find their tax.

Solution: The tax will be $3,949

EXAMPLE

Directions Use the tax chart above to determine the tax due in each case.Write your answer on the line.

AdjustedFiling Status Gross Income Tax Due

1. Single $25,810.00 ____________________

2. Married filing jointly $25,259.00 ____________________

3. Married filing separately $25,900.00 ____________________

4. Married filing separately $26,610.00 ____________________

5. Head of household $26,955.00 ____________________

6. Single $25,060.00 ____________________

7. Single $26,715.00 ____________________

8. Married filing jointly $25,304.00 ____________________

9. Head of household $26,379.00 ____________________

10. Single $26,999.00 ____________________

Tax Table Based on Taxable Income

If 1040A, line19, OR 1040EZ, line 7is—

And you are— And you are—

If 1040A, line19, OR 1040EZ, line 7is—

Atleast

Butlessthan

Single(and1040EZfilers

Marriedfilingjointly

Marriedfilingsepa-rately

Head of ahouse-hold

Your tax is—

Atleast

Butlessthan

Single(and1040EZfilers

Marriedfilingjointly


Head of ahouse-hold

Your tax is—

25,000 26,00025,000 25,050 3,972 3,754 4,472 3,75425,050 25,100 3,986 3,761 4,486 3,76125,100 25,150 4,000 3,769 4,500 3,76925,150 25,200 4,014 3,776 4,514 3,776

25,200 25,250 4,028 3,784 4,528 3,78425,250 25,300 4,042 3,791 4,542 3,79125,300 25,350 4,056 3,799 4,556 3,79925,350 25,400 4,070 3,806 4,570 3,806

25,400 25,450 4,084 3,814 4,584 3,81425,450 25,500 4,098 3,821 4,598 3,82125,500 25,550 4,112 3,829 4,612 3,82925,550 25,600 4,126 3,836 4,626 3,836

25,600 25,650 4,140 3,844 4,640 3,84425,650 25,700 4,154 3,851 4,654 3,85125,700 25,750 4,168 3,859 4,668 3,85925,750 25,800 4,182 3,866 4,682 3,866

25,800 25,850 4,196 3,874 4,696 3,87425,850 25,900 4,210 3,881 4,710 3,88125,900 25,950 4,224 3,889 4,724 3,88925,950 26,000 4,238 3,896 4,738 3,896

26,000 26,050 4,252 3,904 4,752 3,90426,050 26,100 4,266 3,911 4,766 3,91126,100 26,150 4,280 3,919 4,780 3,91926,150 26,200 4,294 3,926 4,794 3,926

26,200 26,250 4,308 3,934 4,808 3,93426,250 26,300 4,322 3,941 4,822 3,94126,300 26,350 4,336 3,949 4,836 3,94926,350 26,400 4,350 3,956 4,850 3,956

26,400 26,450 4,364 3,964 4,864 3,96426,450 26,500 4,378 3,971 4,878 3,97126,500 26,550 4,392 3,979 4,892 3,97926,550 26,600 4,406 3,986 4,906 3,986

26,600 26,650 4,420 3,994 4,920 3,99426,650 26,700 4,434 4,001 4,934 4,00126,700 26,750 4,448 4,009 4,948 4,00926,750 26,800 4,462 4,016 4,962 4,016

26,800 26,850 4,476 4,024 4,976 4,02426,850 26,900 4,490 4,031 4,990 4,03126,900 26,950 4,504 4,039 5,004 4,03926,950 27,000 4,518 4,046 5,018 4,046




Computing Taxes Owed

Maria is filing a single return. Her adjusted gross income is $75,360. Maria uses Schedule X to help her figure the tax she owes.

Solution:

Round $18,629.60 to the nearest dollar.Maria owes $18,630.00 in taxes.

$12,798.50 Tax� 5,831.10 31% of $18,810.00��$18,629.60

$18,810.00� .31��$ 5,831.10

$75,360.00 Adjusted gross income� 56,550.00 ��$18,810.00 Amount over $56,550.00

EXAMPLE

Directions Use Schedule X to compute the income tax on these adjusted gross incomes. Round each answer to the nearest dollar.

