Chapter Review Problems

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1 Chapter Review Problems Unit 1.1 Reading, writing, and rounding numbers Change these numbers to words: Three hundred seventeen 2. 8,257,116 Eight million, two hundred fifty-seven thousand, one hundred sixteen Two and one-tenth Twelve and twelve ten-thousandths Change these words to numbers: 5. Four hundred twenty-six thousand 426, Four hundred twenty-six thousandths Four hundred and twenty-six thousandths Fourteen million, seven hundred twenty-six thousand, one hundred eleven and two tenths 14,726, trillion 4.8 trillion 4,8 4,800,000,000,000 Round each number to the nearest hundredth ,678,499 to the nearest thousand 123,678, ,678, , to the nearest whole number 23, , ,951 to the nearest hundred 45,951 46,000 Unit 1.2 Working with whole numbers Find the sum of each group of numbers. Remember, do not use a calculator , , , , , , , , , , ,442 36,644 Subtract. Remember, do not use a calculator , ,762-1, Check by 1,171 12, adding up Check by - 1,134 Check by =7, etc. 682 adding up. 11,628 adding up. Multiply. Do not use a calculator , , ,832 1,800 Pretend 18 2 zeros zero attach 3 zeros 5,535 82, ,000 Chapter Review Problems 19

2 Divide. Indicate any remainder , , ) ) R32 41) Unit 1.3 Strategy for solving word problems 26. You buy a car for $22,700 and the dealer gives you a $4,570 trade-in on your old car. What is the net amount you owe the dealer after the trade-in is deducted? $22,700 - $4,570 = $18, A movie theater has 40 seats in each row. If there are a total of 53 rows, what is the total number of seats? 53 pretend (1 zero ignored) 212 2,120 seats 28. Your golf scores on 9 holes were 4, 5, 3, 4, 7, 6, 4, 2, and 5. If par is 36 for the 9 holes, how many strokes over par did you shoot? Your score: = 40 Over par: = You are ordering soda pop for your company picnic. There are 96 people coming to the picnic and you think each person will drink about 3 cans of soda pop. How many cans of soda pop should you order? cans 30. Refer to Problem 29. How many 24-can cases do you need? 12 cases 24) You are thinking about buying a computer system. The computer costs $980, the monitor is $425, and the printer is $310. Estimate the total price by rounding each amount to the nearest hundred dollars. Rounded $ 980 $1, $1,700 Think: = 14; + 3 = 17 Unit 1.4 Working with decimal numbers Find the result , , , , , , , Chapter 1 Whole Numbers and Decimals

3 , , (3 zeros) 3 places right (2 zeros) 2 places left 46. During the last week, you wrote checks for $45.10, $32, $450, and $ What is the total amount of checks written during the week? $ $32 + $ = $ You have $ in your checking account before writing a check for $ What is your new balance? $ $ = $ You own three adjoining parcels of land containing 22 acres, acres, and.92 acres. What is the total acreage? 22 acres acres +.92 acres = acres 49. You go into an office supply store with a $50 bill. You buy some office supplies and come out of the store with $8.52 in change. How much did you spend? $50 - $8.52 = $ Luciano Montoya owns a tile business. Luciano charges $9.50 a square foot (sq ft) for a certain tile. How much should Luciano charge a customer for 322 square feet of tile? 322 sq ft $9.50 per sq ft = $3, You are thinking about buying a watermelon. If the melon weighs 18.5 pounds (lb) and sells for 39 cents a pound, how much will the melon cost (rounded to the nearest penny)? 18.5 lb $0.39 per lb = $7.215 = $7.22 (rounded) 52. Howard Sadler is a traveling salesman. His employer reimburses employees for car mileage at 34 cents per mile. If Howard drove 1,872.4 miles during June, how much will he receive from his employer? 1,872.4 miles $0.34 per mile = $ (to the nearest penny) 53. A company has square feet (sq ft) of leather from which it makes baseball gloves. If each glove requires 3.5 square feet of leather, how many full gloves can be made from the square feet of leather? sq ft 3.5 sq ft per glove = 84.5 gloves = 84 full gloves Challenge problems For Problems 54 56, we will figure your gas mileage. Your auto mileage at the beginning of a vacation is 23, You filled your gas tank prior to leaving town and bought gas as follows during the trip: 14.6 gallons, 17.4 gallons, 11.7 gallons, 15.6 gallons, 17.1 gallons, and 9.4 gallons upon your return home. Your mileage at the end of your vacation was 26, How many miles did you travel on the trip? 26,007.4 ending miles - 23,578.9 beginning miles = 2,428.5 miles 55. How many gallons (gal) of gas did you use? 14.6 gal gal gal gal gal gal = 85.8 gal 56. Calculate your average miles per gallon (mpg), to the nearest tenth, for the trip. miles per gallon means miles divided by gallons, so: 2,428.5 miles 85.8 gal = 28.3 mpg 57. Suppose you rent a moving truck for 2 days. You are charged $49 per day plus 24 cents per mile. If the mileage was 34,122.8 when you picked up the truck and 34,428.3 when you returned the truck, what is the total amount you will owe for the 2 days? Miles: 34, ,122.8 = Charge For miles: mi $0.24 $ Daily charge: 2 days $ $ Chapter Review Problems 21

