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Word Problem
Practice Workbook
00i_TP_881033.indd Page 1 1/15/08 10:45:43 AM user00i_TP_881033.indd Page 1 1/15/08 10:45:43 AM user /Volumes/ju104/MHGL149/Quark%0/Word Problem%/Application file%0/FM/Course 1/Volumes/ju104/MHGL149/Quark%0/Word Problem%/Application file%0/FM/Course 1
Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240
ISBN: 978-0-07-881033-6MHID: 0-07-881033-7 Word Problem Practice Workbook, Course 1
Printed in the United States of America1 2 3 4 5 6 7 8 9 10 009 13 12 11 10 09 08 07
To the Student This Word Problem Practice Workbook gives you additional examples andproblems for the concept exercises in each lesson. The exercises are designed to aid your studyof mathematics by reinforcing important mathematical skills needed to succeed in the everydayworld. The materials are organized by chapter and lesson, with one Word Problem Practiceworksheet for every lesson in Glencoe Math Connects, Course 1.
Always keep your workbook handy. Along with your textbook, daily homework, and class notes,the completed Word Problem Practice Workbook can help you in reviewing for quizzes and tests.
To the Teacher These worksheets are the same ones found in the Chapter Resource Mastersfor Glencoe Math Connects, Course 1. The answers to these worksheets are available at the endof each Chapter Resource Masters booklet as well as in your Teacher Wraparound Editioninterleaf pages.
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Lesson/Title Page1-1 A Plan for Problem Solving ...................11-2 Prime Factors ........................................21-3 Powers And Exponents .........................31-4 Order of Operations ..............................41-5 Algebra: Variables and Expressions ...51-6 Algebra: Functions ................................61-7 Problem-Solving Investigation:
Guess and Check..................................71-8 Algebra: Equations ................................81-9 Algebra: Area Formulas ........................92-1 Problem-Solving investigation: Make
a Table.................................................102-2 Bar Graphs and Line Graphs ..............112-3 Interpret Line Graphs ..........................122-4 Stem-and-Leaf Plots ...........................132-5 Line Plots ............................................142-6 Mean ...................................................152-7 Median, Mode and Range...................162-8 Selecting an Appropriate Display........172-9 Integers and Graphing ........................183-1 Representing Decimals .......................193-2 Comparing and Ordering Decimals ....203-3 Rounding Decimals .............................213-4 Estimating Sums and Differences.......223-5 Adding and Subtracting Decimals.......233-6 Multiplying Decimals by Whole
Numbers..............................................243-7 Multiplying Decimals ...........................253-8 Dividing Decimals by Whole
Numbers..............................................263-9 Dividing by Decimals...........................273-10 Problem-Solving Investigation:
Reasonable Answers ..........................284-1 Greatest Common Factor....................294-2 Simplifying Fractions ...........................304-3 Mixed Numbers and Improper
Fractions..............................................314-4 Problem-Solving Investigation: Make
an Organized List ................................324-5 Least Common Multiple ......................334-6 Comparing and Ordering Fractions.....344-7 Writing Decimals as Fractions.............354-8 Writing Fractions as Decimals.............364-9 Algebra: Ordered Pairs and
Functions.............................................375-1 Rounding Fractions and Mixed
Look for a Pattern................................526-6 Sequences and Expressions ..............536-7 Proportions and Equations..................547-1 Percents and Fractions .......................557-2 Circle Graphs ......................................567-3 Percents and Decimals .......................577-4 Probability ...........................................587-5 Constructing Sample Spaces..............597-6 Making Predictions..............................607-7 Problem-Solving Investigation:
Solve a Simpler Problem.....................617-8 Estimating with Percents.....................628-1 Length in the Customary System........638-2 Capacity and Weight in the
Customary System..............................648-3 Length in the Metric System ...............658-4 Mass and Capacity in the
Metric System .....................................668-5 Problem-Solving Investigation: Use
Benchmarks ........................................678-6 Changing Metric Units.........................688-7 Measures of Time ...............................698-8 Measures of Temperature ...................709-1 Measuring Angles ...............................719-2 Estimating and Drawing Angles ..........729-3 Angle Relationships ............................739-4 Triangles..............................................749-5 Quadrilaterals......................................759-6 Problem-Solving Investigation: Draw
a Diagram............................................769-7 Similar and Congruent Figures ...........7710-1 Perimeter.............................................7810-2 Circles and Circumferences ................7910-3 Area of Parallelograms........................8010-4 Area of Triangles .................................8110-5 Problem-Solving Investigation: Make
a Model ...............................................8210-6 Volume of Rectangular Prisms............8310-7 Surface Area of Rectangular Prisms...8411-1 Ordering Integers ................................8511-2 Adding Integers ...................................86
CONTENTS
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7. SHOPPING Josita received $50 as a gift.She plans to buy two cassette tapesthat cost $9 each and a headphone setthat costs $25. How much money willshe have left?
8. BUS SCHEDULE A bus stops at thecorner of Elm Street and Oak Streetevery half hour between 9 A.M. and 3 P.M. and every 15 minutes between 3 P.M. and 6 P.M. How many times willa bus stop at the corner between 9 A.M.and 6 P.M.?
ANIMALS For Exercises 1–3, use the table that shows the height andweight of caribou.
