Math Problems

© Glencoe/McGraw-Hill 3 Mathematics: Applications and Concepts, Course 2

MAGAZINES For Exercises 1 and 2, use the table that shows the costs ofseveral popular magazines.

Practice: Word ProblemsA Plan for Problem Solving

NAME ________________________________________ DATE ______________ PERIOD _____

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1. How much could you save by buyingTeen World with a yearly subscriptionrather than 12 single copies?

2. Which of the magazines saves you themost money by purchasing a yearlysubscription instead of an equivalentnumber of single copies? How muchwill you save?

3. BICYCLING Adriana can ride her bicycle 6 miles in one hour. How long will ittake her to ride 15 miles?

4. BASKETBALL At Johnson Middle Schoolan average of 500 people attended eachof the 15 home basketball games. Ifadmission was $3 per person, abouthow much money was collected in all?

5. THEATER A local theater has floorseating, balcony seating, and boxseating. If the theater contains 2,500seats with 425 seats in the balcony and215 box seats, how many seats are onthe floor?

6. POPCORN Janelle plans to buy threeboxes of popcorn at the movies forherself and two friends. If each boxcosts $1.95, how much change will shereceive when she pays with a ten-dollarbill?

Costs of Popular Magazines

Magazine Cost of Yearly Subscription Cost of a Single Copy

Teen World $9.98 (12 issues) $3.25

Soccer World $19.97 (6 issues) $4.99

Book Nation $19.98 (12 issues) $2.99

TV Weekly $46.28 (52 issues) $1.95


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPowers and Exponents

1. SPACE SHUTTLE The cost of each flightof the Space Shuttle is about$10,000,000. Write this amount inexponential form.

2. ANIMALS The African bush elephant isthe largest land animal and weighsabout 8 tons. Write this amount inexponential form.

3. VOLUME To find the volume of arectangular box you multiply thelength times the width times theheight. In a cube all sides are the samelength. If the cube has length, width,and height of 6 inches, write thevolume as a product. Then write it inexponential form.

4. SCIENCE A certain type of cell doublesevery hour. If you start with one cell, atthe end of one hour you would have 2 cells, at the end of two hours youhave 4 cells, and so on. The expression2 � 2 � 2 � 2 � 2 tells you how manycells you would have after five hours.Write this expression in exponentialform; then evaluate it.

5. MATH Write 625 using exponents in asmany ways as you can.

6. PREFIXES Many prefixes are used inmathematics and science. The prefixgiga in gigameter represents1,000,000,000 meters. Write this prefixas a power of ten.

7. LIBRARY The school library contains 94 books. How many library books arein the school library?

8. HOT DOGS The concession stand at thecounty fair sold 63 hot dogs on the firstday. How many hot dogs did they sell?


Practice: Word ProblemsOrder of Operations

NAME ________________________________________ DATE ______________ PERIOD _____

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1. FOOTBALL The middle school teamscored three field goals worth threepoints each and two touchdowns worthsix points each, including extra points.Write a numerical expression to findthe team’s score. Then evaluate theexpression.

2. BOOKS Juan goes to the schoolbook fairwhere paperback books are $1.50 andhardback books are $3.00. Juan buys 5paperback and 2 hardback books. Writea numerical expression to find howmuch Juan paid for the books. Thenevaluate the expression.

3. GEOMETRY The perimeter of a hexagonis found by adding the lengths of all sixsides of the hexagon. For the hexagonbelow write a numerical expression tofind the perimeter. Then evaluate theexpression.

5

5

5

5

8

8

4. MONEY Aisha bought school suppliesconsisting of 6 spiral notebooks costing$0.39 each, 2 packages of pencils at$0.79 each, and a 3-ring binder for$1.99. Write an expression to find thetotal amount Aisha spent on schoolsupplies. Then evaluate the expression.

5. REASONING Use the order of operationsand the digits 2, 4, 6, and 8 to create anexpression with a value of 2.

6. NUMBER SENSE Without parentheses,the expression 8 � 30 � 2 � 4 equals27. Place parentheses in the expressionso that it equals 13; then 23.

7. MONEY Tyrone bought 5 postcards at$0.55 each and a set of postcards for$1.20. Write an expression to find thetotal amount Tyrone spent onpostcards. Then evaluate theexpression.

8. DINING Mr. Firewalks took his familyout to eat. They ordered 3 meals costing$8.99 each, 2 sodas at $1.50 each, and 1glass of tea for $1.25. Write anexpression to find the total amount theFirewalks family spent on dinnerbefore taxes and tip. Then evaluate theexpression.


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsAlgebra: Variables and Expressions

1. FIELD TRIP The seventh grade mathclasses are going on a field trip. Thefield trip will cost $7 per student. Writean expression to find the cost of thefield trip for s students. What is thetotal cost if 26 students go on the trip?

2. SOCCER Jason earns $20 per game as areferee in youth soccer games. Write anexpression to find how much moneyJason will earn for refereeing anynumber of games. Let n represent thenumber of games Jason has refereed.How much will he earn for refereeing 6 games?

3. PROFIT The expressions c � e, where cstands for the money collected and estands for the expenses, is used to findthe profit from a basketball concession.If $500 was collected and expenseswere $150, find the profit for theconcession.

4. SAVINGS Kata has a savings accountthat contains $230. She decides todeposit $5 each month from hermonthly earnings for baby-sitting afterschool. Write an expression to find howmuch money Kata will have in hersavings account after x months. Let xrepresent the number of months. Thenfind out how much she will have in heraccount after 1 year.

5. MONEY Mr. Wilson has $2,500 in hissavings account and m dollars in hischecking account. Write an expressionthat describes the total amount that hehas in both accounts.

6. ANIMALS Write an expression torepresent the total number of legs on hhorses and c chickens. How many legsare there in 5 horses and 6 chickens?

7. T-SHIRTS The band wants to order T-shirts. The T-shirts cost $15 each plusa shipping fee of $10. Write anexpression to find the total cost of cT-shirts.

8. TEMPERATURE The expression �95�C � 32,

where C stands for temperature indegrees Celsius, is used to convertCelsius to Fahrenheit. If thetemperature is 20 degrees Celsius, findthe temperature in degrees Fahrenheit.


Practice: Word ProblemsAlgebra: Equations

NAME ________________________________________ DATE ______________ PERIOD _____

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1–51. GAS MILEAGE Mr. Moseley’s car has a

20-gallon gas tank. It took 14 gallons ofgas to fill his tank. Use the equation14 � g � 20 to find the number ofgallons g that he had before he filledhis tank with gas.

2. PAINTING Latisha earned $5 an hourpainting for her dad. If she made $40last week, use 5h � 40 to find howmany hours h she painted.

3. LUMBER Mrs. Garcia had a piece ofboard that was 15 feet long. She cut off6.5 feet. Use the equation 6.5 � � � 15to determine how much of the board �she has left.

4. MAGAZINES Mahpee was sellingmagazine subscriptions. He earned $5plus $0.50 for each subscription hesold. If Mahpee earned $25, use theequation 25 � 5 � 0.50n to find thenumber of subscriptions n he sold.

5. TIRES The cost of a car tire is $45 plus$10 per order regardless of the numberof tires purchased. If Mrs. Sato placesan order for $190, use the equation 45t � 10 � 190 to find the number oftires t she purchased.

6. AREA If the area of a rectangle is 30 square centimeters and the length is 6 centimeters, use the equation 30 � 6w to find the width w of therectangle.

7. SUPPLIES The Jones Middle School had$4,000 to spend on office supplies. Theyhad already spent $1,250. Use theequation 1,250 � d � 4,000 to find howmuch money d the school had left forother supplies.

8. PENCILS Mi-Leng spent 90 cents on 6 pencils. Use the equation 90 � 6c tofind the cost c of each pencil.


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsAlgebra: Properties

1. MUSIC Mr. Escalante and Mrs. Turnerplan to take their music classes to amusical revue. Tickets cost $6 each. Mr.Escalante’s class needs 22 tickets, andMrs. Turner’s class needs 26 tickets.Use the Distributive Property to writea sentence to express how to find thetotal cost of tickets in two ways.

2. SAVINGS Mrs. Perez was looking at herbank account statement. She noticedthat her beginning balance was $500,and she had added nothing to heraccount. What was the ending balanceon her statement? What property didyou apply?

3. ADDITION Mr. Brooks was working onaddition using dominos with a group of1st graders. When picking the dominowith 3 dots on one end and 5 dots onthe other, some students read. “3 plus 5equal 8” while others read it as “5 plus3 equals 8.” What property were thesechildren using? Explain.

4. AREA Aleta noticed that for therectangle below she could eithermultiply 2 times 3 or 3 times 2 to getits area of 6 square inches. Whatproperty allows her to do this?

2 in.

3 in.

5. NUMBER CUBES Students in Mr. Rivas’class were practicing theirmultiplication skills by rolling three 6-sided number cubes. Wapi rolled a 2,a 3, and a 5 on his roll. He multipliedthe three numbers as follows using theorder of operations: (2 � 3) � 5 � 30.Write another way Wapi could haveperformed the multiplication withoutchanging the order of the numbers.State the property you used.

6. FACTS Bik was working on memorizingher multiplication facts. She noticedthat anytime she multiplied a numberby 1, she got the same number shestarted with. What property allows thisto be true?

7. MONEY Mei was trying to figure outthe cost of 4 boxes of cereal for $2.25each. Write a sentence to show Mei aneasy way to do her calculations. Whatproperty did you apply to help her?

8. WALKING Jacob walked 3 blocks toPing’s house, then 5 blocks to Jamal’shouse. Write a sentence to show thatthe distance from Ping’s to Jamal’s isthe same as the return walk home.Name the property illustrated in yoursentence.


Practice: Word ProblemsSequences

NAME ________________________________________ DATE ______________ PERIOD _____

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1. NUMBERS The multiples of two form asequence as follows: 2, 4, 6, 8, 10, 12,14, 16, …. What type of sequence doyou see? What about the multiples ofthree? Four? Five?

2. OLYMPICS The summer Olympics occurevery four years. If the last summerOlympics happened in 2000, when arethe next three times that it will occur?What type of sequence do the Olympicyears form?

3. BABY-SITTING Tonya charges $3.50 perhour to baby-sit. The sequence $3.50,$7.00, $10.50, $14.00, … representshow much she charges for eachsubsequent hour. For example, $10.50is the third term that represents howmuch she charges for 3 hours. What arethe next three terms in the sequence?How much does she charge for 7 hoursof baby-sitting?

4. RECTANGLES Suppose you start with 1rectangle and then divide it in half. Younow have 2 rectangles. You divide eachof these in half, and you have 4rectangles. The sequence for thisdivision is 1, 2, 4, 8, 16, . . . rectanglesafter each successive division. Whattype of sequence results?

5. BACTERIA Three bacteria are in a dish.Each hour the number of bacteriamultiplies by four. If at the end of thefirst hour there are 12 bacteria, howmany bacteria are there at the end ofthe next three hours? What type ofsequence results?

6. ENROLLMENT The enrollment at GroveMiddle School is expected to increaseby 40 students each year for the next 5years. If their current enrollment is 600students, find their enrollment aftereach of the next 5 years.

7. SALARY Mrs. Malone’s current salary is$1,500. She expects it to increase $100per year. Write the first 6 terms of asequence that represents her salary.The first term should be her currentsalary. What does the sixth termrepresent?

8. FIBONACCI The Fibonacci sequence isnamed after Leonardo Fibonacci whofirst explored it. Look at the Fibonaccisequence below and describe itspattern. Is it arithmetic, geometric orneither? 1, 1, 2, 3, 5, 8, 13, 21, 34, …


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsMeasurement: The Metric System

1. RUNNING Each morning Carlos runs 1.5 kilometers. How many meters didhe run?

2. AVIATION A helicopter was flying 800 meters above the ground. Howmany kilometers above the ground wasit flying?

3. SODA A soda can contains 355milliliters of liquid. How many liters ofliquid does it contain?

4. CONSTRUCTION The ceilings of mostclassrooms are about 2.5 meters abovethe floor. How many centimeters high isthe ceiling?

5. FENCING Gerri’s garden is 1,270 centimeters around the edges.How many meters of fencing materialdoes she need to enclose her garden?

6. GARDENING Mr. Chou’s lawn sprinkersprays about 150 liters of water eachhour. How many kiloliters of water doesit spray?

7. NUTRITION For 11- to 14-year-olds, theRecommended Dietary Allowance(RDA) for protein is about 60 gramsdaily. How many milligrams do theyneed daily?

8. MEASUREMENT A measure of one poundis equivalent to about 454 grams. Howmany kilograms are in one pound? Howmany milligrams?


Practice: Word ProblemsScientific Notation

NAME ________________________________________ DATE ______________ PERIOD _____

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1. ICEBERG The biggest iceberg ever seenthat had split off the Ross Ice Shelf inAntarctica happened during the springof 2000. It was estimated to weighabout 4,000,000,000,000 tons. Write itsweight in scientific notation.

2. PLANETS The average distance betweenEarth and the Sun is 92,960,000 miles.Write this distance in scientificnotation.

3. POPULATION The population of Texaswas about 20,900,000 in the 2000 U.S.census. Write this number in scientificnotation.

4. BASEBALL Willie Mays hit 6.6 � 102

career home runs. Write 6.6 � 102 instandard form.

5. EARTH The mass of Earth is about6,580,000,000,000,000,000,000 tons.Write this value in scientific notation.

6. LIGHT The speed of light is about 2.998 � 108 meters per second or about1.86 � 105 miles per second. Writethese values in standard form.

7. WEALTH In 1999, the wealthiest man inthe world’s assets were estimated atabout $90,000,000,000. Write this valuein scientific notation.