Adjusted Gross Income Taxes Owed

1. $25,000 ___________________________

2. $100,000 ___________________________

3. $200,000 ___________________________

4. $300,000 ___________________________

5. $143,769 ___________________________

6. $75,580 ___________________________

7. $67,358 ___________________________

8. $43,279 ___________________________

9. $155,761 ___________________________

10. $275,090 ___________________________

11. $535,176 ___________________________

12. $153,689 ___________________________

If the amount onForm 1040, line39 is—

Enter onForm 1040,line 40

Over-But not over-

of theamountover-

$0 $23,350 - - - - - - - - - - 15% $0

23,350 56,550 $3,502.50 + 28% 23,350

56,550 117,950 12,798.50 + 31% 56,550

117,950 256,500 31,832.50 + 36% 117,950

256,500 - - - - - - - 81,710.50 + 39.6% 256,500

Schedule X—Use this if your filing status is Single




Refund or Balance Due

Cecily and Ralph Wood are filing a joint return. Their taxable income online 39 of Form 1040 is $50,975.00. They have already paid $10,432.56 inwithholding tax. Compute the amount to be refunded or the balance due.

Step 1 Find the tax bracket for total income.

$50,975.00 is between $50,950.00 and $51,000.00.

Step 2 Find the column for filing status.

Cecily and Ralph are married, filing jointly.

Step 3 Find the tax owed.

The amount shown where the tax bracketand filing status column meet is $8,368.

Step 4 Subtract to find difference.

$10,432.56 Amount withheld� 8,368.00 Amount of tax owed��$ 2,064.56 Amount of refund

EXAMPLE

Directions Compute the amount to be refunded or balance due in each case.

And you are—

If line 39(taxableincome) is—

Atleast

Butlessthan

Single Marriedfilingjointly


Head of ahouse-hold

Your tax is—

50,00050,000 50,050 10,376 8,107 10,932 9,22650,050 50,100 10,389 8,121 10,946 9,23950,100 50,150 10,403 8,134 10,959 9,25350,150 50,200 10,417 8,148 10,973 9,26750,200 50,250 10,431 8,162 10,987 9,28150,250 50,300 10,444 8,176 11,001 9,29450,300 50,350 10,458 8,189 11,014 9,30850,350 50,400 10,472 8,203 11,028 9,32250,400 50,450 10,486 8,217 11,042 9,33650,450 50,500 10,499 8,231 11,056 9,34950,500 50,550 10,513 8,244 11,069 9,36350,550 50,600 10,527 8,258 11,083 9,37750,600 50,650 10,541 8,272 11,097 9,39150,650 50,700 10,554 8,286 11,111 9,40450,700 50,750 10,568 8,299 11,124 9,41850,750 50,800 10,582 8,313 11,138 9,43250,800 50,850 10,596 8,327 11,152 9,44650,850 50,900 10,609 8,341 11,166 9,45950,900 50,950 10,623 8,354 11,179 9,47350,950 51,000 10,637 8,368 11,193 9,487

Taxable Filing Amount of Amount of Balance Due Amount Due Income Status Tax Owed Tax Withheld or Refund? or Refunded$50,528 Single $16,325.78

$50,183 Married, filing $10,365.44jointly

$50,472 Married, filing $11,010.14separately

$50,233 Single $9,882.15

$50,391 Head of a $12,456.90household

$50,657 Single $11,472.96

$50,814 Married, filing $10,459.23jointly

1.

2.

3.

4.

5.

6.

7.




Paying Property Taxes

The tax assessment on Mason’s home is $135,670.00. The local tax rate is$3.66 per $100.00 of the assessment. What is Mason’s annual property tax?

Assessment Rate per $100$135,670.00 $3.66

Step 1 $135,670 � $100 � $1,356.70 Step 2 $1,356.70 � $3.66 � $4,965.53

Hint – move decimal place two places to the left.

Answer: Mason’s annual property tax is $4,965.53. (Round to the next cent.)