1. Which animal heights and weights areprime numbers?
2. Write the weight of caribou cows inkilograms as a prime factorization.
3. ANIMALS Caribou calves weigh about13 pounds at birth. Tell whether thisweight is a prime or a compositenumber.
4. SPEED A wildlife biologist once found acaribou traveling at 37 miles per hour.Tell whether this speed is a prime orcomposite number. Explain.
5. GEOMETRY To find the area of a floor,you can multiply its length times itswidth. The measure of the area of afloor is 49. Find the most likely lengthand width of the room.
6. GEOMETRY To find the volume of a box,you can multiply its height, width, andlength. The measure of the volume of abox is 70. Find its possible dimensions.
1. SPACE The Sun is about 10 � 10 millionmiles away from Earth. Write 10 � 10using an exponent. Then find the valueof the power. How many miles away isthe Sun?
2. WEIGHT A 100-pound person on Earthwould weigh about 4 � 4 � 4 � 4 poundson Jupiter. Write 4 � 4 � 4 � 4 using anexponent. Then find the value of thepower. How much would a 100-poundperson weigh on Jupiter?
3. ELECTIONS In the year 2000, thegovernor of Washington, Gary Locke,received about 106 votes to win theelection. Write this as a product. Howmany votes did Gary Locke receive?
4. SPACE The diameter of Mars is about 94 kilometers. Write 94 as a product.Then find the value of the product.
5. SPACE The length of one day on Venusis 35 Earth days. Express this exponentas a product. Then find the value of theproduct:
6. GEOGRAPHY The area of SanBernardino County, California, thelargest county in the U.S., is about 39 square miles. Write this as aproduct. What is the area of SanBernardino County?
7. GEOMETRY The volumeof the block shown can be found by multiplying the width, length, and height. Write the volume using an exponent. Find the volume.
2 in.2 in.
2 in.8. SPACE A day on Jupiter lasts about
10 hours. Write a product and anexponent to show how many hoursare in 10 Jupiter days. Then find thevalue of the power.
MONEY For Exercises 1–3, use the table that shows the price ofadmission to a movie theater.
1. Janelle (age 12) and her cousin,Marquita (age 14), go to a 7:00 P.M.show. Write an expression for the totalcost of admission. What is the totalcost?
2. Jan takes her three children and twoneighbor’s children to a matinee. All ofthe children are under age 13. Writean expression for the total cost ofadmission. How much in all did Janpay for admission?
3. Connor (age 13), his sister (age 7), andConnor’s parents go to a movie onSaturday night. Write an expression forthe total cost. What is the total cost?
4. SOCCER Eduardo is 16. Eduardo’s dadtakes him and his younger sister to asoccer match. Tickets are $17 for adultsand $13 for children (18 and under).Write an expression for the total cost ofthe tickets. What is the total cost of thetickets?
5. MONEY Frankie orders twohamburgers and a soda for lunch. Ahamburger is $3 and a soda is $1.00.Write an expression to show how muchhe paid for lunch. Then find the valueof the expression.
6. MONEY A store sells barrettes for $2each and combs for $1. Shelby buys 3 barrettes and a comb. Kendra buys 2 barrettes and 4 combs. Write anexpression for the amount the two girlsspent all together. Find the totalamount spent.
TRAVEL For Exercises 1 and 2, use the table that shows the distancebetween cities in Arizona.
Arizona Mileage Chart
Flagstaff Phoenix Tucson Nogales
Phoenix 136 miles 117 miles 181 miles
Tucson 253 miles 117 miles 64 miles
Nogales 317 miles 181 miles 64 miles
1. To find the speed of a car, use theexpression d � t where d represents thedistance and t represents time. Findthe speed of a car that travels fromPhoenix to Flagstaff in 2 hours.
2. To find the time it will take for abicyclist to travel from Nogales to
Tucson, use the expression �ds
� where d
represents distance and s representsspeed. Find the time if the bicyclisttravels at a speed of 16 miles per hour.
3. PERIMETER The perimeter of arectangle can befound using theformula 2� � 2w,where � represents the length and wrepresents the width. Find theperimeter if � � 6 units and w � 3units.
w
� 4. PERIMETER Another formula forperimeter is 2(� � w). Find theperimeter of the rectangle in Exercise 3using this formula. How do the answerscompare? Explain how you used orderof operations using this formula.
5. SHOPPING Write an expression using avariable that shows how much 3 pairsof jeans will cost if you do not know theprice of the jeans. Assume each paircosts the same amount.
6. SHOPPING Write an expression usingvariables to show how much 3 plain T-shirts and 2 printed T-shirts will cost,assuming that the prices of plain andprinted T-shirts are not the same.
1. DRAGONS The Luck Dragons that livein the Enchanted Forest weigh 4xpounds when they are x years old.Write a function table that can be usedto find the weights of 6-year old, 8-yearold, and 10-year old Luck Dragons.
2. ROLLER COASTER Twelve people areable to ride the Serpent of Fire rollercoaster at one time. Write a functiontable that shows the total number ofpeople that have been on the rollercoaster after 1, 2, 3, and 4 rides.
3. MOVIES At the local movie theater itcosts $10.00 for 2 students to see amovie. It costs $15.00 for 3 students,and it costs $20.00 for 4 students. Letthe number of students be the input.What is the function rule that relatesthe number of students to the cost oftickets?