8. POPULATION In 2001, the population ofthe world was about 6,160,000,000. Theprojected population of the world forthe year 2025 is about 7,840,000,000.Write these values in scientificnotation.


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5. Make a frequency table of the data.

FAVORITE COLORS For Questions 1–3, use the table below. It shows the favoritecolors of the students in Mr. Swatzky’sclass.

B � blue, R � red, G � green, Y � yellow,

O � orange, P � purple

1. Make a frequency table of the data.

Favorite Color

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsFrequency Tables

Tally Frequency

Holidays Tally Frequency

HOLIDAYS For Questions 4–6, use thetable below. It shows the number ofholidays in each month of 2003.

2. If one student changed his or her votefrom blue to yellow, what would be thefavorite color of most students?

3. If one student changed his or her vote fromred to purple, what would be the favoritecolor of the fewest students?

4. What is wrong with using theintervals 1–2, 3–4, and 5–6 torepresent the data in a frequencytable?

6. What is the interval and scale of yourfrequency table from Question 5?

Favorite Colors ofMr. Swatzky’s Students

B R R O B Y G G P BY B B Y R O B R B YG B O Y B Y G G G GP Y R R G

2003 Holidays3 5 5 54 4 1 02 6 5 2


IDITAROD RACE For Exercises 1 and 2, ENTERTAINMENT For Exercises 3 and 4,use the data in the table. It shows use the table. It shows the gross the number of days it took the winner amount collected during several to complete the Iditarod race. Broadway seasons.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsMaking Predictions

Year Winning Time (rounded tothe nearest day)

1976 191982 161988 111994 112000 9

Iditarod Race Winning Times

1. Make a line graph of the data. 2. Use your line graph from Exercise 2 topredict the winning time in 2006, if thetrend continues.

3. Make a scatter plot of the data. 4. Use your scatter plot to predict abouthow much money a Broadway seasonwill gross in 2005–2006, if the trendcontinues.

'76 '82 '88 '94 '00

6

42

8

101214161820

Tim

e (d

ays)

Year

0

Iditarod WinningTimes

'97–'9

8

'98–'9

9

'99–'0

0

'00–'0

1

Earn

ings

($ m

illio

ns)

Year

Broadway SeasonEarnings

300

200

100

400

500

600

700

800

0

Broadway SeasonEarnings

Year Earnings ($ million)

1997–1998 5581998–1999 5881999–2000 6032000–2001 666

TELEVISION SETS For Exercises 1–6, use the table below. It shows thenumber of television sets owned by 30 different families.

NAME ________________________________________ DATE ______________ PERIOD _____

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Practice: Word ProblemsLine Plots

1. Make a line plot for the data. 2. How many televisions do most familiesown?

3. What is the greatest number oftelevisions owned by a family?

4. What is the range of the data? 5

5. Identify any clusters, gaps, or outliers,if any exist, and explain what theymean.

6. Describe how the range of the datawould change if 5 were not part of thedata set.

Number of TVs2 1 2 4 3 02 3 2 3 4 21 2 2 3 4 03 1 3 2 1 25 3 4 3 0 0

NAME ________________________________________ DATE ______________ PERIOD _____


SCHOOL For Exercises 1–6, use the table below. It shows the number oftimes per day that students go to their lockers.

Practice: Word ProblemsMean, Median, and Mode

1. Make a frequency table of the data. 2. What is the range of the data? 10

3. Find the mean, median, and mode ofthe data. Round to the nearest tenth ifnecessary.

4. Would the mean, median, or mode bestrepresent the data? Explain.

5. Explain why the mean does not bestrepresent the data.

6. If the value 10 were dropped from thedata, find the median and the mode ofthe remaining data.

Numberof Visits

Tally Frequency

Student Locker Visits2 2 0 1 2 2 3 40 5 2 5 2 5 2 42 4 6 4 5 6 5 62 2 0 1 4 6 10 2


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ENDANGERED SPECIES For Exercises 1–6, use the table below. It showsthe number of endangered species in the U.S.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsStem-and-Leaf Plots

1. Make a stem-and-leaf plot of the data. 2. What group has the greatest number ofendangered species in the U.S.?

3. What group has the least number ofendangered species in the U.S.?

4. What is the range of the data? 68

5. Use your stem-and-leaf plot todetermine the median and mode.

6. How many groups have less than 30endangered species in the U.S.?

Group Number ofSpecies Group Number of

Species

mammals 63 clams 61birds 78 snails 20reptiles 14 insects 33amphibians 10 arachnids 12fishes 70 crustaceans 18

Endangered Species in U.S.

NAME ________________________________________ DATE ______________ PERIOD _____


SOCCER For Exercises 1–6, use the table below. It shows the number ofwins in a recent major league soccer season.

Practice: Word ProblemsBox-and-Whisker Plots

1. Find the lower extreme, LQ, median,UQ, and upper extreme.

2. Construct a box-and-whisker plot of thedata in the table.

3. What fraction of the data is greaterthan 7.5?

4. What fraction of the data is between7.5 and 13.5?

5. Determine the interquartile range. 6 6. Use the interquartile range todetermine the limits for the outliers.Are there any outliers?

Major League Soccer Wins16 13 7 8 10 414 13 11 5 16 13

PUPPIES For Exercises 1 and 2, use the EARTH SCIENCE In Exercises 3–6, use table below. It shows the results of a the table below. It shows the highestsurvey in which students were asked wind speeds in 30 U.S. cities.what name they would most like togive a new pet puppy.

NAME ________________________________________ DATE ______________ PERIOD _____

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Practice: Word ProblemsBar Graphs and Histograms

Highest Wind Speeds (mph)52 75 60 80 55 54 91 60 81 5853 73 46 76 53 46 73 46 51 4957 58 56 47 65 49 56 51 54 51

Name VotesMax 15Tiger 5Lady 13Shadow 10Molly 9Buster 2

1. Make a bar graph to display the data.

Favorite New Puppy Names

2. Use your bar graph from Exercise 1.Compare the number of votes the nameShadow received to the number of votesthe name Tiger received.

3. Make a histogram of the data.

Highest Wind Speeds

4. What is the top wind speed of most ofthe cities?

5. How many cities recorded wind speedsof 80 miles per hour or more?

6. How many cities recorded their highestwind speeds at 60 miles per hour ormore?

QUIZ SCORES For Exercises 1 and 2, use BOOK SALES For Exercises 3 and 4, usethe data shown in the table below. The the table below. It shows the numbertable shows the quiz grades for of books sold each day for 20 days.Ms. Andrey’s and Mr. Luna’s classes.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsMisleading Statistics


1. Ms. Andrey claims the average score ona quiz in her class was 25. Mr. Lunaclaims the average score on a quiz inhis class is 25. Explain how theyarrived at these figures.

2. What additional information could beuseful in analyzing the data?

3. Find the mean, median, and mode ofthe data. Which measure of centraltendency would be misleading indescribing the book sales? Explain.

4. Which value would most accuratelydescribe the data? Explain.

Quiz ScoresMs. Andrey’s

Class10 2015 2025 2525 2912 26

Mr. Luna’sClass

Book Sales Per Day

23 18 23 15

24 16 0 11

19 10 13 17

12 23 11 16

36 24 12 27


Practice: Word ProblemsIntegers and Absolute Value

NAME ________________________________________ DATE ______________ PERIOD _____

1. DEATH VALLEY The lowest point in theUnited States is Death Valley inCalifornia. Its altitude is 282 feet belowsea level. Write an integer to representthe altitude of Death Valley.

2. RAIN A meteorologist reported that inthe month of April there were 3 inchesmore rainfall than normal. Write aninteger to represent the amount ofrainfall above normal in April.

3. ARCHIMEDES A famous mathematicianand physicist named Archimedes wasborn in 287 B.C. Write an integer toexpress the year of his birth.

4. TEMPERATURE In our world’s tropicalrain forests, the average temperature ofevery month is 64 degrees above zeroor higher. Write an integer to expressthis temperature.

5. STOCK MARKET A certain stock gained5 points in one day and lost 4 pointsthe next day. Write integers torepresent the stock’s gains and lossesfor the two days.

6. ALTITUDE An airplane pilot changed hisaltitude by 100 meters. Describe whatthis could mean.

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Practice: Word ProblemsComparing and Ordering Integers


NAME ________________________________________ DATE ______________ PERIOD _____

HISTORY OF WRITING For Exercises 1 and 2,use the table below. It shows importantevents in the history of writing.

EXTREME TEMPERATURES For Exercises 3–5,use the table below. It shows the extremetemperatures for four states. Temperaturesare in degrees Fahrenheit.

Extreme Temperatures (�F)Event

The Iliad and the Odyssey arecomposed by Homer. 700 BC

Aprox.Year

T’sai Lun invents paper. 105 AD

Date of oldest existing papyrus 2200 BC

Ovid wrote Metamorphosis. 5 AD

Torah is compiled. 450 BC

Metal type developed in Korea 1241 AD

State

Nebraska

Alabama

�47

Maine

3

�30

Lowest

Florida �2

Highest

118

104

101

109

1. Write each year as an integer. 2. Order the integers from Exercise 1from least to greatest. Write a sentencedescribing the earliest and most recentevents in the table.

3. Arrange the highest temperatures from greatest to least.

4. What is the median low temperaturefor these four states?

5. Nebraska’s lowest temperature was�47�F, and Maine’s lowest temperaturewas �30�F. Write a true statementusing the two temperatures with thesymbol � or �.

6. MONEY Mr. Firewalks pays closeattention to how much money is in hischecking account. One week hedeposited $230, spent $15 on a lunch,and loaned $25 to a friend. Write eachtransaction as an integer, and list themfrom least to greatest.


SCHOOL For Exercises 1–4, use the coordinate plane at the right. It shows a map of the rooms in a junior high school.

�2�3�4�5

�2�3�4�5 21 4 53

Art Entrance

Library

Science

y

xO

12345

Computer Lab

Special Services

English

HistoryCounselor

Athletic Dept.

Music

Exit

Math

Nurse

Practice: Word ProblemsThe Coordinate Plane

NAME ________________________________________ DATE ______________ PERIOD _____

1. Thalia is in the room located at (�2, 1).What room is she in? Describe in wordshow to get from the origin to this point.

2. Thalia’s next class is 8 units to theright and 5 units down on the mapfrom where she is now. In what room isThalia’s next class? Find the orderedpair that represents the location of thatroom.

3. Tyrone is in the Art room, but his nextclass is in the History room. GiveTyrone directions on how to get to theHistory room.

4. On the map, which classrooms arelocated in the third quadrant? Describethe coordinates of all points in the thirdquadrant.

5. NEIGHBORHOOD Delsin made a map ofhis neighborhood in such a way thateach intersection is a point on acoordinate plane. Right now, Delsinstands at point (�4, �3). Give theordered pair of where he will be ifmoves 5 units to the right and 7 unitsup on the map.

6. NEIGHBORHOOD Refer to Exercise 5. Inwhich quadrant is Delsin when he isdone walking? Describe this quadrant.

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NAME ________________________________________ DATE ______________ PERIOD _____

Write an addition expression to describe each situation. Then find each sum.

Practice: Word ProblemsAdding Integers

1. FOOTBALL A team gains 20 yards. Thenthey lose 7 yards.

2. MONEY Roger owes his mom $5. Heborrows another $6 from her.

3. GOLF Juanita’s score was 5 over par onthe first 9 holes. Her score was 4 underpar on the second 9 holes.

4. HOT AIR BALLOON A balloon rises340 feet into the air. Then it descends130 feet.

5. CYCLING A cyclist travels downhill for125 feet. Then she travels up a hill50 feet.

6. AIRPLANE A plane descends 1,200 feet.Then it descends another 500 feet.


Subtract.

Practice: Word ProblemsSubtracting Integers

NAME ________________________________________ DATE ______________ PERIOD _____

1. FOOTBALL A team gained 5 yards ontheir first play of the game. Then theylost 6 yards. Find the total change inyardage.

2. CHECKING Your checking account isoverdrawn by $50. You write a checkfor $20. What is the balance in youraccount?

3. TEMPERATURE The average temperaturein Calgary, Canada, is 22�C in July and�11�C in January. Find the range ofthe highest and lowest temperatures inCalgary.

4. ROLLER COASTER A roller coaster beginsat 90 feet above ground level. Then itdescends 105 feet. Find the height ofthe coaster after the first descent.

5. SAVINGS Sonia has $235 in her savingsaccount. She withdraws $45. What isleft in her savings account?

6. BEACH Wai and Kuri were digging inthe sand at the beach. Wai dug a holethat was 15 inches below the surface,and Kuri dug a hole that was 9 inchesbelow the surface. Find the differencein the depths of their holes.

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Practice: Word ProblemsMultiplying Integers


Multiply.

NAME ________________________________________ DATE ______________ PERIOD _____

1. TEMPERATURE Suppose the temperatureoutside is dropping 3 degrees eachhour. How much will the temperaturedrop in 8 hours?

2. DIVING A deep-sea diver descendsbelow the surface of the water at a rateof 60 feet each minute. What is thedepth of the diver after 10 minutes?

3. STOCK A computer stock lost 2 pointseach hour for 6 hours. Find the totalpoints the stock fell.

4. DROUGHT A drought can cause thelevel of the local water supply to dropby a few inches each week. Suppose thelevel of the water supply drops 2 incheseach week. How far will it havedropped in 4 weeks?

5. MONEY Mrs. Rockwell lost money onan investment at a rate of $4 per day.How much did she lose after twoweeks?

6. TENNIS BALLS Josh purchased 8 cans oftennis balls. The cans came with 3 ballsin each can. How many balls did Joshpurchase?


Divide.