EXAMPLE

1. $21,500 $8.09 ______________

2. $60,900 $7.03 ______________

3. $45,900 $1.30 ______________

4. $64,000 $3.31 ______________

5. $60,000 $1.52 ______________

6. $47,600 $6.59 ______________

7. $65,900 $8.17 ______________

8. $110,400 $5.90 ______________

9. $80,700 $3.26 ______________

10. $457,637 $5.07 ______________

11. $106,950 $6.37 ______________

12. $55,000 $4.64 ______________

13. $118,600 $7.07 ______________

14. $180,440 $7.19 ______________

15. $93,400 $3.92 ______________

16. $64,760 $4.67 ______________

17. $102,400 $6.13 ______________

18. $82,600 $4.77 ______________

19. $71,600 $2.58 ______________

20. $1,211,037 $3.64 ______________

21. $38,350 $6.56 ______________

22. $47,000 $8.22 ______________

23. $72,800 $1.95 ______________

24. $103,100 $8.30 ______________

25. $86,100 $2.93 ______________

26. $60,350 $6.24 ______________

27. $110,000 $3.77 ______________

28. $300,100 $4.71 ______________

29. $75,600 $6.15 ______________

30. $999,937 $7.56 ______________

31. $144,760 $6.64 ______________

32. $58,800 $8.94 ______________

33. $97,000 $5.96 ______________

34. $70,800 $1.60 ______________

Directions Compute the property tax. Round to the next cent if necessary.

Rate per Assessment $100 Tax

Rate per Assessment $100 Tax




Review of Basic Skill Operations

1. 143 � 6,137 � ________

2. 32% of 16 � ___________

3. �12

� � �11

26� � _____________

4. 0.009 � 0.002 � _______

5. 578 � 9 � ____________

6. 8 � 9.6 � 0.07 �

_______________

7. �36

43� � �

19

� � _____________

8. 820,000 � 200 � ______

9. 7 is what % of 70? _______

10. 3 � 2.547 � __________

11. �178� � �

34

� � _____________

12. 0.0006 � 0.12 � _______

13. 279 � 12,721 � _______

14. 19 � 11 �177� � _________

15. 78 �34

� � 24 � __________

16. 36 � 0.36 � __________

17. 3 �12

94� � 1 �

58

� � __________

18. 33 �12

72� � �

292� � _________

19. 12.331 � 2.09 � _______

20. 1.38 � 1.3 � __________

21. 1,060 �12

� � 20 � ________

22. �14

� � �56

� � _____________

23. 25% of 64 � ___________

24. 108 � 4.8 � __________

25. 1,237 � 1,002 � _______

26. 3 �13

� � 1 �79

� � __________

27. 20 � �13

� � ____________

28. 3.001 � 2.03 � ________

29. 76 � 294 � 958 �

_______________

30. 1,008 � 60 � _________

31. 2.92 � 7.6 � 10.6 �

_______________

32. �79

� � �118� � ____________

33. 936.93 � 2.6 � ________

34. 0.208 � 0.117 � _______

35. 9 is what percent of 18?

_______________

36. 39.5 � 4.05 � _________

37. 0.135 � 0.06 � 2.5 �

_______________

38. 208 � 19,823 � _______

39. 55.1 � 0.11 � _________

40. 3 �131� � 1 �

15291

� � ________

41. 787,800 � 10,100 �

_______________

42. 16 is 50% of ____________

43. 12 �56

� � 1 �56

� � _________

44. 21 �141� � 19 �

282� � _______

45. 405.24 � 0.44 � _______

46. 0.004 � 0.0036 � ______

47. 3 is 30% of _____________

48. 3.001 � 0.05 � ________




Sales Tax Chart

5% State Sales TaxAmount of Sale Tax Amount of Sale Tax Amount of Sale Tax Amount of Sale Tax Amount of Sale Tax Amount of Sale Tax

.20 .01.21 – .40 .02 10.01 – 10.20 .51 20.01 – 20.20 1.01 30.01 – 30.20 1.51 40.01 – 40.20 2.01 50.01 – 50.20 2.51.41 – .60 .03 10.21 – 10.40 .52 20.21 – 20.40 1.02 30.21 – 30.40 1.52 40.21 – 40.40 2.02 50.21 – 50.40 2.52.61 – .80 .04 10.41 – 10.60 .53 20.41 – 20.60 1.03 30.41 – 30.60 1.53 40.41 – 40.60 2.03 50.41 – 50.60 2.53.81 – 1.00 .05 10.61 – 10.80 .54 20.61 – 20.80 1.04 30.61 – 30.80 1.54 40.61 – 40.80 2.04 50.61 – 50.80 2.54