4. HOMEWORK At Elmwood MiddleSchool, sixth graders spend 1 hourevery night doing homework. Seventhgraders spend 2 hours, and eighthgraders spend 3 hours. Let thestudents’ grade be the input. What isthe function rule between the students’grade and the amount of time thestudents spend on homework everynight?
5. BEADS A bead shop sells wooden beadsfor $3 each and glass beads for $7 each.Write a function rule to represent thetotal selling price of wooden (w) andglass (g) beads.
6. Use the function rule in Exercise 5 tofind the selling price of 20 woodenbeads and 4 glass beads.
2. ELEVATION The table shows the highestpoint of elevation for 5 different states.How much higher is the highest point ofelevation in Colorado than Texas?
StateArizona
Colorado
Georgia
North Carolina
Texas
Highest Point ofElevation (feet)
12,633
14,433
4,784
6,684
8,749
1. AGES The sum of Cooper’s, Dante’s, andMaria’s ages is 31. Dante is twice as oldas Cooper. Maria is one year older thanDante. How old are Cooper, Dante, andMaria?
3. FOOTBALL The junior varsity footballteam scored 23 points in last Saturday’sgame. They scored a combination of 7-point touchdowns and 3-point field goals.How many touchdowns and how manyfield goals did they score?
4. MONEY Willow purchased a new car. Herloan, including interest, is $12,720. Howmuch are her monthly payments if shehas 60 monthly payments to make?
5. PATTERNS Draw the next figure in thepattern.
6. FUNDRAISER The school band is having acar wash to raise money. Their goal is tocollect $150. So far they have earned $10each from three families and $5 eachfrom 15 families. How much more moneydo they have to earn to reach their goal?
INSECTS For Exercises 1–3, use the table that gives the average lengthsof several unusual insects in centimeters.
Insect Length (cm) Insect Length (cm)
Walking stick 15 Giant water bug 6
Goliath beetle 15 Katydid 5
Giant weta 10 Silkworm moth 4
Harlequin beetle 7 Flower mantis 3
1. The equation 15 � x � 12 gives thedifference in length between a walkingstick and one other insect. If x is theother insect, which insect is it?
2. The equation 7 � y � 13 gives thelength of a Harlequin beetle and oneother insect. If y is the other insect,which insect makes the equation a truesentence?
3. Bradley found a silkworm moth thatwas 2 centimeters longer than average.The equation m � 4 � 2 represents thissituation. Find the length of thesilkworm moth that Bradley found.
4. BUTTERFLIES A Monarch butterfly fliesabout 80 miles per day. So far it hasflown 60 miles. In the equation 80 � m � 60, m represents the numberof miles it has yet to fly that day. Findthe solution to the equation.
5. CICADAS The nymphs of some cicadacan live among tree roots for 17 yearsbefore they develop into adults. Onenymph developed into an adult afteronly 13 years. The equation 17 � x �
13 describes the number of years lessthan 17 that it lived as a nymph. Findthe value of x in the equation to tellhow many years less than 17 years itlived as a nymph.
6. BEETLES A harlequin beetle lays eggs intrees. She can lay up to 20 eggs over 2or 3 days. After the first day, the beetlehas laid 9 eggs. If she lays 20 eggs inall, how many eggs will she lay duringthe second and third days?
2. BASEBALL The table shows the nationalleague home run leaders in the2002–2006 seasons. How many morehome runs did Ryan Howard hit in 2006than Jim Thome in 2003?
Year2002
2003
2004
2005
2006
Home RunLeader
Sammy Sosa
Jim Thome
Adrian Beltre
Andruw Jones
Ryan Howard
1. SPORTS The table shows the result ofShante’s survey of her classmates’favorite sports. How many morestudents chose softball/baseball thanfootball?
Word Problem PracticeProblem-Solving Investigation: Make a Table
B � basketball F � football S � soccer
SB � softball/baseball V � volleyball
Favorite SportsB
F
B
V
SB
SB
V
B
V
S
S
SB
B
V
SB
SB
F
S
SB
B
V
3. MONEY Trista has 8 coins in her pocketthat total $1.55. She only has quartersand dimes. How many of each coin doesTrista have?
4. ORDER OF OPERATIONS Use each of thesymbols �, �, �, and ÷ to make thefollowing math sentence true.
12 3 7 1 11 � 0
5. GEOMETRY Find the difference in thearea of the rectangle and the area of thesquare.
6. BICYCLES Kenji is saving money to buy anew bicycle that costs $125. So far hehas saved his weekly allowance of $5 forthe past 8 weeks. He also saved $35from his birthday money. How muchmore money does Kenji need tosave?
TREES For Exercises 1, 3, and 4, use Table A. For Exercises 2, 5, and 6, use Table B.
Table A Table B
Average Heights of Pine Trees
Tree Height (ft)
Eastern White LodgepoleLongleafPitchPonderosa
7548
11055
140
Lemons Produced by My Tree
Year Number of Lemons
20042005200620072008
261241227855
1. You and Jorge are writing a report ondifferent kinds of pine trees. Make abar graph for the report that shows theaverage heights of different kinds ofpine trees. Use the data from Table A.
2. Table B shows the number of lemonsyour tree produced each year. Make aline graph for the data in Table B.
3. Use your graph for Exercise 1. Whichtree is about half as tall as aponderosa?
4. How does the average height of a pitchpine compare to the average height of alodgepole pine?
5. Use the line graph you made inExercise 2. Describe the change in fruitproduction for your lemon tree.
6. FRUIT Suppose you want to make agraph of the total number of lemonsproduced by your lemon tree and thetotal number of oranges produced byyour orange tree in one year. Would youmake a bar graph or a line graph?Explain.