Practice: Word ProblemsDividing Integers

NAME ________________________________________ DATE ______________ PERIOD _____

1. STOCK MARKET During a 5-dayworkweek, the stock market decreasedby 65 points. Find the average dailychange in the market for the week.

2. MOTION Mr. Diaz decreased the speedof his car by 30 miles per hour over aperiod of 10 seconds. Find the averagechange in speed each second.

3. WEATHER Over the past seven days,Mrs. Cho found that the temperatureoutside had dropped a total of35 degrees. Find the average drop intemperature each day.

4. BASKETBALL The basketball team losttheir last 6 games. They lost by a totalof 48 points. Find the average numberof points by which each game was lost.

5. POPULATION The enrollment at DavisMiddle School dropped by 60 studentsover a 5-year period. What is theaverage yearly drop in enrollment?

6. SUBMARINE A submarine descends at arate of 60 feet each minute. How longwill it take it to descend to a depth of660 feet below the surface?

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OLYMPICS For Exercises 1–4, use the table that shows the number ofmedals won by each country in the 2002 Winter Olympics.

Let x represent the number of medals won by Italy.

Practice: Word ProblemsWriting Expressions and Equations

NAME ________________________________________ DATE ______________ PERIOD _____

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1. Write an expression using x torepresent the number of medals won byRussia.

2. Write an expression using x torepresent the number of medals won byCroatia.

3. Which country’s number of medals canbe represented by 2x?

4. Which country’s number of medals canbe represented by 2x � 10?

5. GEOGRAPHY The Virgin Islands wereacquired by the United States in 1927.This is 29 years after Puerto Rico wasacquired. Write an equation to modelthis situation.

6. POPULATION According to the CensusBureau, the U.S. population grew from281.4 million in April 2000 to 284.8million in July 2001. Write an equationto model this situation.

2002 Winter Olympic Medals

Country Medals Country Medals Country Medals

GermanyUSANorwayCanadaRussia

3534241716

AustriaItalyFranceSwitzerlandNetherlands

161211118

China FinlandSwedenCroatiaSouth Korea

87644


ANIMALS For Exercises 1–4, use the table.

The average lifespans of several different types of animals are shown in the table.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSolving Addition and Subtraction Equations

1. The lifespan of a black bear is 3 yearslonger than the lifespan of a zebra.Write an addition equation that youcould use to find the lifespan of a zebra.

2. Solve the equation you wrote inExercise 1. What is the lifespan of azebra?

3. The lifespan of a guinea pig is 8 yearsshorter than the lifespan of a puma.Write a subtraction equation that youcould use to find the lifespan of apuma.

4. Solve the equation you wrote inExercise 3. What is the lifespan of apuma?

5. TECHNOLOGY A survey of teens showedthat teens in Pittsburgh aged 12-17spend 15.8 hours per week online.Teens in Miami/Ft. Lauderdale spend14.2 hours per week online. Write andsolve an addition equation to find thedifference in time spent online by teensin these cities.

6. SPORTS Annika Sorenstam won the2002 LPGA Takefuji Classic with afinal score of 14 under par, or �14. Herscores for the first two of the threerounds were �6 and �4. What was Ms.Sorenstam’s score for the third round?

Average Lifespans of Animals

Animal Lifespan (yr) Animal Lifespan (yr)

Black BearDogGiraffeGray Squirrel

18121010

Guinea PigPumaTigerZebra

4?

16?


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSolving Multiplication Equations

1. TRAVEL The speed limit on an Arizonahighway is 75 miles per hour. Supposea truck traveling at the speed limitdrives 225 miles before the driver stopsfor a break. Write a multiplicationequation to find the length of time thetruck has traveled.

2. TRAVEL Solve the equation you wrote inExercise 1. How long did the trucktravel?

3. FLOWERS A gardening expertrecommends that flower bulbs beplanted to a depth of three times theirheight. Suppose Jenna determines thata certain bulb should be planted at adepth of 4.5 inches. Write amultiplication equation to find theheight of the bulb.

4. FLOWERS Solve the equation you wrotein Exercise 3. What is the height of thebulb?

5. EXERCISE A 125-pound person uses 4.4 Calories per minute when walking.Write a multiplication equation to findthe number of minutes of walking itwill take for a 125-pound person to use198 Calories.

6. EXERCISE Solve the equation you wrotein Exercise 5. How many minutes ofwalking it will take for a 125-poundperson to use 198 Calories?

7. ELECTRICITY The electric companycharges $0.06 per kilowatt hour ofelectricity used. Write a multiplicationequation to find the number of kilowatthours of electricity for which theEstevez family was charged if theirelectric bill was $45.84.

8. ELECTRICITY Solve the equation youwrote in Exercise 7. For how manykilowatt hours of electricity was theEstevez family charged?

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Practice: Word ProblemsSolving Two-Step Equations


NAME ________________________________________ DATE ______________ PERIOD _____

1. GOLF It costs $12 to attend a golf clinicwith a local pro. Buckets of balls forpractice during the clinic cost $3 each.How many buckets can you buy at theclinic if you have $30 to spend?

2. MONEY Paulo has $145 in his savingsaccount. He earns $36 a week mowinglawns. If Paulo saves all of hisearnings, after how many weeks will hehave $433 saved?

3. RETAIL An online retailer charges $6.99plus $0.55 per pound to ship electronicspurchases. How many pounds is a DVDplayer for which the shipping charge is$11.94?

4. MONEY Caitlin has a $10 giftcertificate to the music store. She haschosen a number of CDs from the $7bargain bin. If the cost of the CDs is$32 after the gift certificate is credited,how many CDs did Caitlin buy?

5. EMPLOYMENT Mrs. Jackson earned a$500 bonus for signing a one-yearcontract to work as a nurse. Her salaryis $22 per hour. If her first week’s checkincluding the bonus is $1,204, howmany hours did Mrs. Jackson work?

6. PHOTOGRAPHY Morgan subscribes to awebsite for processing her digitalpictures. The subscription is $5.95 permonth and 4 by 6 inch prints are $0.19each. How many prints did Morganpurchase if the charge for January was$15.83?


Practice: Word ProblemsInequalities

NAME ________________________________________ DATE ______________ PERIOD _____

1. HURRICANES The National HurricaneCenter issues a hurricane warning ifsustained winds of 74 miles per hour orhigher associated with a hurricane areexpected in a coastal area. Write aninequality showing the wind speeds forwhich a hurricane warning is issued.

2. BUSINESS An Internet companyreported that its earnings will be lessthan the 24 cents per share that waspredicted. Write an inequality showingthe possible earnings per share.

3. EXERCISE Jumping rope can burn 600 Calories per hour. Write and solvean inequality to find the number ofhours of jumping rope that it wouldtake for you to burn at least 450 Calories.

4. TRAVEL The speed limit on highways inFlorida is 70 miles per hour. Write andsolve an inequality to find how longwill it take you to travel the 105 milesfrom Orlando to St. Augustine if youtravel at or below the speed limit.

5. SHOPPING Suppose a DVD costs $19and a CD costs $14. Write an inequalityto find how many CDs you can buyalong with one DVD if you have $65 tospend. Solve the inequality.

6. TRAVEL Jeanine has driven 35 miles ofa 230-mile trip. If she is traveling at orbelow the 65-mile-per-hour speed limit,much longer can Jeanine expect tospend completing the trip?

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsFunctions and Linear Equations

1. TECHNOLOGY The fee for your pagerservice is $22 per month. Make afunction table that shows your totalcharge for 1, 2, 3, and 4 months ofservice.

2. TECHNOLOGY Use the information inExercise 1 to write an equation inwhich x represents the number ofmonths and y represents the totalcharge. Then graph the equation.

y

x

88

44

0

132

1 2 3 4 5 6 7

3. TRAINS Between Hiroshima andKokura, Japan, the bullet trainaverages a speed of 164 miles per hour,which is the fastest scheduled trainservice in the world. Make a functiontable that shows the distance traveledat that speed in 1, 2, 3, and 4 hours.

4. TRAINS Use the information in Exercise 3 to write an equation inwhich x represents the number of hoursand y represents the distance. Thengraph the equation.

y

x

656

328

0

984

1 2 3 4 5 6 7

5. GEOMETRY The formula for the volumeof a rectangular prism whose base hasan area of 8 square units is V � 8h,where V is the volume and h is theheight. Graph the function.

V

h

16

8

0

24

1 2 3 4 5 6 7

6. ANIMALS The fastest insect in theworld is the dragonfly with a top speedof 36 miles per hour. Write an equationusing x to represent hours and y torepresent distance. Then graph theequation.

y

x

72

36

0

108

1 2 3 4 5 6 7


Practice: Word ProblemsLines and Slope

NAME ________________________________________ DATE ______________ PERIOD _____

1. TRAVEL Suppose each of these functionswas graphed on a coordinate plane.Which line is steeper? Explain.

2. TRAVEL Use the data in Exercise 1.Find the slope of each line.

3. TRAVEL What does the slope of eachline that you found in Exercise 2represent?

4. NATIONAL PARKS Which section of thegraph shows the least increase inrecreational visits? Describe the slopeof this part of the graph.

1997 to 1998; positive and close

x

y

Recr

eatio

nal V

isits

(mill

ions

)

9.50

9.00

0

10.00

10.5019

97

1999

1998

2000

2001

Year

9.97 9.99

9.20

10.28

10.18

Great Smoky MountainsNational Park

5. NATIONAL PARKS Use the graph inExercise 4. What happened torecreational visits between 1998 and1999? Describe the slope of this part ofthe graph.

6. NATIONAL PARKS Use the graph inExercise 4. What happened to the salesbetween 2000 and 2001? Describe theslope of this part of the graph.

HoursTraveled

Distance (mi)

Scott Amparo

1 55 60

2 110 120

3 165 180

4 220 240

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Practice: Word ProblemsPrime Factorization

NAME ________________________________________ DATE ______________ PERIOD _____

1. FLAG When the United States had 48states, the stars were arranged in a 6 � 8 rectangular arrangement. Whatother rectangular arrangements of 48stars are possible?

2. MARCHING BAND A marching band has72 members. If they are to march withan equal number of people in each row,state all possible numbers of rows andnumbers of people in each row.

3. BIOLOGY The human face uses 14muscles to smile and 43 to frown.Which number is prime and which iscomposite? Explain.

4. BASEBALL CARDS Jack is arranging hisprized baseball cards in a frame. If hehas 24 cards, in how many differentnumbers of rows and columns can hedisplay them if each row has the samenumber of cards?

5. HISTORY It is estimated that Sophocles,an ancient Greek dramatist, died in406 B.C. Find the prime factorization of406.

6. ANATOMY There are 230 joints in thehuman body. Find the primefactorization of 230.

7. PHOTOS Bill is arranging 108 photos todisplay on a poster board for apresentation. If he arranges an equalnumber of photos in each row, in howmany different numbers of rows andcolumns can he arrange the photos?

8. ART The supreme example ofRenaissance genius, Leonardo da Vinci,passed away in 1519 A.D. Is 1519 acomposite or prime number? Explain.

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsGreatest Common Factor

1. TABLE TENNIS Rebecca has 20 tabletennis balls and 16 table tennispaddles. She wants to sell packages ofballs and paddles bundled together.What is the greatest number ofpackages she can sell with no leftoverballs or paddles?

2. TUMBLING Mr. Nicolet wants toorganize equal-sized groups of boys andgirls for tumbling exercises. If there are12 boys and 18 girls and each group isall boys or all girls, what is the largestsize group he can organize?

3. BAKE SALE Volunteers at a bake salewant to sell slices of banana nut breadand raisin bread packaged together.They have 63 slices of banana nutbread and 45 slices of raisin bread, andthey plan to use all the bread. What isthe greatest number of packages theycan put together? How many slices ofeach type of bread are in a package?

4. DOG TREATS Krista wants to give herdog a special treat. She has 81 dogbones and 54 pieces of beef jerky. If shewants to give her dog the same numberof treats every day, what is the greatestnumber of days she can feed the dogthese treats? How many of each typeshould she give the dog?

5. FRUIT TREES Mr. Farber has 84 peartrees and 180 apple trees. He wants toplant the trees in rows of equal width.Find the most trees that can be plantedin a row if each row has only one typeof tree.

6. BOARDS A scouting troop has threeboards of lengths 14 feet, 28 feet, and21 feet. If the boards must be cut toproduce equal-sized pieces, what is thelongest piece that can be cut with nowaste?


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSimplifying Fractions

1. EXAM Mr. Bonilla gave an exam and 20out of 25 students passed the exam.What fraction of the students passedthe exam? Write the answer in simplestform.

2. GASOLINE Aisha filled her car’s 24-gallon gas tank. She took a shorttrip and used 8 gallons of gas. Whatfraction of the full gas tank was usedon the trip? Write the answer insimplest form.

�13

�

3. BICYCLES A local community college has860 students. Of these 860 students,220 ride bicycles. Write the number ofbike riders as a fraction of the numberof students at the college in simplestform.

4. PRESIDENTS Of the first 22 presidents, 8were from New York. Write the numberof presidents from New York as afraction of the first 22 presidents insimplest form.

�141�

5. TIME Ten hours is what part of a day?Write the fraction in simplest form.

6. MEASUREMENT Eighteen inches is whatpart of a yard? Write the fraction insimplest form.

�12

�Le

sso

n 5

–3


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsFractions and Decimals

1. BOYS AND GIRLS There were 6 girls and18 boys in Mrs. Johnson’s math class.Write the number of girls as a fractionof the number of boys. Then write thefraction as a repeating decimal.

2. CATS In a neighborhood of 72 families,18 families own one or more cats. Writethe number of families who own one ormore cats as a fraction. Then write thefraction as a decimal.