Meals – 1.00 .05 10.81 – 11.00 .55 20.81 – 21.00 1.05 30.81 – 31.00 1.55 40.81 – 41.00 2.05 50.81 – 51.00 2.551.01 – 1.20 .06 11.01 – 11.20 .56 21.01 – 21.20 1.06 31.01 – 31.20 1.56 41.01 – 41.20 2.06 51.01 – 51.20 2.561.21 – 1.40 .07 11.21 – 11.40 .57 21.21 – 21.40 1.07 31.21 – 31.40 1.57 41.21 – 41.40 2.07 51.21 – 51.40 2.571.41 – 1.60 .08 11.41 – 11.60 .58 21.41 – 21.60 1.08 31.41 – 31.60 1.58 41.41 – 41.60 2.08 51.41 – 51.60 2.581.61 – 1.80 .09 11.61 – 11.80 .59 21.61 – 21.80 1.09 31.61 – 31.80 1.59 41.61 – 41.80 2.09 51.61 – 51.80 2.591.81 – 2.00 .10 11.81 – 12.00 .60 20.81 – 22.00 1.10 31.81 – 32.00 1.60 41.81 – 42.00 2.10 51.81 – 52.00 2.602.01 – 2.20 .11 12.01 – 12.20 .61 22.01 – 22.20 1.11 32.01 – 32.20 1.61 42.01 – 42.20 2.11 52.01 – 52.20 2.612.21 – 2.40 .12 12.21 – 12.40 .62 22.21 – 22.40 1.12 32.21 – 32.40 1.62 42.21 – 42.40 2.12 52.21 – 52.40 2.622.41 – 2.60 .13 12.41 – 12.60 .63 22.41 – 22.60 1.13 32.41 – 32.60 1.63 42.41 – 42.60 2.13 52.41 – 52.60 2.632.61 – 2.80 .14 12.61 – 12.80 .64 22.61 – 22.80 1.14 32.61 – 32.80 1.64 42.61 – 42.80 2.14 52.61 – 52.80 2.642.81 – 2.00 .15 12.81 – 13.00 .65 22.81 – 23.00 1.15 32.81 – 33.00 1.65 42.81 – 43.00 2.15 52.81 – 53.00 2.653.01 – 3.20 .16 13.01 – 13.20 .66 23.01 – 23.20 1.16 33.01 – 33.20 1.66 43.01 – 43.20 2.16 53.01 – 53.20 2.663.21 – 3.40 .17 13.21 – 13.40 .67 23.21 – 23.40 1.17 33.21 – 33.40 1.67 43.21 – 43.40 2.17 53.21 – 53.40 2.673.41 – 3.60 .18 13.41 – 13.60 .68 23.41 – 23.60 1.18 33.41 – 33.60 1.68 43.41 – 43.60 2.18 53.41 – 53.60 2.683.61 – 3.80 .19 13.61 – 13.80 .69 23.61 – 23.80 1.19 33.61 – 33.80 1.69 43.61 – 43.80 2.19 53.61 – 53.80 2.693.81 – 4.00 .20 13.81 – 14.00 .70 23.81 – 24.00 1.20 33.81 – 34.00 1.70 43.81 – 44.00 2.20 53.81 – 54.00 2.704.01 – 4.20 .21 14.01 – 14.20 .71 24.01 – 24.20 1.21 34.01 – 34.20 1.71 44.01 – 44.20 2.21 54.01 – 54.20 2.714.21 – 4.40 .22 14.21 – 14.40 .72 24.21 – 24.40 1.22 34.21 – 34.40 1.72 44.21 – 44.40 2.22 54.21 – 54.40 2.724.41 – 4.60 .23 14.41 – 14.60 .73 24.41 – 24.60 1.23 34.41 – 34.60 1.73 44.41 – 44.60 2.23 54.41 – 54.60 2.734.61 – 4.80 .24 14.61 – 14.80 .74 24.61 – 24.80 1.24 34.61 – 34.80 1.74 44.61 – 44.80 2.24 54.61 – 54.80 2.744.81 – 5.00 .25 14.81 – 15.00 .75 24.81 – 25.00 1.25 34.81 – 35.00 1.75 44.81 – 45.00 2.25 54.81 – 55.00 2.755.01 – 5.20 .26 15.01 – 15.20 .76 25.01 – 25.20 1.26 35.01 – 35.20 1.76 45.01 – 45.20 2.26 55.01 – 55.20 2.765.21 – 5.40 .27 15.21 – 15.40 .77 25.21 – 25.40 1.27 35.21 – 35.40 1.77 45.21 – 45.40 2.27 55.21 – 55.40 2.775.41 – 5.60 .28 15.41 – 15.60 .78 25.41 – 25.60 1.28 35.41 – 35.60 1.78 45.41 – 45.60 2.28 55.41 – 55.60 2.785.61 – 5.80 .29 15.61 – 15.80 .79 25.61 – 25.80 1.29 35.61 – 35.80 1.79 45.61 – 45.80 2.29 55.61 – 55.80 2.795.81 – 6.00 .30 15.81 – 16.00 .80 25.81 – 26.00 1.30 35.81 – 36.00 1.80 45.81 – 46.00 2.30 55.81 – 56.00 2.806.01 – 6.20 .31 16.01 – 16.20 .81 26.01 – 26.20 1.31 36.01 – 36.20 1.81 46.01 – 46.20 2.31 56.01 – 56.20 2.816.21 – 6.40 .32 16.21 – 16.40 .82 26.21 – 26.40 1.32 36.21 – 36.40 1.82 46.21 – 46.40 2.32 56.21 – 56.40 2.826.41 – 6.60 .33 16.41 – 16.60 .83 26.41 – 26.60 1.33 36.41 – 36.60 1.83 46.41 – 46.60 2.33 56.41 – 56.60 2.836.61 – 6.80 .34 16.61 – 16.80 .84 26.61 – 26.80 1.34 36.61 – 36.80 1.84 46.61 – 46.80 2.34 56.61 – 56.80 2.846.81 – 7.00 .35 16.81 – 17.00 .85 26.81 – 27.00 1.35 36.81 – 37.00 1.85 46.81 – 47.00 2.35 56.81 – 57.00 2.857.01 – 7.20 .36 17.01 – 17.20 .86 27.01 – 27.20 1.36 37.01 – 37.20 1.86 47.01 – 47.20 2.36 57.01 – 57.20 2.867.21 – 7.40 .37 17.21 – 17.40 .87 27.21 – 27.40 1.37 37.21 – 37.40 1.87 47.21 – 47.40 2.37 57.21 – 57.40 2.877.41 – 7.60 .38 17.41 – 17.60 .88 27.41 – 27.60 1.38 37.41 – 37.60 1.88 47.41 – 47.60 2.38 57.41 – 57.60 2.887.61 – 7.80 .39 17.61 – 17.80 .89 27.61 – 27.80 1.39 37.61 – 37.80 1.89 47.61 – 47.80 2.39 57.61 – 57.80 2.897.81 – 8.00 .40 17.81 – 18.00 .90 27.81 – 28.00 1.40 37.81 – 38.00 1.90 47.81 – 48.00 2.40 57.81 – 58.00 2.908.01 – 8.20 .41 18.01 – 18.20 .91 28.01 – 28.20 1.41 38.01 – 38.20 1.91 48.01 – 48.20 2.41 58.01 – 58.20 2.918.21 – 8.40 .42 18.21 – 18.40 .92 28.21 – 28.40 1.42 38.21 – 38.40 1.92 48.21 – 48.40 2.42 58.21 – 58.40 2.928.41 – 8.60 .43 18.41 – 18.60 .93 28.41 – 28.60 1.43 38.41 – 38.60 1.93 48.41 – 48.60 2.43 58.41 – 58.60 2.938.61 – 8.80 .44 18.61 – 18.80 .94 28.61 – 28.80 1.44 38.61 – 38.80 1.94 48.61 – 48.80 2.44 58.61 – 58.80 2.948.81 – 9.00 .45 18.81 – 19.00 .95 28.81 – 29.00 1.45 38.81 – 39.00 1.95 48.81 – 49.00 2.45 58.81 – 59.00 2.959.01 – 9.20 .46 19.01 – 19.20 .96 29.01 – 29.20 1.46 39.01 – 39.20 1.96 49.01 – 49.20 2.46 59.01 – 59.20 2.969.21 – 9.40 .47 19.21 – 19.40 .97 29.21 – 29.40 1.47 39.21 – 39.40 1.97 49.21 – 49.40 2.47 59.21 – 59.40 2.979.41 – 9.60 .48 19.41 – 19.60 .98 29.41 – 29.60 1.48 39.41 – 39.60 1.98 49.41 – 49.60 2.48 59.41 – 59.60 2.989.61 – 9.80 .49 19.61 – 19.80 .99 29.61 – 29.80 1.49 39.61 – 39.80 1.99 49.61 – 49.80 2.49 59.61 – 59.80 2.999.81 – 10.00 .50 19.81 – 20.00 1.00 29.81 – 30.00 1.50 39.81 – 40.00 2.00 49.81 – 50.00 2.50 59.81 – 60.00 3.00