TRAFFIC For Exercises 1 and 2, use the table. For Exercises 3 and 4, usethe stem-and-leaf plot.
Number of Birds at a Watering Hole Each Hour
3|4 � 34 birds
1. Mr. Chin did a traffic survey. He wrotedown the number of trucks that passedthrough an intersection each hour.Make a stem-and-leaf plot of his data.
2. Refer to your stem-and-leaf plot fromExercise 1. Mr. Chin needs to know therange of trucks passing through theintersection in one hour into which thegreatest number of trucks fall.
3. What is the least number of birds atthe watering hole in one hour? What isthe greatest number?
4. What is the most frequent number ofbirds to be at the watering hole in onehour?
5. RVs Make a stem-and-leaf plot for thenumber of RVs Mr. Chin counted in 12hours: 3, 4, 9, 13, 7, 9, 8, 5, 4, 6, 1, 11.
6. RVs Write a few sentences that analyzethe RV data for Mr. Chin’s report inExercise 5.
Stem Leaf
12345
8 94 8 93 4 4 42 5 5 5 5 7 80 0 3 3 4 6 6 7
Number of Trucks Passing Throughthe Intersection Each Hour
2. What speed is most common that isrepresented in the line plot?
1. How many animals represented in theline plot have a maximum speed of 45miles per hour?
3. What is the difference between thegreatest speed and least speedrepresented in the line plot?
4. Write one or two sentences that analyzethe data.
5. LAWN SERVICE Make a line plot for theamount of money Kyle earned thissummer with each lawn service job: $20,$25, $30, $15, $22, $25, $25, $30, $18,$15, $25, $20.
6. MAGAZINES Make a line plot for theselling price of several popularmagazines: $3, $4, $5, $4, $3, $2, $4, $5,$3, $7, $9, $3, $4, $5.
ANIMALS For Exercises 1–3, use the table about bears.
1. You are writing a report on bears. Youare analyzing the data on heights andweights in the table above. First lookfor outliers. Identify the outlier for theheight data. Identify the outlier for theweight data.
2. Find the mean of the bear weight datawith and without the outlier.
3. Describe how the outlier affects themean of the bear weight data.
4. WORK Carlos earned $23, $29, $25,$16, and $17 working at an ice creamshop after school. What is the meanamount he earned?
5. CARS The cost of a tank of gas at ninedifferent gas stations is shown below.What was the mean cost of a tank ofgas?
Cost of Gas: $17, $18, $22, $15, $17,$16, $25, $21, and $20
6. SCHOOL Sally received scores on mathquizzes as shown below. Find her meanscore with and without both outliers.
SCIENCE For Exercises 1–3, use Table A. For Exercises 4–6, use Table B.Table A shows the number of days it took for some seeds to germinateafter planting. Table B shows how tall the plants were after 60 days.
Table A Table B
1. Refer to Table A. You are doing someexperiments with germinating seeds.You are preparing a report on yourfindings to a seed company. What arethe mean, median, and mode of thedata?
2. Use your answer from Exercise 1.Which measure of central tendencybest describes the data? Explain.
3. What is the range of the seedgermination data? Describe how thedata vary.
4. What are the mean, median, and modeof the plant height data?
5. Refer to your answer in Exercise 4.Which measure of central tendencybest describes the data? Explain.
6. What is the range of the plant heightdata? Describe how the data vary.
1. MONEY Katryn owes her father $25.Write this number as an integer.
2. GEOGRAPHY Mt. Whitney in Californiais 14,494 feet above sea level. Writethis number as an integer.
3. GEOGRAPHY Badwater in Death Valleyis 282 feet below sea level. Write thisnumber as an integer.
4. SCHOOL Dick forgot to put his name onhis homework. His teacher deducts 5points for papers turned in withoutnames on them. So, Dick lost 5 pointsfrom his score. Write this number as aninteger.
5. GEOGRAPHY Multnomah Falls inOregon drops 620 feet from the top tothe bottom. Suppose a log is carried bythe water from the top to the bottom ofthe falls. Write the integer to describethe location of the log now.
6. TRAVEL The train left the station andtraveled ahead on the tracks for 30miles. Write an integer to describe thenew location of the train from thestation.
7. WEATHER The table shows the averagenormal January temperature of threecities in Alaska. Graph thetemperatures on a number line.
8. GAMES The table below shows thenumber of points Chantal scored oneach hand of a card game. Make a lineplot of the data.
The table shows the number of people in the United States per square mile.
EVERGLADES For Exercises 3–7, use the following information.The Everglades National Park gets an average of 59.10 inches of rainfall ayear. It had 1.181351 million visitors in 2004, and its budget for 2003 was$13.958 million.
1. WAREHOUSE A warehouse has threeshelves that can hold 8, 12, or 16skateboards. Each shelf has sectionsholding the same number ofskateboards. What is the greatestnumber of skateboards that can be putin a section? Explain.
2. FRUIT Mei has 15 oranges, 9 peaches,and 18 pears. She wants to put all ofthe fruit into decorative baskets. Eachbasket must have the same number ofpieces of fruit in it. Without mixingfruits, what is the greatest number ofpieces of fruit Mei can put in eachbasket? Explain.