�1782�; 0.25

3. CELLULAR PHONES In Italy, about 74of every 100 people use cellulartelephones. Write the fraction ofcellular phone users in Italy. Thenwrite the fraction as a decimal.

4. FRUITS Ms. Rockwell surveyed her class and found that 12 out of the 30 students chose peaches as theirfavorite fruit. Write the number ofstudents who chose peaches as afraction in simplest form. Then writethe fraction as a decimal.

�25

�; 0.4

5. TRAVEL Tora took a short trip of 320 miles. He stopped to have lunchafter he had driven 120 miles. Writethe fraction of the trip he hadcompleted by lunch in simplest form.Then write the fraction as a decimal.

6. VOTING In a recent school election,208 of the 325 freshmen voted in theirclass election. Write the fraction offreshmen who voted. Then write thefraction as a decimal.

�230285

�; 0.64


Practice: Word ProblemsFractions and Percents

NAME ________________________________________ DATE ______________ PERIOD _____

1. LUNCHES Three out of every 10students in Mr. Chan’s class bring theirlunch to school. Write this ratio as apercent.

2. COMPUTERS In 2000, 57 out of every100 school age children (ages 6 to 17years) had access to a computer both athome and at school. Write this ratio asa percent.

3. SALES TAX In one town, the sales tax is8%. Write this percent as a fraction insimplest form.

4. HYGEINE Ms. Agosto surveyed her classand found that 15 out of 30 studentsbrushed their teeth more than twice aday. What percent of students brushedmore than twice a day?

5. DISCOUNT A local retail store washaving a sale and offered all theirmerchandise at a 25% discount. Writethis percent as a fraction in simplestform.

6. SPACE FLIGHT About 64% of allindividuals who have flown in spacefrom 1961 to 2001 are from the UnitedStates. Write this percent as a fractionin simplest form.

�1265�

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPercents and Decimals

1. AREA New Mexico’s land area is about0.03 of the total area of the UnitedStates. What percent is New Mexico’sland area of the total area of theUnited States?

2. SCALE MODEL A scale model of abuilding is 0.25 the actual size. Whatpercent of the actual size of thebuilding is the model?

3. NFL COACHES Don Shula ranks amongthe most successful coaches in theNational Football League. In his career,he won 0.665 of his games. Write thedecimal as a percent.

4. SOFTBALL Jenny’s batting average is0.346. Write the decimal as a percent.

5. VITAMINS A multiple vitamin contains450 milligrams of calcium. This is 45%of the recommended daily allowance.Write the percent as a decimal.

6. BASKETBALL Tao makes 74% of his freethrows. Write the percent as a decimal.

7. SALES TAX The sales tax in a town is7.25%. Write the percent as a decimal.

8. FIELD TRIP In Ms. Silver’s English class,

20�14�% of the students signed up to visit

a local museum. Write the percent as adecimal.


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsLeast Common Multiple

1. PROMOTION In a promotion for a localdelicatessen, every eighth customer willget a free sandwich and every sixthcustomer will get a free drink. Whichcustomer will be first to get both a freesandwich and a free drink?

2. WORK Alano and Abey both work atnight. Alano has every fourth night offand Abey has every sixth night off. Ifthey are both off tonight, how long willit be before they are both off again?

3. RADIO A radio station is giving away adiscount coupon to every twelfth callerand a free concert ticket to everytwentieth caller. Which caller will befirst to win both the coupon and theticket?

4. MUSIC Faith spent the same amount ofmoney on cassette tapes as she did onCDs. If tapes cost $12 and CDs cost$16, what is the least amount of moneyshe could have spent on each?

5. BIKES Three bike riders ride around acircular path. The first rider circles thepath in 12 minutes, the second in 18 minutes, and the third in 24 minutes. If they all start at thesame place, at the same time, and go inthe same direction, after how manyminutes will they meet at the startingpoint?

6. PAPER GOODS At a party store, papercups come in packages of 15, paperplates come in packages of 30, andnapkins come in packages of 20. Inorder to have the same number of cups,plates, and napkins, what is the leastnumber of each that must bepurchased?

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsComparing and Ordering Rational Numbers

1. RAIN The amount of rainfall wasmeasured after a recent storm. The

north side of town received �78� inch of

rain, and the south side received

�1135�

inch of rain. Which side of town

received more rain from the storm?

2. MOVIES Because he sees movies at hislocal theater so often, Delmar is being

offered a discount. He can have either

�13� off his next ticket or 30% off his next

ticket. Which discount should Delmarchoose? Explain.

�13

� off; �13

� � 30%

3. TRACK Willie runs the 110-meter

hurdles in 17�35� seconds, and Anier runs

it in 17�161�

seconds. Which runner is

faster?

4. FARMING Cassie successfully harvested

�172�

of her crop, and Robert successfully

harvested 58% of his crop. Whichperson successfully harvested thelarger portion of his or her crop?

5. TRANSPORTATION My-Lien has enoughroom in her truck to move 3.385 tons ofgravel. Her father has asked her to

move 3�156�

tons. Will My-Lien be able to

move all of the gravel in only one trip?Explain.

6. WOOD WORKING Kishi has a bolt

that is �58� inch wide, and she drilled a

hole 0.6 inch wide. Is the hole largeenough to fit the bolt? Explain.

No; �58

� � 0.6

7. PIZZA In a recent pizza-eating contest,

Alfonso ate 1�38� pizzas, Della ate 1�1

30�

pizzas, and Delsin ate 1�49� pizzas. Which

person won the contest?

8. STUDYING For a recent algebra exam,

Pat studied 1�185�

hours, Toni studied

1�1210�

hours, and Morgan studied 1�196�

hours. List the students in order bywho studied the most.


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COOKING For Exercises 1–4, use the recipe shown below.

serves 6

Practice: Word ProblemsEstimating with Fractions

NAME ________________________________________ DATE ______________ PERIOD _____

1. Daniel wants to serve twelve people theLightning Creamed Potatoes. Estimatehow much salt he will need if hedoubles the recipe.

2. Rosita wants to triple the recipe above.Estimate how many cups of paredpotatoes she will need.3 � 4 or 12 c

3. Alvin is going to serve six people. Heonly has 1�

14� cups of pared potatoes.

About how many cups of potatoes willhe have to borrow?

4. Katrina wants to make half of therecipe. About how many cups ofpotatoes will she need?

�12

� � 4 or 2 c

5. CARPENTRY A board is 17�34� inches long.

Carmen wants to shorten the length byabout 1�

78� inches. Estimate the length of

the board after the board has beenshortened.

6. TRACK Akira ran two miles. He ran thefirst mile in 7�

34� minutes and the second

mile in 8�34� minutes. Estimate how long

it took Akira to run two miles.

Lightning Creamed Potatoes

�13� cup water

1�12� teaspoon salt

3�34� cups pared potatoes, cut

in bite-size pieces

�13� cup finely chopped onion

�12� cup light cream

RETAIL STORES For Exercises 1–4 use the table below. It shows what fraction of the stores at a mall fall into seven categories.

NAME ________________________________________ DATE ______________ PERIOD _____


Practice: Word ProblemsAdding and Subtracting Fractions

1. What fraction of the stores are jewelryor gift stores?

2. What fraction of the stores are clothingor electronics stores?

�172�

3. Which type of store has the greatestnumber of stores?

4. How many more clothing stores arethere than athletic stores? Write as afraction.

�1330�

5. SEWING Jin wants to make a scarf andmatching hat for his sister. Thepatterns call for �

78� yard of fabric for the

scarf and �12� yard of fabric for the hat.

How much fabric should Jin buy?

6. RESTAURANT Ms. Malle owns arestaurant. Typically, �

15� of the

customers order fish, while �14� of the

customers order poultry. What fractionof her customers order either fish orpoultry?

Type of Store Fraction of Stores in Mall

jewelry �310�

clothing �185�

gifts �230�

electronics �210�

department �115�

shoes �115�

athletic �110�

HEIGHT For Exercises 1–6, use the table below. It shows the heights offive students. Write all answers in simplest form.

NAME ________________________________________ DATE ______________ PERIOD _____

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Practice: Word ProblemsAdding and Subtracting Mixed Numbers

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1. How much taller is Max than Felisa? 2. How much shorter is Karen thanArturo?

�56

� ft

3. If Silvia stood on a box that was 1�56�

feet high, how far would the top of herhead be from the floor?

4. What is the sum of Felisa and Silvia’sheights?

10�16

� ft

5. The distance from the floor to Karen’sknee is 1�

14� feet. What is the distance

from her knee to the top of her head?

6. Max grew �13� foot last year. How tall was

he last year?

5�152� ft

Student Height (ft)

Karen 5�16�

Arturo 6

Felisa 4�1112�

Max 5�34�

Silvia 5�14�

NAME ________________________________________ DATE ______________ PERIOD _____


Practice: Word ProblemsMultiplying Fractions and Mixed Numbers

1. POPULATION If �45� of the population of a

certain town is considered to be middleclass and the population of the town is2,000, how many people are consideredmiddle class?

2. READING Robin has read �34� of a book.

Mark said he had read �12� as much as

Robin. What fraction of the book has

Mark read?

�38

�

3. RADIO A radio station spends �410�

ofeach 24 hours on public serviceannouncements. How much time isspent on public service announcementseach day?

4. SALE A bicycle is on sale for �23� of its

original price. If the original price is$354, what is the sale price?

5. STUDENT POPULATION One sixth of thestudents at a local college are seniors.The number of freshmen students is 2�

12�

times that amount. What fraction of thestudents are freshmen?

6. SEWING Anna wants to make 4 sets ofcurtains. Each set requires 5�

18� yards of

fabric. How much fabric does she need?

20�12

� yd

7. RUNNING It takes Awan 8�13� minutes to

run one mile. It takes Kate 1�15� times

longer. How long does it take Kate to

run one mile?

8. STOCK Carl bought some stock at $25 ashare. The stock increased to 1�

12� times

its value. How much is the stock pershare?


Practice: Word ProblemsAlgebra: Solving Equations

NAME ________________________________________ DATE ______________ PERIOD _____

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1. BIKING The speed s that Brandon can ride his bike if he rides �

35� of an hour

and travels 4 miles is given by the equation 4 � �

35�s. What is Brandon’s

speed?

2. BAND The woodwind section of the

middle school band makes up �14� of the

band. There are 9 members in thewoodwind section. Use the equation

�14�m � 9 to find the number of members

m in the band. 36 members

3. SALE A coat is selling for �34� of the

original price. The sale price is $180.The original price p can be found using

the equation �34�p � 180. Find the

original price.

4. SALARIES Aaron’s annual salary is �23� as

much as Juanita’s salary. Aaron makes$46,000. Find Juanita’s salary x using

the equation 46,000 � �23�x. $69,000

5. ENDANGERED SPECIES In the U. S.,there are �

1249�

as many endangered species of birds as of reptiles. Thenumber of endangered species of birdsb can be compared to the 14 endangered species of reptiles using �

1249�

b � 14. Find the number of endangered species of birds.

6. SALES TAX The sticker price p of a

purchase with �110�

sales tax and a total

price (including tax) of $5.28 can be

found using the equation �1110�

p � 5.28.

What is the sticker price? $4.80

7. SEWING Each costume uses �34� yard of

fabric. The number of costumes c that can be made using 11�

14� yards of fabric

can be found using the equation�34�c � 11�

14�. Find the number of costumes

that can be made.

8. SAVINGS Jasmine saves $46 eachmonth from her part-time job. She

saves �25� of her earnings. Her earnings a

can be found by using the equation

equation �25�a � 46. Find her earnings.

$115


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsDividing Fractions and Mixed Numbers

1. PUPPETS If a puppet requires �34� yards of

material, how many puppets can bemade from 9 yards of material?

2. COOKING A batch of cookies requires1�

12� cups of sugar. How many batches

can Ty make with 7�12� cups of sugar?

3. FOOD Julia has 3�12� pounds of dog food.

She plans to split it equally among her7 dogs. How much will dog food willeach dog receive?

4. SNOW CONES Roger has a 28-poundblock of ice for his snow cone stand. Ifeach snow cone requires �

23� pound of ice,

how many snow cones can Roger make?

5. APPLES Juan took 6 apples and cuteach into one-eighths. How many piecesof apple did he have?

6. VACATION The Torres family drove1,375 miles during their 6�

14�-day

vacation. Find the average number ofmiles they traveled each day.

7. RUNNING Hugo just joined the cross-country team and can run at a rate of�17� mile each minute. How long will ittake him to run a 5-mile race?

8. LUMBER Mrs. Shin has a piece oflumber that is 11�

58� inches wide. She

plans to split the width of lumber into3 equal pieces. How wide will eachpiece be?

3�78

� in.


Practice: Word ProblemsMeasurement: Changing Customary Units

NAME ________________________________________ DATE ______________ PERIOD _____

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1. WEIGHT The average weight of a babyat birth is 7 pounds. How many ouncesis this?

2. WATERFALLS The height of NiagaraFalls is 182 feet. How many yards highis it?

60�23

� yd

3. GASOLINE The gasoline tank of aminivan holds 18 gallons. How manyquarts is this?

4. TELEPHONES Portable telephones canweigh as little as 8 ounces. How manypounds is this?

�12

� lb

5. RECIPE A recipe for ice cream calls for56 fluid ounces of milk. How many cupsof milk is this?

6. STATUE The Statue of Liberty weighs450,000 pounds. How many tons isthis?

7. TUNNEL The Ted Williams Tunnelunder Boston Harbor is 8,448 feet long.How many yards is this?

8. COAL The United States exports over200 billion pounds of coal. How manytons is this?


Practice: Word ProblemsGeometry: Perimeter and Area

NAME ________________________________________ DATE ______________ PERIOD _____

1. PYRAMID The Great Pyramid in Egypthas a square base with sides 230meters long. Find the perimeter andarea of the base of the Great Pyramid.