Tax begins at 20¢ on nonfood items. Tax begins at $1.00 on meals consumed on premises.When the total charge for meals on premises reaches $1.00 or more, combine the charge with all other taxable items to find the total taxable sale.




The Key to Square Root

Marleña uses squares to find square roots. To find the square root of 16,she arranges 16 squares until she makes a larger square. Here are all thearrangements she can make with the 16 squares:

16 � 16 � 1 16 � 8 � 2 16 � 4 � 4

The arrangement that makes a square is 16 � 4 � 4. The �16� � 4.

EXAMPLE

Directions Draw the squares that show the square roots of the numbers.

1. �25�

2. �9�

3. �36�

4. �4�

5. �49�

Directions Find the square roots of the numbers by building a mental square.Write down the number of smaller squares on a side of your mental square.Hint: Look for equal factors of each number.

1. �100�

2. �81�

3. �121�

4. �625�

5. �400�

6. �64�

7. �225�

8. �1600�

9. �10,000�




Using Electrical Formulas

EXAMPLE Elizabeth Rivera and her apprentice, Tory Barker, calculate the amount of resistance (R, ohms) in a 15 amp (I), 120 volt (E) circuit. They select the formula for R where I and E are known.

R � �EI� � �

11250

� The resistance is 8 ohms.815 ��1�2�0�

� 120��

WIRE

WATTS (Power) AMPS (Intensity) OHMS (Resistance) VOLTS (Electromotive Force)

W � EI I � �RE

� R � �EI� E � IR

W � I2R I � ��WR

�� R � �WI2� E � �

WI�

W � �ER

2

� I � �WE� R � �

WE2

� E � �WR�

Directions Complete the chart below. Use the formulas to calculate themissing information.

W I R E(in watts) (in amps) (in ohms) (in volts)

1. 10 amps 40 V

2. 800 W 8 ohms

3. 13 amps 300 ohms

4. 40,500 W 900 V

5. 7 ohms 35 V




Ordering Fractions

Niamh has a set of measuring cups. Put them in order of size, smallest to largest.

�13

� cup �14

� cup �12

� cup �34

� cup �23

� cup 1 cup

Step 1 Find the common denominator. Step 2 Rewrite fractions with 12 as denominator.

12

Answer: �132� � �

14

�

�142� � �

13

�

�162� � �

12

�

�182� � �

23

�

�192� � �

34

�

�11

22� � 1

�13

� � �142�

�14

� � �132�

�12

� � �162�

�34

� � �192�

�23

� � �182�

1 � �11

22�

EXAMPLE

Directions Arrange the following fractions in ascending order.

�18

�, �23

�, �16

�, �14

�

�18

�, �38

�, �136�, �

11

56�, �

34

�

�190�, �

78

�, �45

�, �230�, �

34

�

�58

�, �12

�, �34

�, �11

16�

�23

�, �35

�, �175�, �

29

�

�172�, �

29

�, �34

�, �23

�, �158�

�136�, �

34

�, �38

�, �11

12�, �

23

�

�270�, �

390�, �

16

�, �11

35�, �

13

�

�78

�, �11

56�, �

33

12�, �

12

�, �34

�

�190�, �

23

�, �56

�, �45

�, �11

35�

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.