3. SHIPPING Oscar needs to ship 14 rockCDs, 12 classical CDs, and 8 pop CDs.He can pack only one type of CD ineach box, and he must pack the samenumber of CDs in each box. What is thegreatest number of CDs Oscar can packin each box? Explain.
4. GARDENING Jill wants to put 45 sunflower plants, 81 corn plants,and 63 tomato plants in her garden. Ifshe puts the same number of plants ineach row and if each row has only onetype of plant, what is the greatestnumber of plants Jill can put in onerow? Explain.
5. MONEY The list shows theamounts ofmoney the clubleader collected from members for acamping trip. Each member paid thesame amount. What is the most thecamping trip could cost per member?Explain.
Wednesday $36Thursday $54Friday $72
6. MONEY Use the information fromExercise 5. How many members havepaid to go on the camping trip if theprice is the greatest possible price permember?
For Exercises 1–3, use the following information and the table at the right. Write your answers insimplest form.
In a frequency table, the relative frequency of a category is the fraction of the data that falls in that class.
To find relative frequency, divide the frequency by the total number of items.
Eye Color Survey
Brown 552 12
Blue 5 5
Green 4 4
Hazel 53 8
Violet 1 1
Color Tally Frequency
1. STATISTICS What is the relativefrequency of people with brown eyes?
2. STATISTICS What is the relativefrequency of people with hazel eyes?
3. STATISTICS What is the relativefrequency of people with brown or hazeleyes?
4. ANIMALS Lions sleep about 20 hours a
day. Write �2204�
as a fraction in simplest
form.
5. MARBLES Carlota has 63 marbles.Twenty-eight of her marbles are aggies.What fraction of Carlota’s marbles areaggies? Write the answer in simplestform.
6. MOVIES Fourteen of the top thirty all-time grossing children’s films were
2. ICE CREAM Meagan is taking the kids sheis babysitting to the local ice creamparlor. If she has $7, does she haveenough money for two ice creamsandwiches, one sundae, and one scoop ofice cream?
1. GEOMETRY Find the difference in theareas of the square and rectangle.
3. FUNDRAISER The school band is sellingcookie dough for a fundraiser. A tub ofcookie dough sells for $12, a pack of drycookie mix sells for $5, and drop cookiedough sells for $15 a pack. If the schoolband sells 24 tubs, 15 dry mixes, and 30packs of drop cookie dough, how muchmoney will they collect?
4. SHOPPING At a sports store, Curtisbought some baseball card packs andsome T-shirts. The baseball card packscost $3 each and the T-shirts cost $8each. If Curtis spent $30, how manybaseball card packs and how many T-shirts did he buy?
5. LANGUAGE ARTS On Monday, 86 sciencefiction books were sold at a book sale.This is 8 more than twice the amountsold on Thursday. How many sciencefiction books were sold onThursday?
6. PATTERNS What number is missing in thepattern . . . , 234, 345, , 567, . . . ??
1. FORESTRY Omar is planting trees. Hehas enough trees to plant 6, 7, or 14trees in each row. What is the leastnumber of trees Omar could have?
2. BUSES The Line A bus arrives at thebus stop every 25 minutes, and theLine B bus arrives every 15 minutes.They are both at the bus stop rightnow. In how many minutes will theyboth be at the bus stop again?
3. MARCHING BAND The high schoolmarching band rehearses with either 6 or 10 members in every line. What isthe least number of people that can bein the marching band?
4. TIME In a clock, a large gear completesa rotation every 45 seconds, and asmall gear completes a rotation every18 seconds. How many seconds passbefore the gears align again?
5. ROSES Dante is planting his rosegarden. He knows he can plant all ofhis roses by planting 12 or 15 rosebushes in every row. What is the leastnumber of rose bushes Dante couldhave?
6. FAMILY Every 7 years the Lancasterfamily has a family reunion. Every 6years they update their family tree. Ifthey both had a photo taken andupdated their family tree in 1997, inwhat year will both events occur again?
MAPS For Exercises 1–3, use the drawing at the right that shows distances between major sites onthe Avenue of the Americas inNew York City. Em
pire S
tate B
uildin
g
Radio
City M
usic
Hall
Museu
m of M
odern
Art
Centra
l Park
South
1620 mi 3
20 mi 620 mi
Avenue of the Americas, New York City
{ { {
1. Carla walked from the Empire StateBuilding to the Museum of Modern Art.How far did she walk?
2. Julie walked from Central Park Southto the Museum of Modern Art. Jolenewalked from Radio City Music Hall tothe Museum. How much farther didJulie walk than Jolene?
3. Darnell walked from Central ParkSouth to the Empire State Building.How far did he walk?
4. COOKING Tiffany made a glass ofpunch from fruit juice concentrate. She
used �14� cup concentrate and �
34� cup
water. How much more water thanconcentrate did Tiffany use?
5. ART Beng is creating a painting. He
has �58� of a tube of red paint and �
38� of a
tube of green paint. How much morered paint does he have than greenpaint?
6. CONSTRUCTION Mr. Hayashi is
repairing his sidewalk. He mixed �59�
pound of cement with sand and waterto make concrete. The next day he
mixed �79� pound of cement with sand
and water. How many pounds of cementaltogether did Mr. Hayashi use?