2. WINDOWS Mrs. Johnson was planningto caulk around the frame of her patiodoors that measure 5 feet by 6�

12� feet. In

order to help her to know how muchcaulk to buy, find the perimeter of thedoors.

3. PENTAGON The Pentagon is a five-sidedbuilding that houses the U.S.Department of Defense in Arlington,Virginia. If each side of the Pentagonmeasures 921 feet, what is the walkingdistance around its exterior?

4. FENCING Mr. Lao is planning to build arectangular cattle pen that measures50 feet by 75 feet. Find the total lengthof fencing that he will need topurchase.

5. CARPET Mr. Yuji plans on buying carpetfor his bedroom that measures 12 feetby 12 feet. So he will know how muchcarpet to buy, find the area of hisbedroom.

6. BORDER Mrs. Jackson is going to put upa wallpaper border along the top of thewalls in her dining room. If the diningroom measures 16 meters by 12 meters, how much border should she buy?56 m

7. LOBBY A hotel lobby measures 40 yardsby 60 yards. Find the area andperimeter of the lobby’s floor.

8. MURAL An artist painted a muralmeasuring 9 feet by 20�

12� feet. Find the

area and perimeter of the mural.

184�12

� ft2; 59 ft

5 ft

6 ft12


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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsGeometry: Circles and Circumference

1. PLATES A manufacturing company isproducing dinner plates with adiameter of 12 inches. They plan to puta gold edge on each plate. Determinehow much gold edging they need foreach plate by finding the circumferenceof each plate. Round to the nearesttenth.

2. MONEY A dime has a radius of 8�12�

millimeters. Find the circumference ofa dime to the nearest tenth.

3. MERRY-GO-ROUND Mr. Osterhout isputting trim around the edge of acircular merry-go-round that has adiameter of 15 feet. How much trimdoes he need to buy to the nearesttenth?

4. PIZZA Find the circumference of a pizzawith a diameter of 10 inches. Round tothe nearest tenth.

5. RACING A circular racetrack has adiameter of �

12� mile. How far does a car

travel in one lap around the track?Round to the nearest tenth.

6. TIRE A bicycle tire has a radius of 15inches. What is the circumference ofthe tire? Round to the nearest tenth.

7. EQUATOR Earth’s diameter at theequator is 7,926 miles. Find thedistance around Earth at its equator tothe nearest tenth.

8. SATURN The ring system aroundSaturn has a diameter of 170,000miles. Find the circumference of thering system.


Practice: Word ProblemsRatios

NAME ________________________________________ DATE ______________ PERIOD _____

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1. ELECTIONS In an election for sheriff,210 people voted. If there were 1,260possible voters, write a ratio to comparethe number of people who voted to thenumber of possible voters.

2. DENTAL CARE Taru surveyed 60 dentistsand found that 48 favored the use offluoride toothpaste. Write a ratio tocompare the number of dentistsfavoring the use of a flouridetoothpaste to all dentists surveyed.

3. E-MAIL One morning, Mirna counted 15 junk E-mails out of 21 E-mails inher inbox. Write a ratio comparing thenumber of junk E-mails to the totalnumber of E-mails.

4. SURFING One evening at his local surfspot, Jeff counted 28 surfers in thewater. Among those, he counted 21 thathad hoods on their wetsuits. Write aratio comparing the number of surferswith hoods to the total number ofsurfers.

�34

�

5. MUSIC A music company signed 12 newartists to its label in 2002. Out of the12, 10 artists have hit songs. Write aratio to compare the number of artistswith hit songs to the total number ofartists signed in 2002.

6. COOKING Charlene poured 18 fluidounces of juice into a 1-quart pitcher.Write a ratio comparing the amount ofjuice in the pitcher to the total capacityof the pitcher.

�196�

7. BASEBALL In baseball, David has 10 hits out of 14 at bats. Adam has 15 hits out of 21 at bats. For eachplayer, write a ratio that represents histotal number of hits out of times at bat.Are these ratios equivalent?

8. DRIVING Sarah can drive 198 miles on11 gallons of gasoline. On 6 gallons ofgasoline, Rachel can travel 138 miles.Write a ratio that compares milestraveled per gallon of gasoline for eachcar. Do the cars get the same mileage?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsRates


1. TRAVEL During Sonia’s trip across thecountry, she traveled 2,884 miles. Hertrip took 7 days. Find a unit rate torepresent the average miles shetraveled per day during the trip.

2. BUDGET Steve was offered $5,025 peryear for a weekend lifeguarding job at alocal pool. He wants to know how muchhis monthly income will be at thissalary level. What is his rate of pay indollars per month?

3. MUSIC Randall recorded 8 songs on hismost recent CD. The total length of theCD is 49 minutes. Find a unit rate torepresent the average length per songon the CD.

4. CARPETING Hana paid $1,200 for thecarpet in her living room. The room hasan area of 251.2 square feet. What washer unit cost of carpeting in dollars persquare foot? Round to the nearest cent.

5. SHOPPING An 8-ounce can of tomatoescosts $1.14. A 12-ounce can costs $1.75.Which can of tomatoes has the betterunit price?

6. PETS Last month, Hao’s dog ate 40cans of dog food in 31 days. How manycans should Hao buy to feed his dog forthe next 6 days?


Practice: Word ProblemsSolving Proportions

NAME ________________________________________ DATE ______________ PERIOD _____

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1. COOKING Theo wants to use a cookierecipe that makes 36 cookies but hewants to reduce the number of cookiesto 24. If the recipe specifies using 2 cups of sugar, how much sugar shouldhe use?

2. MEDICINE In order to determine herpulse rate, June’s nurse counted 18 beats in her pulse in 15 seconds. Atthis rate, how many beats would shehave in 60 seconds?

3. LABOR Ed earned $112 for 8 hours ofwork. At this rate, how much will heearn for 40 hours of work?

4. TRAVEL Rita traveled 1,250 miles in the first 3 days of her trip. At this rate, how long will it take her to travel 1,875 miles?

4�12

� days

5. MODELS An architect built a model of a220-foot tall building he is designing.The model is 25 inches tall and 10 inches wide. How wide is the actualbuilding?

6. TESTING Mary is preparing for hercollege entrance exams. In a practicetest, she answered 12 problems in 30 minutes. At this rate, how manyquestions can she expect to answer in150 minutes?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsScale Drawings


1. CARS A scale drawing of an automobile

has a scale of 1 inch � �12� foot. The

actual width of the car is 8 feet. Whatis the width on the scale drawing?

2. MODELS A model ship is built to a scaleof 1 centimeter:5 meters. The length ofthe model is 30 centimeters. What isthe length of the actual ship?

3. BUILDING Jose wants to build a modelof a 180-meter tall building. He will beusing a scale of 1.5 centimeters �3.5 meters. How tall will the model be?Round your answer to the nearesttenth.

4. TRAVEL Susan is driving to MountShasta. On her map, she is a distance

of 7�34� inches away. The scale of the map

is �12� inch � 50 miles. How far must

Susan travel to reach her destination?

5. MAPS A map of Levi’s property is beingmade with a scale of 2 centimeters:3 meters. What is the scale factor?

6. LANDSCAPING A pond is being dugaccording to plans that have a scale of1 inch � 6.5 feet. The maximumdistance across the pond is 9.75 incheson the plans. What will be the actualmaximum distance across the pond?


INTERNET For Exercises 1–4,use the table. It shows the percents of online shopping purchases made by all Internet users and the percents made by Internet users over age 55.

Practice: Word ProblemsFractions, Decimals, and Percents

NAME ________________________________________ DATE ______________ PERIOD _____

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Internet UsersOver 55

All InternetUsers

computer software 43% 19%

books 43% 21%

computer hardware 24% 13%

music CDs 29% 22%

clothing 19% 8%

1. What fraction of Internet users over 55bought clothing online?

2. What fraction of all Internet usersbought clothing online?

�225�

3. What fraction of all Internet usersbought music CDs online?

4. Is the fraction of Internet users over 55who bought books online greater or less

than �2520�

? Explain. Less than;�2520� � 44%, and 43% is less than

44%.

5. FOOTBALL In 2001 San Franciscoquarterback Jeff Garcia completed 316out of 504 passes. What was his passcompletion percentage to the nearesttenth?

6. COMPUTERS In Joan’s math class, thereare 20 computers and 32 students.What percent of students will be able touse a computer without sharing?

7. VEHICLES In the town of Orick, 5 out of13 vehicles are trucks. What percent ofthe vehicles are trucks? Round to thenearest tenth.

8. DENTISTRY Dana has fillings in 4 of her32 teeth. What percent of her teethhave fillings?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPercents Greater Than 100% and Percents Less Than 1%


1. INTERNET Kilroy found that 0.70% ofthe documents from the Internet hadnames that ended in “.txt” or “.text”.Write this percent as a decimal and asa fraction.

2. BUSINESS Jocelyn expects her newsoftware company to increase its sales

next year 2�38� times their present value.

Write this increase as a percent.

3. UTILITIES City records showed that 0.8%of new homes had no access toelectricity. Write this percent as adecimal and as a fraction in simplestform.

4. PETS Berto got a puppy 8 weeks ago. Inthis time, the puppy’s weight increased215%. Write this percent as a decimaland as a fraction.

2.15; 2�230�

5. MANUFACTURING The QualityAssurance department at a gearcompany found that there were 3defective gears for every 675 produced.Write this as a fraction and as apercent. Round to the nearesthundredth.

6. MEDICINE Estelle’s pharmacist saidthat the medicine Estelle was taking

contained no more than �5100�

gram of

impurities per gram of total weight.Write this fraction as a percent.

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SPORTS For Exercises 1 and 2, use PETS For Exercises 3 and 4, use the the graph below. It shows the results table below. It shows the pet ownership of a poll of 440 ninth grade students. in Los Angeles, California. Assume that Round answers to the nearest whole the same percents apply to a town of number. 1,650 households. Round answers to the

nearest whole number.

Baske

tball

Favorite Sports of Students

35.2%

Hocke

y

23.4%

Socc

er

11.8%

Foot

ball

8.9%

Volle

yball

7.4%

Baseb

all

7.4%

Other

5.9%

Practice: Word ProblemsPercent of a Number

NAME ________________________________________ DATE ______________ PERIOD _____

3. Write a proportion that can be used tofind how many households have atleast one dog. Then solve.

4. How many households have at leastone dog or cat?

5. VOTING Going into a recent election,only about 62% of people old enough tovote were registered. In a community ofabout 55,200 eligible voters, how manypeople are registered?

6. COLLEGE A local college recentlyreported that enrollment increased to108% percent of last year. If enrollmentlast year was at 17,113, about howmany students enrolled this year?Round to the nearest whole number.

1. Write a proportion that can be used tofind how many students surveyed chosehockey as their their favorite sport.Then solve.

2. How many students surveyed chosebasketball as their favorite sport?

Pets in Household Percent

at least one dog or cat 26.7

at least one dog 19.9

at least one cat 13

at least one dog and one cat 6.19

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsThe Percent Proportion


1. DRIVING David installed a device on hiscar that guaranteed to increase his gasmileage by 15%. He currently gets 22 miles per gallon. How much will thegas mileage increase after installingthe device?

2. POPULATION The number of students atMarita’s school decreased to 98% of lastyear’s number. Currently, there are1,170 students. How many studentswere there last year? Round to thenearest whole number.

3. VOTING Yolanda’s club has 35 members. Its rules require that 60%of them must be present for any vote.At least how many members must bepresent to have a vote?

4. GARBAGE This month, Chun’s officeproduced 690 pounds of garbage. Chunwants to reduce the weight of garbageproduced to 85% of the weightproduced this month. What is thetarget weight for the garbage producednext month?

5. SALARIES Alma just received a 6% raisein salary. Before the raise, she wasmaking $52,000 per year. How muchmore will Alma earn next year?

6. SPORTS Sally’s soccer team played 25 games and won 17 of them. Whatpercent did the team win?

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Practice: Word ProblemsPercent and Estimation

NAME ________________________________________ DATE ______________ PERIOD _____

1. ORCHESTRA The orchestra at MillardMiddle School has 120 members. Ofthese, 17% are eighth-grade students.Estimate the number of eighth-gradestudents in the orchestra.

2. RESTAURANTS In one west coast city,34% of the restaurants are on the river.The city has 178 restaurants. Estimatethe number of restaurants that are onthe river.

�13

� � 180 � 60 restaurants

3. FARMING Rhonda planted green beanson 67% of her farm. Rhonda’s farm has598 acres of land. Estimate the numberof acres of green beans on Rhonda’sfarm.

4. HOTELS At the Eastward Inn hotel, 47%of the rooms face the pool. The hotelhas 92 rooms. Estimate the number ofrooms that face the pool.

�12

� � 90 � 45 rooms

5. TREES The students in Leon’s seventhgrade science class determined that42% of the trees at a local park arepine trees. If there are 632 trees in thepark, about how many of them are pinetrees?

6. BOOKS Jenna has read 0.7% of a book.If the book has 431 pages, estimate thenumber of pages Jenna has read.

and �23

� · 4.2 � 2.8 pages

7. FITNESS At the office where Mikaworks, 40% of the 18 employeesexercise at least three times a week.Estimate the number of people whoexercise at least three times a week.

8. PETS Of all seventh grade students atHart Middle School, 0.3% of thestudents own a pet iguana. If there are610 seventh grade students at Hart,about how many own pet iguanas?

and �13

� · 6 � 2 students

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsThe Percent Equation


1. DINING Jonas and Linda’s restaurantbill comes to $23.40. They are planningto tip the waiter 15% of their bill. Howmuch money should they leave for atip?