Precise Measurement

John Sullivan is a carpenter. He reads the measurement at point A as �

156��.

He reads point B as 3 �

1126�� and renames

it to 3 �34

��.

EXAMPLE To the nearest sixteenth inch: 3 �11

26�� 3 �

34

��

0 1 2 3 4

A B

Directions Read points A, B, C, and D on the rulers below.

1. To the nearest inch:

2. To the nearest half inch:

3. To the nearest quarter inch:

4. To the nearest eighth inch:

5. To the nearest sixteenth inch:

AA

BB

CC

DD

0 1 2 3 4

0 1 2 3 4

AA

BB

CC

DD

0 1 2 3 4

AA

BB

CC

DD

0 1 2 3 4

AA

BB

CC

DD

0 1 2 3 4

AA

BB

CC

DD




Renaming Mixed Numbers

Rename 3 �28

� as an improper fraction.

3 �28

� � 3 �28

� � �286�

3 � 8 � 2 � 26 26 is the new numerator.

Keep 8 as the denominator.

EXAMPLE

Directions Rename these mixed numbers as improper fractions.

1. 5 �14

� � _________

2. 2 �18

� � _________

3. 3 �23

� � _________

4. 4 �78

� � _________

5. 6 �34

� � _________

6. 3 �56

� � _________

7. 4 �27

� � _________

8. 6 �56

� � _________

9. 9 �23

� � _________

10. 4 �14

� � _________

11. 9 �56

� � _________

12. 2 �35

� � _________

13. 4 �35

� � _________

14. 6 �27

� � _________

15. 8 �78

� � _________

16. 7 �34

� � _________

17. 6 �37

� � _________

18. 7 �17

� � _________

19. 9 �12

� � _________

20. 10 �45

� � _________

21. 8 �49

� � _________

22. 13 �13

� � _________

23. 12 �19

� � _________

24. 8 �38

� � _________

25. 7 �13

� � _________

26. 6 �190� � ________

27. 32 �13

� � _________

28. 16 �57

� � _________

29. 10 �12

� � _________

30. 16 �34

� � _________

31. 13 �12

� � _________

32. 48 �19

� � _________

33. 16 �131� � ________

34. 14 �172� � ________

35. 8 �165� � ________

36. 14 �56

� � _________

37. 12 �13

� � _________

38. 52 �14

� � _________

39. 13 �23

� � _________

40. 6 �59

� � _________

41. 8 �37

� � _________

42. 15 �25

� � _________

43. 11 �191� � ________

44. 9 �45

� � _________

45. 22 �131� � ________

46. 17 �37

� � _________

47. 14 �45

� � _________

48. 7 �180� � ________

49. 19 �58

� � _________

50. 18 �34

� � _________

51. 12 �56

� � _________

52. 16 �58

� � _________




Appropriate Technology

Arlene is working in the machine shop and needs both hands to do her work.She tries to do as much mental math as she can to keep her hands free fromusing a calculator. Help her determine which of the following problems is acalculator problem and which is a good mental math problem.

Problem 1 20% of 40� Problem 2 18% of 4.351�

This is a good mental math problem. This is a good calculator problem.First recall that 20% means 20 � 100.Multiply 20 times 40. That equals 800.Then divide 800 by 100. That equals 8.

20% of 40� is 8�

EXAMPLE

Directions Determine if these are better mental math problems or calculatorproblems. If it is a mental math problem, solve it. If it is better performed on acalculator, do not solve it. Round to the nearest cent.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Problem Mental Math or Calculator? Solution

$24.00 � 20 ft

$17.61 � 21 ft

10 � 13

3.83 � 5.12

10% of $26.00

2% of $6.98

25% of $28.20(Hint: use 25% � �

14

�)

$19.89 � 39%

$8.73 � 10%

$39.03 � 20%

chapter 1, lesson 1 computing wagespehs.psd202.org/documents/ncress/1503505470.pdf ·...

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