Estimate by using rounding or compatible numbers. Show how you found yourestimates.
FOOD For Exercises 1–3, use the table.The table lists the grams of saturated fat per tablespoon of some common fats.
1. Jenny is making muffins. The recipecalls for 4 tablespoons of oil. If she usessafflower oil, about how many grams ofsaturated fat would she be adding tothe muffin batter?
2. Curtis spread 2 tablespoons of butteron his slice of bread. About how manygrams of saturated fat did Curtis addto the slice of bread?
3. Rubin is fond of bagels and cream
cheese. He spread 5�23� tablespoons of
cream cheese on his bagel and ate thebagel. About how many grams ofsaturated fat did Rubin eat by eatingthe cream cheese?
4. WATER Marcia is making a habit ofdrinking at least 7 cups of water a day.About how many cups of water did she
drink if she drank �34� the number of
cups she wanted to drink?
5. TRAVEL Seth has been driving for
4�34� hours at 62 miles per hour. About
how many miles has he driven?
6. MAIL The U.S. Postal Service deliversabout 199 billion pieces of mail each
year. Of this mail, �45� is sent by big
commercial users. About how manypieces of mail are sent by bigcommercial users each year?
1. TOYS The Titanic Toy Company has a4% return rate on its products. Writethis percent as a fraction in simplestform.
2. MUSIC There are 4 trombones out of 25instruments in the Landers town band.What percent of the instruments aretrombones?
3. SHOPPING Alicia’s favorite clothingstore is having a 30% off sale. Whatfraction represents the 30% off sale?
4. FOOD At Ben’s Burger Palace, 45% ofthe customers order large soft drinks.What fraction of the customers orderlarge soft drinks?
5. BASKETBALL In a recent NBA season,Shaquille O’Neal of the Los AngelesLakers made 60% of his field goals.What fraction of his field goals didShaquille make?
6. SCHOOL In Janie’s class, 7 out of 25 students have blue eyes. Whatpercent of the class has blue eyes?
7. TESTS Michael answered �1270�
questions
correctly on his test. What percent ofthe questions did Michael answercorrectly?
8. RESTAURANTS On Saturday afternoon,
�4510�
telephone calls taken at The
Overlook restaurant were for dinnerreservations. What percent of thetelephone calls were for dinnerreservations?
SPORTS For Exercises 1–3, use Graph A. For Exercises 4–6, use Graph B.
Graph A Graph BAttendance at the Baseball Game
Age 61and older5%
Age 31-4521%
Age 0-1525%
Age 16-3035%
Age 46-6014%
Favorite Sports of
Mr. Franco's Class
Baseball49%
Hockey10%
Basketball20%
Football21%
1. Kwan surveyed Mr. Franco’s class tofind out the favorite sports of the class.Which sport was the favorite of thelargest percent of students in the class?Which sport was the favorite of thesmallest percent of students?
2. Which sports were the favorite of aboutthe same number of students?
3. Which sport is the favorite of half asmany students as basketball?
4. Mr. Jackson kept track of attendance atthe baseball game for an advertisingagency. The agency wants to target itsadvertising to the age group that hasthe highest percent in attendance. Towhich group should the agency targetads?
5. Which two age groups have about thesame percent of people?
6. Mr. Jackson’s daughter is in the agegroup with the second highest percent.In which age group is Mr. Jackson’sdaughter?
1. COMMUTING According to the U.S.census, 76% of U.S. workers commuteto work by driving alone. Write 76% asa decimal.
2. BASEBALL A player’s batting averagewas 0.29 rounded to the nearesthundredth. Write 0.29 as a percent.
3. ELECTIONS In a recent U.S. midtermelections, 39% of eligible adults voted.What is 39% written as a decimal?
4. BASKETBALL In a recent season, JasonKidd of the New Jersey Nets had afield goal average of 0.40 rounded tothe nearest hundredth. What is 0.40written as a percent?
5. SPORTS When asked to choose theirfavorite sport, 27% of U.S. adults whofollow sports selected professionalfootball. What decimal is equivalent to27%?
6. AGE Lawrence is 18 years old and hisbrother Luther is 12 years old. Thismeans that Lawrence is 1.5 times olderthan Luther. What percent isequivalent to 1.5?
7. WATER About 5% of the surface area ofthe U.S. is water. What decimalrepresents the amount of the U.S.surface area taken up by water?
8. POPULATION China accounts for 0.21 ofthe world’s population. What percent ofthe world’s population lives in China?
Write each answer as a fraction, a decimal, and a percent.
PARTY For Exercises 1 and 2, the spinner shown is spun once.The spinner shows the prizes a person can win at a party.
7. FOOD Mrs. Phillips has 10 identical canswithout labels. She knows that she had 1 can of peas, 5 cans of corn, 1 can ofcarrots, and 3 cans of beets. She opens onecan. What is the probability it is carrots?corn or beets?
1. What is the probability that a person willspin a cap? a whistle? a cap or yo-yo?
3. WEATHER The weather report says there is an 85% chance it will be very hottomorrow. Should you get ready to use theair conditioner? Explain.
2. What is the probability that a personwill spin a stuffed animal? Explain.What is the probability that a personwill win a prize?
4. EATING HABITS 7% of Americans arevegetarians. If you ask a random personwhether he or she is a vegetarian,what is the probability that the personis not a vegetarian? Explain.