2. CHESS The Briarwood Middle Schoolchess club has 55 members. 22 of themembers are in seventh grade. Whatpercent of the members of the chessclub are in seventh grade?

3. TENNIS In the city of Springfield, 75%of the parks have tennis courts. If 15parks have tennis courts, how manyparks does Springfield have altogether?

4. COLLEGE There are 225 students ineighth grade at Jefferson MiddleSchool. A survey shows that 64% ofthem are planning to attend college.How many Jefferson eighth gradestudents are planning to attendcollege?

5. BASEBALL In the 2001 season, theChicago Cubs won 88 out of 162 games.What percent of games did the Cubswin? Round to the nearest tenth ifnecessary.

6. HOUSING In the Stoneridge apartmentcomplex, 35% of the apartments haveone bedroom. If there are 49 one-bedroom apartments, what is the totalnumber of apartments at Stoneridge?

7. SPACE On Mars, an object weighs 38%as much as on Earth. How much woulda person who weighs 165 pounds onEarth weigh on Mars?

8. FOOTBALL In the 2001 season,quarterback Matt Hasselbeck of theSeattle Seahawks had 8 passesintercepted out of 321 attempts. Whatpercent of Matt Hasselbeck’s passeswere intercepted? Round to the nearesttenth if necessary.

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Practice: Word ProblemsUsing Statistics to Predict

NAME ________________________________________ DATE ______________ PERIOD _____

Shoes Percent

3 or less 10%

4 20%

5 21%

6 22%

7 19%

more than 7 8%

1. SHOES The table shows the results of asurvey in which seventh graders wereasked how many pairs of shoes theyown. Predict how many of the 632seventh graders at Seneca West MiddleSchool own more than 7 pairs of shoes.

about 51 seventh graders

2. ACTIVITIES Of the students listed asmembers of a high school academicteam, 75% were involved in sports,speech, music or debate. If 111 studentswere listed as part of the teams, howmany were involved in sports, speech,music, or debate?

3. MOVIEGOERS A research study foundthat about 63% of people 18 or olderwho go to the movies at least once amonth own a personal computer. Out of500 people 18 and older who go to themovies once or more a month, howmany of them would you expect to owna personal computer?

4. HAIR A survey showed that 37% ofpeople 12 to 17 years old use hair gel.Predict how many of the 30 students inMr. Avalon’s ninth grade class use hairgel.

5. GRADUATION A survey of first-yearstudents at North Carolina StateUniversity showed that about 73%expect to complete their degree in 4 years. If there are 3,333 first-yearstudents, how many of them expect tocomplete their degree in 4 years?

6. INTERNET A recent survey conducted bythe Millard school district showed that87% of households of students haveInternet access at home. If there are19,000 Millard households, how manyhave Internet access?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPercent of Change


1. SHOES A popular brand of runningshoes costs a local store $68 for eachpair. If the store sells the shoes for$119, what is the percent of increase inthe price?

2. CLUBS Last year the backgammon clubhad 30 members. This year the club has24 members. Find the percent ofdecrease in the number of members.

3. READING In the seventh grade, Rachelread 15 books. In the eighth grade, sheread 18 books. Find the percent ofincrease in the number of books Rachelread.

4. VOTES Last year 762 students voted inthe student council election at SanBruno Middle School. This year 721students voted. To the nearest tenth,what was the percent of change in thenumber of students that voted?

5. HEIGHT When Hugo was 9 years old hewas 56 inches tall. Hugo is now 12years old and he is 62 inches tall. Findthe percent of increase in Hugo’s heightto the nearest tenth.

6. PLANTS Alicia planted 45 tulip bulbslast year. This year she plans to plant65 bulbs. Find the percent of increasein the number of tulip bulbs to thenearest tenth.

7. PICTURES The 2002 yearbook atMiddleton Middle School had 236candid pictures of students. The 2001yearbook had 214 candid pictures ofstudents. To the nearest tenth, whatwas the percent of change in thenumber of candid student pictures?

8. POPULATION In 1990, there were4,298,000 Mexican immigrants living inthe United States. In 2000 this numberhad increased to 7,858,000. Find thepercent of increase to the nearesttenth.

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Practice: Word ProblemsSales Tax and Discount

NAME ________________________________________ DATE ______________ PERIOD _____

1. SKATEBOARDS Ines wants to buy askateboard but she does not know ifshe has enough money. The price of theskateboard is $85 and the sales tax is6%. What will be the total cost of theskateboard?

2. PRETZELS The Spanish club sold hotpretzels as a fund-raiser. The pretzelsnormally sold for $1.50, but near theend of the sale they wanted to sell asmany as possible, so they reduced theprice by 30%. What was the new pricefor a hot pretzel?

3. COMPUTERS Andrea ordered acomputer on the Internet. The

computer cost $1,499 plus 7�12�% sales

tax. What was the total amount Andreapaid for her computer?

4. BOOKS Nate went shopping at abookstore. The price of the book heselected was $14.95, but it had a salesticker on it. When he paid for thebook, he was charged $12.71 beforesales tax was added. What was thepercent of discount to the nearestpercent?

5. CELL PHONES Justin is buying a cellphone that has a regular price of $149. The cell phone is on sale for 15%off the regular price. What will be thesale price?

6. MAGAZINES Ivan bought two magazinesfor $4.95 each. If the sales tax was6.75%, what was the total amount thathe paid for the magazines?

7. MOVIES A video store is having a salein which DVDs are on sale for 20% off.During this sale, what is the cost ofthree DVDs that regularly cost $16.99?

8. MODELS The original price of acollectible model airplane is $115. Thediscounted price is $99. What is thepercent of discount to the nearestpercent?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSimple Interest


1. SAVINGS ACCOUNT How much interestwill Hannah earn in 4 years if shedeposits $630 in a savings account at6.5% simple interest?

2. INVESTMENTS Terry invested $2,200 inthe stock market for 2 years. If theinvestment earned 12% simple interest,how much money did Terry earn ininterest in 2 years?

3. SAVINGS ACCOUNT Malik deposited$1,050 in a savings account, and itearned $241.50 in simple interest afterfour years. Find the interest rate onMalik’s savings account.

4. INHERITANCE Kelli Rae’s inheritancefrom her great-grandmother was$220,000 after taxes. If Kelli Raeinvests this money in a savings accountthat earns $18,260 in simple interestevery year, what is the interest rate onher account?

5. RETIREMENT Mr. Pham has $410,000 ina retirement account that earns 3.85%simple interest each year. Find theamount earned each year by thisinvestment.

6. COLLEGE FUND When Melissa was born,her parents put $8,000 into a collegefund account that earned 9% simpleinterest. Find the total amount in theaccount after 18 years.

7. LOTTERY Raj won $900,000 in aregional lottery. After paying $350,000in taxes, he invested the remainingmoney in a savings account at 4.25%simple interest. How much money is inthe account if Raj makes no deposits orwithdrawals for two years?

8. SAVINGS Mona opened a savingsaccount with a $500 deposit and asimple interest rate of 5.6%. If therewere no deposits or withdrawals, howmuch money is in the account after

8�12� years? $738

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COINS Susan opened her piggy bank and countedthe number of each coin. The table at the rightshows the results. For Exercises 1–3, assume thatthe coins are put in a bag and one is chosen atrandom.

Practice: Word ProblemsSimple Events

NAME ________________________________________ DATE ______________ PERIOD _____

Coin Numberquarters 15

dimes 21

nickels 22

pennies 32

1. What is the probability that a quarteris chosen?

2. What is the probability that a nickel ora dime is chosen?

�4930�

3. What is the probability that the chosencoin is worth more than 5 cents?

4. NUMBER CUBES Juan has two numbercubes, each with faces numbered 1, 2, …6. What is the probability thathe can roll the cubes so that the sum ofthe faces showing equals 11?

�118�

5. SKATEBOARDS Carlotta bought a newskateboard for which the probability ofhaving a defective wheel is 0.015. Whatis the probability of not having adefective wheel?

6. CALCULATORS Jake’s teacher had 6calculators for 28 students to use. If thefirst students to use the calculators arechosen at random, what is theprobability that Jake will get one?

7. VEHICLES The rental car company had14 sedans and 8 minivans available torent. If the next customer picks avehicle at random, what is theprobability that a minivan is chosen?

8. MUSIC Tina has 16 pop CDs,6 classical, and 2 rock. Tina chooses aCD at random. What is the probabilityshe does not choose a classical CD?

�34

�

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsTree Diagrams


1. GASOLINE Craig stops at a gas stationto fill his gas tank. He must choosebetween full-service or self-service andbetween regular, midgrade, andpremium gasoline. Draw a treediagram showing the possiblecombinations of service and gasolinetype. How many possible combinationsare there?

2. COINS Judy tosses a coin 4 times. Drawa tree diagram showing the possibleoutcomes. What is the probability ofgetting at least 2 tails?

�1116�Fourth

TossThirdToss

SecondToss

FirstToss Space

Sample

3. COINS In Exercise 2, what is theprobability of getting 2 heads, then 2 tails?

4. EQUIPMENT The computer accessorythat Joanne is considering selling ather store comes in white, beige, gray,or black and as an optical mouse,mechanical mouse, or trackball. Howmany combinations of color and modelmust she stock in order to have at leastone of every possible combination?

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Practice: Word ProblemsThe Fundamental Counting Principle

NAME ________________________________________ DATE ______________ PERIOD _____

1. SURFBOARD Jay owns 3 surfboards and2 wetsuits. If he takes one surfboardand one wetsuit to the beach, howmany different combinations can hechoose?

2. SHOPPING John is trying to decidewhich bag of dog food to buy. The brandhe wants comes in 4 flavors and 3 sizes.How many choices are there?

3. LOTTERY To purchase a lottery ticket,you must select 4 numbers from 0 to 9.How many possible lottery tickets canbe chosen?

4. RESTAURANTS Miriam’s favoriterestaurant has 3 specials every day.Each special has 2 choices of vegetableand 3 choices of dessert. How manydifferent meals could Miriam have?

5. ROUTES When Sunil goes to thebuilding where he works, he can gothrough 4 different doors into the lobby.Then he can go to the seventh floor bytaking 2 different elevators or 2different stairways. How manydifferent ways can Sunil get fromoutside the building to the seventhfloor?

6. STEREOS Jailin went to her local stereostore. Given her budget and theavailable selection, she can choosebetween 2 CD players, 5 amplifiers,and 3 pairs of speakers. How manydifferent stereos can Jailin purchase?

7. DESSERT For dessert you can chooseapple, cherry, blueberry, or peach pie toeat, and milk or juice to drink. Howmany different combinations can youchoose from?

8. TESTS John is taking a true or falsequiz. There are six questions on thequiz. How many ways can the quiz beanswered?


Practice: Word ProblemsPermutations

NAME ________________________________________ DATE ______________ PERIOD _____

1. AREA CODES How many different 3-digit area codes can be created if nodigit can be repeated?

2. CARDS Jason is dealt five playingcards. In how many different orderscould Jason have been dealt the samehand?

3. PASSWORDS How many different 3-letter passwords are possible if noletter may be repeated?

4. RACING All 22 students in Amy’s classare going to run the 100-meter dash. Inhow many ways can the students finishin first, second, and third place?

5. LETTERS How many ways can youarrange the letters in the wordHISTORY?

6. PARKING The parking lot for a companyhas three parking spaces for compactcars. The company has 8 employeeswith compact cars. How many ways canthe compact parking spaces be filled?

7. SERIAL NUMBERS How many different 6-digit serial numbers are available ifno digit can be repeated?

8. WINNERS There are 156 ways for 2 carsto win first and second place in a race.How many cars are in the race?

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Practice: Word ProblemsCombinations

NAME ________________________________________ DATE ______________ PERIOD _____

1. SNACKS A vending machine can displaysix snacks. If there are eight differentkinds of snacks available, how manydifferent groups of six different snackscan be displayed?

2. MUSIC Each month, Jose purchases twoCDs from a selection of 20 bestsellingCDs. How many different pairs of CDscan Jose choose if he chooses twodifferent CDs?

3. TESTS On a math test, you can chooseany 20 out of 23 questions. How manydifferent groups of 20 questions canyou choose?

4. RESTAURANTS The dinner special at alocal pizza parlor gives you the choiceof two toppings from a selection of sixtoppings. How many different choicesare possible if two different toppingsare chosen?

5. TESTING In a science fair experiment,two units are selected for testing fromevery 500 units produced. How manyways can these two units be selected?

6. MEETINGS Linda’s teacher divided theclass into groups of five and requiredeach member of a group to meet withevery other member of that group. Howmany meetings will each group have?

7. BASEBALL A baseball coach has 13players to fill nine positions. How manydifferent teams could he put together?

8. GEOMETRY Ten points are marked on acircle. How many different trianglescan be drawn between any threepoints?


Practice: Word ProblemsTheoretical and Experimental Probability

HOBBIES For Exercises 1–3, use the TELEVISION For Exercises 5 and 6, use the graph of a survey of 24 seventh grade graph of a survey with 104 responses in students asked to name their favorite which respondents were asked about hobby. their favorite winter activities.

10 20 30 40 50 60 700

Building a snowmanSnowboarding/skiing

Sledding

What is your favorite winter activity?

1469

21

Respondents

2 4 6 8 10 12 140

SingingHanging with friends

Building thingsBike riding

T.V.Computer

Roller skatingSports

What is your favorite hobby?

13

12

333

8

Number of Students

NAME ________________________________________ DATE ______________ PERIOD _____

1. What is the probability that a student’sfavorite hobby is roller skating?

2. Suppose 200 seventh grade studentswere surveyed. How many can beexpected to say that roller skating istheir favorite hobby?

3. Suppose 60 seventh grade studentswere surveyed. How many can beexpected to say that bike riding is theirfavorite hobby?