4 58. Assuming the average heartbeat is 73 beats per minute, how many beats are there in (a) 1 hour, (b) 1 day, (c) 1 year (assume an average of days per year), and (d) a 70-year life? Heartbeats per minute a. Heartbeats per hour 4, b. Heartbeats per day 105, c. Heartbeats per year 38,395, d. Heartbeats per 70-year life 2,687,655, A warehouse rents for $3,450 per month. Calculate the annual rent (i.e., how much rent is paid each year). $3, months = $41, Refer to Problem 59. Assuming that the warehouse contains 9,720 square feet, calculate the annual rent per square foot. Round your answer to the nearest penny. Rent per square foot means rent divided by square feet, so $41,400 9,720 sq ft = $4.26 per sq ft 61. Jewell Koga weighed 151 pounds 3 months ago and now weighs 124 pounds. How many pounds did Jewell lose? 151 lb lb = 27 lb 62. Refer to Problem 61. On average, how many pounds per month did she lose? Pounds per month means pounds divided by months, so: 27 lb 3 months = 9 lb per month 63. You are thinking about buying a 16-unit apartment building. Ten of the units are rented for $700 per month, four are rented for $725, and two are rented for $750. What is the total annual (yearly) rent? 10 $700 $7,000 4 $725 2,900 2 $750 1,500 Total monthly rent $11, Total annual rent $136, Refer to Problem 63. You anticipate expenses of $41,000 per year (for property taxes, insurance, repairs, utilities, etc.) and your monthly mortgage payment is $7,730. What amount should you have left over at the end of the year after depositing rents and paying expenses and mortgage payments? Total annual rent $136,800 Less expenses - 41,000 Amount after expenses $ 95,800 Less mortgage payments: 12 $7,730-92,760 Amount after mortgage payments $ 3, The Yang family is planning a vacation. They will be gone 15 days. They estimate that lodging will cost an average of $85 per night (they will need lodging for only 14 nights, since they will get back home on the fifteenth day). Meals will average $24 per person per day (there are four people in the family). They will drive about 3,300 miles. Their vehicle gets about 15 miles per gallon, and they estimate gas will cost an average of $1.89 per gallon. They want to allow $60 per day for entertainment. What total amount should they budget for their trip? Lodging: 14 nights $85 = $1, Meals: Cost per day: 4 people $24 per day = $96 Cost for 15 days: $96 per day 15 days = 1, Gas: Gallons required: 3,300 miles 15 miles per gallon = 220 gallons Cost of gas: 220 gallons $1.89 per gallon Entertainment: 15 days $60 = Total budget $3, Chapter 1 Whole Numbers and Decimals

5 Practice Test 1. Change the number 87, to words. Eighty-seven thousand, twenty-two and thirty-five hundredths 2. Change three hundred and eighty-four thousandths to a number Change 26.1 billion to a regular number billion 26,1 26,100,000, Round to the nearest hundredth Round $28,958 to the nearest hundred dollars. $28,958 $29, Find the sum: 2, , Find the difference: Multiply: 2, , Divide: 2, You are buying some treats at the baseball game: a hot dog for $3.75, peanuts for $4.75, and a soda for $2.25. Estimate the total by rounding each amount to the nearest dollar. $4 + $5 + $2 = $ You buy a car for $22,400 and the dealer gives you a $4,200 trade-in on your old car. You must pay sales tax of $1, and a registration fee of $135. What amount will you owe the dealer? $22,400 - $4,200 + $1, $135 = $19, You own three adjoining parcels of land: 112 acres, acres, and.82 acres. What is the total acreage? 112 acres acres +.82 acres = acres 13. If carpet costs $21.25 per square yard, pad costs $4.65 per square yard, and installation costs $4 per square yard, what is the total cost of square yards? Carpet $21.25 Pad 4.65 Installation 4.00 Total cost per sq yd $ sq yd = $5, Your auto mileage was 12,852.6 at the beginning of a trip and 13,904.2 at the end of the trip. You used gallons of gas. Use the following word problem guide to determine how many miles per gallon (mpg), rounded to the nearest tenth, you got on the trip. word problem guide 1. Solving for Miles per gallon 2. Known facts Traveled 1,051.6 miles (13,904.2 miles - 12,852.6 miles = 1,051.6 miles) Used gallons of gas 3. Procedure Miles per gallon means miles divided by gallons, so 1,051.6 miles gallons = 19.5 mpg Practice Test 23

Warm-Up 10/2/17. Solve the following inequalities and graph the solutions. 1.

Warm-Up 10/2/17. Solve the following inequalities and graph the solutions. 1. Warm-Up 10/2/17 Solve the following inequalities and graph the solutions. 1. 2. Solve the following equations. 3. 4. Customary Measurement Conversions 10/2/17 Standard: MGSE5.MD.1: Convert like measurement