5. SCHOOL Theresa is taking a multiple-choice test and does not know an answer.She can guess answer A, B, C, D, or E.What is the probability that Theresa willguess correctly? incorrectly?
6. NUMBER CUBE You roll a number cube.How likely is it that you will roll anumber less than 1? less than 7?Explain.
8. In Exercise 7, how likely is it Mrs. Phillips will open a can of corn? a can of peas? Explain.
1. OUTINGS Olivia and Candace aredeciding between Italian or Chinesefood and then whether to go to amovie, walk in the park, or go for abike ride. Using the FundamentalCounting Principle, how many choicesdo they have?
2. PETS Terence is going to get a parrot. Hecan choose among a yellow, green, ormulti-colored female or male parrot.Draw a tree diagram showing all theways Terence can choose. What is theprobability he will choose a yellowfemale?
3. CAKE Julia is ordering a birthdaycake. She can have a circular orrectangular chocolate or vanilla cakewith chocolate, vanilla, or maplefrosting. Draw a tree diagram showingall the possible ways Julia can orderher cake. How many options does shehave?
4. GAMES Todd plays a game in which youtoss a coin and roll a number cube. Usethe Fundamental Counting Principle todetermine the number of possibleoutcomes. What is P(heads, odd number)?
5. SCHOOL Melissa can choose twoclasses. Her choices are wood shop,painting, chorus, and auto shop. Listall the ways two classes can bechosen.
6. SHOPPING Kaya has enough allowance topurchase two new baseball caps from thefive he likes. How many ways can hechoose?
MOVIES For Exercises 1–3, use SLEEP For Exercises 4–7, use the table the table of results of Jeremy’s of results of the Better Sleep Council’ssurvey of favorite kinds of survey of Americans to find the mostmovies. important factors for good sleep.
1. MOVIES How many people did Jeremyuse for his sample?
2. If Jeremy were to ask any person toname his or her favorite type of movie,what is the probability that it would becomedy?
3. If Jeremy were to survey 250 people,how many would you predict wouldname comedy?
4. SLEEP Predict how many people out of400 would say that a good mattress isthe most important factor.
5. What is the probability that any personchosen at random would not say that ahealthy diet is the most importantfactor?
6. Suppose 250 people were chosen atrandom. Predict the number of peoplethat would say good pillows are themost important factor.
7. What is the probability that any personchosen at random would say that dailyexercise is the most important factorfor a good night sleep?
8. ICE CREAM Claudia went to an icecream shop to conduct a survey. Sheasked every tenth person who enteredthe shop to name his or her favoritedessert. Did Claudia select a goodsample? Explain.
1. FOOD Is $8 enough money to buy adozen eggs for $1.29, one pound ofground beef for $3.99, and a gallon ofmilk for $2.09? Explain.
3. MONEY A total of 32 students are goingon a field trip. Each student must pay$4.75 for travel and $5.50 for dining.About how much money should theteacher collect in all from thestudents?
5. BAKE SALE Oakdale Middle Schoolreceived 240 contributions for its bakesale. If 30% of the contributions werepies, how many pies did the schoolreceive?
2. SURVEY The circle graph shows theresults of a favorite juice survey. Whatpercents best describe the data?
4. TRAVEL Mr. Ishikawa left Houston at3:00 P.M. and arrived in Dallas at 8:00 P.M., driving a distance ofapproximately 240 miles. During histrip, he took a one-hour dinner break.What was Mr. Ishikawa’s averagespeed?
6. BABYSITTING About how much more didCara earn babysitting in 2008 than in 2007?
Word Problem PracticeProblem-Solving Investigation: Solve a Simpler Problem
1. SCHOOL At Westside High School, 24%of the 215 sixth grade students walk toschool. About how many of the sixthgrade students walk to school?
2. BASKETBALL In a recent regular seasonthe WNBA Houston Comets won54.76% of their games. They had 42games in their regular season. Abouthow many games did they win?
3. SALES TAX The sales tax rate in Laconis 9%. About how much tax would youpay on an item that costs $61?
4. SPORTS The concession stand at afootball game served 178 customers.Of those, about 52% bought a hot dog.About how many customers bought ahot dog?
5. SLEEP A recent study shows that peoplespend about 31% of their time asleep.About how much time will a personspend asleep during an average 78 yearlifetime?
6. BIOLOGY The human body is 72%water, on average. About how muchwater will be in a person that weighs138 pounds?
7. MONEY A video game that originallycosts $25.99 is on sale for 50% off. Ifyou have $14, would you have enoughmoney to buy the video game?
8. SHOPPING A store is having a 20% sale.That means the customer pays 80% ofthe regular price. If you have $33, willyou have enough money to buy an itemthat regularly sells for $44.99? Explain.
SHOPPING For Exercises 1–3, use the circle graph that shows preferredshopping days of United Statesshoppers.
Preferred Shopping Days for United States Shoppers4% Monday
5% Tuesday
12%Wednesday
13%Thursday
17%Friday
29%Saturday
7%Sunday
13% nopreference
Word Problem PracticeMeasuring Angles
1. Find the approximate measure of eachangle formed by the sections of thecircle graph.
2. Find the sum of the measures of theangles of the circle graph.
3. If the shoppers with no preferencecould be persuaded to shop onWednesdays, what would be the newangle measure of the Wednesdaysection of the graph?