4. MARBLES A bag contains 5 blue, 4 red,9 white, and 6 green marbles. If amarble is drawn at random andreplaced 100 times, how many timeswould you expect to draw a greenmarble?

5. What is the probability that someone’sfavorite winter activity is building asnowman? Write the probability as afraction.

6. If 500 people had responded, how manywould have been expected to listsledding as their favorite winteractivity? Round to the nearest wholeperson.

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Practice: Word ProblemsIndependent and Dependent Events

NAME ________________________________________ DATE ______________ PERIOD _____

1. SAFETY Eighty percent of all Californiadrivers wear seat belts. If three driversare pulled over, what is the probabilitythat all would be wearing their seatbelts? Write as a percent to the nearesttenth.

2. VEGETABLES A nationwide surveyshowed that 65% of all children in theUnited States dislike eating vegetables.If three children are chosen at random,what is the probability that all threedislike eating vegetables? Write as apercent to the nearest tenth.

3. QUALITY In a shipment of 50 calculators, 4 are defective. Twocalculators are randomly selected andtested. What is the probability thatboth are defective if the first one is notreplaced after being tested?

4. MARBLES A bag contains 6 greenmarbles, 2 blue marbles, and 3 whitemarbles. Gwen draws one marble fromthe jar, and then Jeff draws one marblefrom the remaining marbles. What isthe probability that Gwen draws a bluemarble and Jeff draws a white marble?

�535�

5. DEMONSTRATION Ms. Morris needs twostudents to help her with ademonstration for her class of 12 girlsand 14 boys. She randomly chooses twostudents. What is the probability thatshe chooses two girls?

6. SURVEY Ruben surveyed his class andfound that 4 out of 22 students walk toschool. If two of the 22 students areselected at random, what is theprobability that both walk to school?

�727�


Practice: Word ProblemsAngles

NAME ________________________________________ DATE ______________ PERIOD _____

1. CLOCKS The time shown on the clock is 11:05. Starting at this time,approximately what time will it bewhen the hands form an obtuse angle?

2. AIRPORT The runways at a local airportare sketched in the figure. Classify �1and �2 as acute, obtuse, right, orstraight.

�1 is obtuse; �2 is acute.

21

3. ALPHABET Which of the followingletters contain at least one acute angle?

A E L W

4. CLOCKS The time shown on the clock is12:07. After 20 minutes have gone by,will the angle formed by the hour andminute hands be acute, obtuse, right, orstraight?

obtuse

5. BALLET When a ballet dancer’s feet arein first position, the heels are touching,and the feet are turned out. A dancerwith excellent technique can positionhis or her feet so that they are nearlyin a straight line. Isabella is practicingher technique. Classify the angle herfeet form as acute, obtuse, or right.

6. ARCHITECTURE The plans for a newaquarium call for several hallways ofexhibits leading out of a circular mainroom. Because of the size of the tanksthat will be used, the angle formedbetween two adjacent hallways can beno smaller than 65�. What is themaximum number of hallways that canbe built leading out of the main room?

5

Main Room Hallway

Hallway

65˚

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LANGUAGES For Exercises 1 and 2,use the table that shows thenumber of people that speak thefive languages that are spokenby the most people in the world.

MILITARY For Exercises 3 and 4, use the table that shows the numberof people active in the United Statesmilitary in 2002.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsMaking Circle Graphs


CategoryCommercial and IndustrialResidentialTransportationOther

Spanish

Language Speakers (millions)

Hindi 366

English 341

322

Bengali 207

Chinese, Mandarin 874

Languages Spoken by the Most People

1. Find the degrees for each part of acircle graph that shows the data.

2. Make a circle graph of the data. Whichthree languages account for 41% of thetotal?

Bengali,

Languages Spoken by the Most People

Coast Guard

Air Force

Branch Personnel (thousands)

Navy 385

Marine Corps 174

368

38

Army 486

3. Make a circle graph of the data.United States Military Personnel Active Duty, 2002

4. Which two branches taken togetheraccount for almost half of the total?

United States Military, Active Duty, 2002


Practice: Word ProblemsAngle Relationships

NAME ________________________________________ DATE ______________ PERIOD _____

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1. PYRAMIDS A side view of the GreatPyramid at Giza is shown below. Thesides of the pyramid make an angle of52� with respect to the ground. What isthe value of x?

52˚x˚

2. RAILROAD A map shows a railroadcrossing a highway, as shown below.Which of the numbered angles arevertical angles?

�1 and �3

Railroad

Highway1

2 3

3. RAILROAD Refer to the map shown inExercise 2. If m�1 is 64�, what is themeasure of �2?

4. SKIING A ski jump makes an angle of27� with respect to the water as shownbelow. How are the 27� angle and theunknown angle related? What is thevalue of x?

supplementary angles; 153

27˚x˚

5. KITES A kite string makes an angle of48� with respect to the ground asshown below. The dashed line is verticaland the ground is horizontal. How arethe 48� angle and the unknown anglerelated? What is the value of x?

x°

48°

6. GAMES In a game of pick-up-sticks, thelast 4 sticks are shown below. Which ofthe numbered angles are verticalangles?

�7 and �8

34

56

78

1 2

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsTriangles


1. TAILORING Each lapel on a suit jacket isin the shape of a triangle. The threeangles of each triangle measure 47�,68�, and 65�. Classify the triangle by itsangles.

2. FLAGS A naval distress signal flag is inthe shape of a triangle. The three sidesof the triangle measure 5 feet, 9 feet,and 9 feet. Classify the triangle by itssides.

3. CARPENTRY The supports of a woodtable are in the shape of a righttriangle. Find the third angle of thetriangle if the measure of one of theangles is 23�.

4. MAPS The three towns of Ripon,Sparta, and Walker form a triangle asshown below. Classify the triangle byits angles and by its sides. What is thevalue of x in the triangle?

obtuse, isosceles; 38

38˚

104˚ ˚x

Ripon

Sparta Walker

50 mi30 mi

30 mi

5. HIKING The figure shows the OakCreek trail, which is shaped like atriangle. Classify the triangle by itsangles and by its sides. What is thevalue of x in the figure?

61˚

78˚ ˚x

Rocky Peak

Meadow Trail Head

1.5 mi1.3 mi

1.1 mi

Oak Creek

6. LADDER The figure shows a ladderleaning against a wall, forming atriangle. Classify the triangle by itsangles and by its sides. What is thevalue of x in the figure?

right, scalene; 27

53˚

˚x

9 ft

4 ft


Practice: Word ProblemsQuadrilaterals

NAME ________________________________________ DATE ______________ PERIOD _____

1. KITES A kite is shown below. What isthe best name to classify the shape ofthe kite? Explain.

2. MAPS A map showing the roadconnecting the towns of Pike, Hudson,Placid, and Alton is shown. The roadconnecting Pike and Hudson is parallelto the road connecting Alton andPlacid. What is the best name toclassify the shape of the roadsconnecting the four towns? Explain.

trapezoid; Sample answer: Two

HudsonPike

PlacidAlton

N

3. ART A picture frame is shown below.What is the best name to classify theshape of the frame?

1 ft

1 ft

4. SCHOOL SUPPLIES The side view of aneraser is shown below. What is the bestname to classify the shape of theeraser?

parallelogram

5. PARTY The front of a birthday partyinvitation is shown below. Find themeasure of the missing angle.

60˚ 120˚

120˚ x˚PARTY!

6. TABLE The top of Mr. Bautista’s newcoffee table is shown below. Find themeasure of the missing angle.

80�

60˚

120˚ 100˚

x˚

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MODEL CARS For Exercises 1 and 2, use the following information. A scale model racing car is 11 inches long,3 inches wide, and 2 inches tall. The actual racing car is shown at the right.

PHOTOGRAPHY For Exercises 3–4, use the given information. James wants to enlarge a photograph that is 6 inches wide and 4 inches tall so that it fits into the frame shown.

30 in.

22 ft

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSimilar Figures


1. How wide is the actual racing car? 2. How tall is the actual racing car? 4 ft

3. How tall must the frame be for thepicture to fit?

4. Suppose James cuts 1 inch from the width of the photo, so that it is 5 inches wide, before he makes theenlargement. How tall will the framehave to be for the picture to fit?

5. MAPS A map below shows the towns ofDover, Butler, and Lodi. If the actualdistance between Dover and Butler is24 miles, how far is it from Dover toLodi?

Lodi

ButlerDover

4 in.

3 in.

6. BLUEPRINTS A blueprint for a house isshown below. If the front of the houseis actually 30 feet wide, how tall is thehouse?

35 ft12 in.

14 in.


Practice: Word ProblemsPolygons and Tessellations

NAME ________________________________________ DATE ______________ PERIOD _____

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1. ROYALTY The outline of a crown wornby a king is shown below. Is the figurea polygon? If it is, classify the polygonand state whether it is regular. If it isnot a polygon, explain why.

2. ALCHEMY The symbol shown is one of the signs for salt alkali used in 17th-century chemistry. Is the symbol a polygon? If it is, classify the polygonand state whether it is regular. If it isnot a polygon, explain why.

yes; octagon; not regular

3. JEWELRY The symbol shown is oftenused to represent gems. Is the symbol apolygon? If it is, classify the polygonand state whether it is regular. If it isnot a polygon, explain why.

4. SYMBOLS The 5-pointed star shown hassides of equal length. Is the symbol apolygon? If it is, classify the polygonand state whether it is regular. If it isnot a polygon, explain why.

yes; decagon; not regular

5. STAIRS The figure shows a side view ofa set of stairs. Is the figure a polygon?If it is, classify the polygon and statewhether it is regular. If it is not apolygon, explain why.

6. TESSELLATIONS Identify the polygonsthat are used to create the tessellationshown in the figure.

triangle and hexagon

MAPS For Exercises 1–4, use the map at the right. Maple St.

Blonde St.

Dodge St.

Pacific Ave.

Center Rd.

Harrison St.

Kens

ingt

on A

ve.

Elm

woo

d Av

e.

Dela

war

e Av

e.

Mai

n St

.

New

Yor

k Av

e.

Calif

orni

a Av

e.

N


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsTranslations

1. Stanley’s school is located at the cornerof Center and Elmwood. The library islocated at the corner of Dodge andDelaware. Describe Stanley’s walk fromschool to the library as an ordered pairof the number of blocks.

2. After he goes to the library, Stanleygoes to his Aunt Jeanne’s house at thecorner of California and Harrison.Describe Stanley’s walk from thelibrary to his aunt’s house as anordered pair of the number of blocks.

3. If a bus picks up passengers at thecorner of New York and Maple anddrives 2 blocks south and 3 blocks west, where does the bus end up?

4. Organizers of a walkathon want to mapout a route that will lead people fromthe corner of Center and Kensington tothe corner of California and Maple.Write a coordinate pair that describesthe most direct route.

5. GEOMETRY The figure shows anoctagon plotted on a coordinate system.The figure is to be translated by 5 unitsleft and 5 units down. Graph thetranslated image of the figure.

y

xO

6. BANKS Clarissa is waiting in line at the bank. There are several people inline in front of her. Describe the pathClarissa must take to get to the front of the line if each time she moves up in line by one position is considered one unit.

1 unit right, 1 unit up, 3 units left

tellers

Clarissa


Practice: Word ProblemsReflections

NAME ________________________________________ DATE ______________ PERIOD _____

1. FLAGS The figure shows a flag similarto the national flag of Denmark. Howmany lines of symmetry does the flaghave? Draw all lines of symmetry.

2. FLAGS The figure shows a flag similarto the national flag of Switzerland.How many lines of symmetry does theflag have? Draw all lines of symmetry.

4

3. INTERIOR DESIGN An interior designerhas been hired to decorate a room thathas the shape of a regular hexagon.Before beginning work, the designerstudies the symmetry of the room. Howmany lines of symmetry does the roomhave? Draw all lines of symmetry onthe figure.

4. ASTROLOGY The figure shows theastrological symbol for Sagittariusplotted on a coordinate system. Reflectthe symbol across the x-axis. Graph thereflected image.

y

xO

5. ARCHITECTURE A corporate plaza is tobe built around a small lake. Building 1has already been built. Suppose thereare axes through the lake as shown.Show where Building 2 should be builtif it will be a reflection of Building 1across the y-axis followed by areflection across the x-axis.

y

xO

Building 1

Lake

6. ARCHITECTURE Use the informationfrom Exercise 5. Suppose that a thirdbuilding is to be built as shown. Tocomplete the business park, showwhere a fourth building should be builtif it is a reflection of Building 3 acrossthe x- and y-axis.

y

xO

Building 1Building 3

Lake

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSquares and Square Roots

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1. FERTILIZER John bought a bag of lawnfertilizer that will cover 400 squarefeet. What are the dimensions of thelargest square plot of lawn that the bagof fertilizer will cover?

2. GEOMETRY The area A of a circle insquare feet with a radius r in feet isgiven approximately by the formulaA � 3.14r2. What is the approximatearea of a circle with a radius of 3 feet?

3. MOTION The time t in seconds for anobject dropped from a height of h feetto hit the ground is given by the

formula t � ��23h2��. How long will it take

an object dropped from a height of 500 feet to hit the ground? Round tothe nearest tenth.

4. PACKAGING A cardboard envelope for acompact disc is a square with an areaof 171.61 square centimeters. What arethe dimensions of the envelope?

5. GEOGRAPHY Refer to the squaresbelow. They represent the approximateareas of California, Alabama, andNebraska. Find the area of Alabama.

277 mi

225 mi

395 mi

AL

NE

CA

6. Use the figure in Exercise 5. How muchlarger is California than Nebraska?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsEstimating Square Roots


1. GEOMETRY The diameter d of a circlewith area A is given by the formula

d � ��4�A��. What is the diameter of a

circle with an area of 56 square inches?Use 3.14 for � and round to the nearesttenth.

2. FENCING Carmen wants to buy fencingto enclose a square garden with anarea of 500 square feet. How muchfencing does Carmen need to buy?Round to the nearest tenth.

3. OCEANS The speed v in feet per secondof an ocean wave in shallow water ofdepth d in feet is given by the formulav � �32d�. What is the speed of anocean wave at a depth of 10 feet?Round to the nearest tenth.

4. LIGHTING A new flashlight has a beamwhose width w at a distance d from theflashlight is given by the formulaw � 1.2�d�. What is the width of thebeam at a distance of 30 feet? Round tothe nearest tenth.

5. SOUND The speed of sound in air c inmeters per second at a temperature Tin degrees Celsius is givenapproximately by the formula c � �402(T� 273�)�. What is the speedof sound in air at a temperature of 25 degrees Celsius? Round to thenearest tenth.

6. PROJECTILES The muzzle velocity v infeet per second necessary for a cannonto hit a target x feet away is estimatedby the formula v � �32x�. What muzzlevelocity is required to hit a target3,000 feet away? Round to the nearesttenth.

3,000 ft


Practice: Word ProblemsThe Pythagorean Theorem

NAME ________________________________________ DATE ______________ PERIOD _____

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1. ORIGAMI Chee has a piece of papermeasuring 8.5 inches by 8.5 inches. Ifshe folds the paper diagonally in half,how long is the folded side? Round tothe nearest tenth.

2. COMPUTERS In a computer catalog,a computer monitor is said to be 19 inches. This distance is the diagonaldistance across the screen. If the screenis 10 inches high, what is the width ofthe screen? Round to the nearest tenth.

3. ANTENNAS A wire 10 meters long issupporting a utility pole. The wire isanchored to the ground and is attachedto the pole 9 meters above the ground.What is the distance from the bottom ofthe pole to the point where the wire isattached to the ground? Round to thenearest tenth.

9 m10 m

x m

4. RAMPS Crystal wants to build a rampthat will rise 4 feet over a horizontaldistance of 20 feet. How long will theramp be? Round to the nearest tenth.

4 ft

20 ft

x ft

5. POOLS Salomon swims diagonallyacross his pool every day. If Salomon’spool is 4 meters wide and 16 metersdiagonally across, how long is his pool,to the nearest tenth of a meter?

6. FRAMES Rosa has a picture frame thatmeasures 12 inches by 18 inches. Whatis the diagonal distance across theframe? Round to the nearest tenth.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsArea of Parallelograms


1. SAILS Joyce wants to construct a sailwith the dimensions shown. How muchmaterial will be used?

14 ft

25 ft

2. SIGNS Pedro wants to make the sign inthe shape shown and needs to knowhow much material will be needed.What is the area of the sign?

30 in.

35 in.

YardSale

3. SHADING Alma’s engineering firm mustdetermine the area of the largestnoontime shadow that a proposedbuilding design will create. What is thearea of the shadow?

40 ft

56 ft

4. POOLS Tamika has designed a pool inthe shape shown. What is the area ofthe bottom of the pool if the surface isperfectly flat?

30 m20 m

5. CITY PLANNING Two parallel streets arecut across by two other parallel streetsas shown in the figure, cutting off aparcel of land in the shape of aparallelogram. Find the area of theparcel of land.

250 ft

340 ft

Main Street

Dresden Way

Colu

mbu

s Av

e.

Jeffe

rson

Ave

.

6. TARPS Neka wants to cut a tarp in theshape shown. What is the minimumamount of canvas cloth that he willneed?

36 ft

40 ft


Practice: Word ProblemsArea of Triangles and Trapezoids

NAME ________________________________________ DATE ______________ PERIOD _____

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51. GEOGRAPHY Arkansas has a shape thatis similar to a trapezoid with bases ofabout 182 miles and 267 miles and aheight of about 254 miles. Estimate thearea of the state.

2. PATIOS Greta is making a patio withthe dimensions given in the figure.What is the area of the patio?

172.5 ft2

15 ft

15 ft

8 ft

3. FLAGS Malila wants to make theInternational Marine Signal flag shownwhich represents the number six. Whatis the area of the flag?

30 in.100 in. 5 in.

4. SIGNS Estimate the area of the yieldsign.

390 in2

30 in.

26 in.

5. TILING A ceramics company wants toproduce tiles in the shape shown. Whatis the area of the surface of each tile?

8.5 cm

8.5 cm

6. GARDENING Kinu wants to buy topsoilfor a section of her garden that has thedimensions shown in the figure. Whatis the area of this section of Kinu’sgarden?

7 yd2

4 yd

3.5 yd

4 yd

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsArea of Circles


1. POOLS Susan designed a circular poolwith a diameter of 25 meters. What isthe area of the bottom of the pool?Round to the nearest tenth.

2. MONEY Find the area of the coin to thenearest tenth.

19 mm

3. DRUMS What is the area of thedrumhead on the drum shown below?Round to the nearest tenth.

14 in.

4. PIZZA Estimate the area of the top of around pizza that has a diameter of16 inches. Round to the nearest tenth.

5. GARDENING Jane needs to buy mulchfor the garden with the dimensionsshown in the figure. For how much areadoes Jane need to buy mulch? Round tothe nearest tenth.

5.5 yd

6. UTILITIES What is the area of the topsurface of a circular manhole cover thathas a radius of 30 centimeters? Roundto the nearest tenth.


Practice: Word ProblemsArea of Complex Figures

ARCHITECTURE For Exercises 1–6 use Jaco’spreliminary design of his vacation house at the right. Round to the nearest tenth ifnecessary.

8 ft4 ft

4 ft

4 ft

8 ft 4 ft

4 ft

4 ft

8 ft

8 ft 4 ft4 ft

2 ft

4 ft12 ft 4 ft

12 ft

16 ft

16 ft12 ft

16 ft

16 ft

4 ft 4 ft

bedroom1

kitchen bedroom2

bathroom

livingroomden

NAME ________________________________________ DATE ______________ PERIOD _____

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1. What type of figure is bedroom 1? Findthe area of bedroom 1.

2. What is the area of the bedroom 2?What figures did you use to find thearea?

3. What is the area of the bathroom?What are the dimensions of the figuresyou used to find this area?

4. What is the area of the living room?How many figures did you use to findthis area?

5. What is the area of the den? Whatwould the area of the den be if thesemicircular window were removed andreplaced with a flat window?

6. What is the area of the kitchen? If Jacoadds a rectangular cooking island inthe middle of the kitchen withdimensions 6 feet by 4 feet, how manysquare feet of walking space will beleft?


Practice: Word ProblemsArea Models and Probability

GAMES Each figure represents a square dartboard. If it is equallylikely that a thrown dart will land anywhere on the dartboard, findthe probability that it lands in the shaded region. Round to thenearest tenth.

NAME ________________________________________ DATE ______________ PERIOD _____

1. 2.

17.5%

3. 4.

9.6%

5 cm

30 cm

10 cm

2 in.

12 in.

2 in.

4 in.

8 in.

12 in.

4 in.11.3 in.

16 in.


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsDrawing Three-Dimensional Figures

1. ARCHITECTURE The Transamerica Pyramid, builtfrom 1969 to 1972, towersabove the San Franciscoskyline.

Draw the top, side, and frontviews of the Transamericabuilding.

2. MONUMENTS Since its completion in1965, Eero Saarinen’s 630-foot GatewayArch has stood above St. Louis.

Draw the top, side, and front views ofthe Gateway Arch.

3. GRAPHICS Dan is creating a computer-generated image of a coffee cup. To dothis, he needs to enter the top, side, andfront views of the cup. Draw the viewsthat Dan should enter.

4. HISTORY The Mausoleum atHalicarnassus is one of the SevenWonders of the Ancient World. Draw atop view, a side view, and a front viewof the mausoleum without the chariotstatue at the top.

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsVolume of Rectangular Prisms


1. PACKAGING A cereal box has a length of

8 inches, a width of 1�34� inches, and a

height of 12�18� inches. What is the

volume of the cereal box?

2. FOOD STORAGE Nara wants todetermine how much ice it will take tofill her cooler. If the cooler has a lengthof 22 inches, a width of 12 inches, and a

height of 10�12� inches, how much ice will

her cooler hold? 2,772 in3

3. TRANSPORTATION The cargo-carryingpart of Billy’s truck has a length of8.3 meters, a width of 3 meters, and aheight of 4.2 meters. What is themaximum volume of sand that Billy’struck can carry?

4. PLUMBING Alexia’s bathroom has a tubin the shape of a rectangular prismwith a length of 1.5 meters, a width of0.5 meter, and a height of 0.4 meter.How many cubic feet of water can ithold?

5. PACKAGING A box of tissues has alength of 11.2 centimeters, a width of11.2 centimeters, and a height of13 centimeters. What is the volume ofthe tissue box?

6. GEOMETRY A pentagonal prism is aprism that has bases that arepentagons. Use V � Bh where B is thearea of the base, to find the volume ofthe pentagonal prism below.

4.5 cm

B = 26.3 cm2

Practice: Word ProblemsVolume of Cylinders

NAME ________________________________________ DATE ______________ PERIOD _____


1. WATER STORAGE A cylindrical watertank has a diameter of 5.3 meters anda height of 9 meters. What is themaximum volume that the water tankcan hold? Round to the nearest tenth.

2. PACKAGING A can of corn has adiameter of 6.6 centimeters and aheight of 9.9 centimeters. How muchcorn can the can hold? Round to thenearest tenth.

3. CONTAINERS Tionna wants to determinethe maximum capacity of a cylindricalbucket that has a radius of 6 inchesand a height of 12 inches. What is thecapacity of Tionna’s bucket? Round tothe nearest tenth.

4. DESIGN Rodolfo is designing a new,cylindrical drinking glass. If the glasshas a diameter of 8 centimeters and aheight of 12.8 centimeters, what is itsvolume? Round to the nearest tenth.

5. PAINT A can of paint is 15 centimetershigh and has a diameter of 13.6 cm.What is the volume of the can? Roundto the nearest tenth.

6. SPICES A spice manufacturer uses acylindrical dispenser like the oneshown. Find the volume of thedispenser to the nearest tenth.

1.7 in.

3 in.

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NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSurface Area of Rectangular Prisms

1. PACKAGING A packaging companyneeds to know how much cardboardwill be required to make boxes18 inches long, 12 inches wide, and10 inches high. How much cardboardwill be needed for each box if there isno overlap in the construction?

2. INSULATION Jane needs to buyinsulation for the inside of a truckcontainer. The container is arectangular prism 15 feet long, 8 feet

wide, and 7�12� feet high. How much

insulation should Jane buy if all insidesurfaces except the floor are to beinsulated?

3. ICE Suppose the length of each edge ofa cube of ice is 4 centimeters. Find thesurface area of the cube.

4 cm

4. ICE Suppose you cut the ice cube fromExercise 3 in half horizontally into twosmaller rectangular prisms. Find thesurface area of one of the two smallerprisms.

5. CONTAINERS What is the total surfacearea of the inside and outside of acontainer in the shape of a rectangularprism with length of 5 meters, width of3 meters, and height of 2.2 meters?

6. TOYS Oscar is making a play block forhis baby sister by gluing fabric over theentire surface of a foam block. Howmuch fabric will Oscar need?

66.7 in2

6.1 in.2.3 in.

2.3 in.


NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsSurface Area of Cylinders

1. PACKAGING What is the area of thelabel on a box of oatmeal with a radiusof 9.3 centimeters and a height of 16.5 centimeters? Round to the nearesttenth.

2. TIRES Betty wants to know the totalsurface area of the tread on one of hertires. If the diameter of the tire is18 inches and the width of the tire is5 inches, what is the total surface areaof the tire’s tread? Round to the nearesttenth.

3. CANS A cylindrical can has a diameterof 6 inches and a height of 7.3 inches.What is the surface area of the can?Round to the nearest tenth.

4. CANS A cylindrical can has a height of14 centimeters and a radius of 4.2centimeters. Find the surface area ofthe can. Round to the nearest tenth.

5. MANUFACTURING How much sheetmetal is required to make a cylindricaltrash can with a diameter of 2 feet and

height of 4�14� feet? Round to the nearest

tenth. (Hint: Do not include the top.)

6. PLUMBING How much steel is needed tomake a hollow pipe with a radius of3 inches and a height of 15 inches?Round to the nearest tenth.282.7 in2

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FOOTBALL For Exercises 1–3, use the information about QuentinGriffin.

University of Oklahoma running back Quentin Griffin ran 248 yards on theground against No. 2 Texas to earn the USATODAY.com Player of the Weekhonors. The senior added two touchdowns in the fourth quarter to lift thethird-ranked Oklahoma Sooners past the Texas Longhorns 35-24.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsPrecision and Measurement

1. How many significant digits are in themeasurement of the distance thatQuentin Griffin ran?

2. What is the precision unit on a footballfield? Would the distance measurementbe more precise if the field wasmeasured in meters? Explain.

3. How many significant digits are in thescore of the game?

4. LAND SPEED On October 15, 1997, AndyGreen set the land speed record of763.035 miles per hour. How manysignificant digits are in themeasurement of the land speed record?

5. TRACK The record for the men’s highjump is held by Javier Sotomayor(Cuba), who became world championwith a distance of 2.45 meters on July 27, 1993, in Salamanca, Spain.How many significant digits are in themeasurement of the high jump record?

6. OCEANOGRAPHY On March 24, 1995,the Japanese probe Kaiko recorded thedepth of the Marianas Trench, thedeepest point in the ocean, at10,911 meters or 35,797 feet. Whichexpression of the measurement is moreprecise? Explain.

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