4. CARPENTRY Jorge is building astandard bookshelf. For the books to sitsquarely on the shelves, will he beusing obtuse, right, or acute angleswhen placing the shelves in thebookcase?
5. TILING Fatima is tiling her bathroomfloor. She cut a square tile along one ofthe diagonals, dividing a right angle inhalf. What is the angle measure createdby the diagonal and a side of the tile?
6. PIZZA Cody has half a pizza to sharewith two of his friends. What anglemeasure should Cody use to cut half ofthe pizza into three equal pieces?
TILING For Exercises 1–6, use the following information. Amy is using the design at the right to tile a hexagon-shaped floor. Before deciding which colors to use, she wants to identify all similar and congruent shapes.
1. GEOGRAPHY The state of Colorado isnearly rectangular. It is about 589kilometers by 456 kilometers. What isthe approximate perimeter of Colorado?
2. FRAMING How many inches of mattingare needed to frame an 8 inch by 11 inch print?
3. GARDENING Jessica wants to put afence around her 10.8 foot by 13 footrectangular garden. How many feet offencing will she need?
4. SEWING Amy is making pillows todecorate her bed. She is going to makethree square pillows that are each 2 feet by 2 feet. She wants to use thesame trim around each pillow. Howmany feet of trim will she need for allthree pillows?
5. JOGGING Before soccer practice, Jovanwarms up by jogging around a soccerfield that is 100 yards by 130 yards.How many yards does he jog if he goesaround the field four times?
6. POSTER Ted is making a stop signposter for a talk on safety to a firstgrade class. He will put a strip of blackpaper around the perimeter of the stopsign. Each of the stop sign’s eight sidesis 16 inches. How long a strip of paperwill he need?
7. FLAG Jo is making a triangular banner.Each of the three sides is 14�
23
� incheslong. If she puts a braided trim aroundthe banner, how much trim will sheneed?
8. PYRAMIDS The Great Pyramid at Giza,Egypt, has a square base, with eachside measuring 250 yards. If you couldwalk once all the way around thepyramid at its base, how far could youwalk? Explain.
AUDIO MEDIA For Exercises 1–3, use the table that shows the sizes of three mainaudio media: vinyl, CD, and mini-disc.
Diameters of Audio Media
Diameter (inches)Medium
Vinyl Disc 12
Compact Disc (CD) 5
Mini Compact Disc (Mini-disc) 2.5
1. Estimate the circumference of a CD. 2. When a record player needle is placedon the outside edge of a vinyl disc, findhow far the needle travels in onerotation. Use 3.14 for �. Round to thenearest tenth.
3. What is the difference between thecircumference of a vinyl disc and amini-disc? Use 3.14 for �. Round to thenearest tenth.
4. CROP CIRCLES On June 8, 1992, a cropcircle with an 18-meter radius wasfound in a wheat field nearSzekesfehervar, 43 miles southwest ofBudapest. Estimate its circumference.
5. SEQUOIAS The largest living thing inthe world is the General Shermansequoia in Sequoia National Park,California. It is 272 feet high, has adiameter of 36.5 feet, and has anestimated weight of 2,150 tons. Findthe sequoia’s circumference to thenearest tenth of a foot. Use 3.14 for �.
6. MONSTER TRUCKS A monster truck fleetuses 23 degree tires 66 inches tall,43 inches wide, mounted on 25-inchdiameter wheels. What is thecircumference of a monster truck wheelto the nearest tenth of an inch? Use3.14 for �.
5. QUILTING The pattern shows thedimensions of a quilting square thatSydney will use to make a quilt. Howmuch blue fabric will she need? Explainhow you found your answer.
8 in.
12 in.
3 in.
red
green
bluepink
red
6 in.
1. SUNFLOWERS Norman is a sunflowerfarmer. His farm is in the shape of aparallelogram with a height measuring3.5 kilometers and a base measuring 4.25 kilometers. What is the total landarea Norman uses?
2. VOLLEYBALL Ella and Veronica are incharge of making a banner for thevolleyball game this Saturday. Howmuch poster paper will they need for aparallelogram-shaped banner with
height 3�12
� feet and base 6�14
� feet?
4. FLAGS Use the flag from Exercise 3.How many square inches will Josephcover with black paint?
6. QUILTING Use the quilting pattern fromExercise 5. How much pink fabric willSydney need?
3. FLAGS Joseph is painting the flag ofBrunei (a country in Southeast Asia)for a geography project at school. Howmany square inches will he cover withwhite paint?
1. CARPETING Courtney wants to carpetpart of her bedroom that is shaped likea right triangle with base 4.8 metersand height 5.2 meters. How muchcarpet will she need?
2. LAWN Mrs. Giuntini’s lawn is triangle-shaped with a base of 25 feet and aheight of 10 feet. What is the area ofMrs. Giuntini’s lawn? Explain how youfound your answer.
3. BUILDING Norma has an A-frame cabin.The back is shown below. How manysquare feet of paint will she need tocover the back of the cabin?
15 ft
25 ft12
4. SNACKS The dough that will be used tomake a pig in a blanket is shown below.Before it is rolled around a sausage, itis brushed with vegetable oil. What isthe area that needs to be covered withoil? Explain how you found youranswer.
14 cm
6 cm
5. SAILING Daniel just bought a usedsailboat with two sails that needreplacing. How much sail fabric willDaniel need if he replaces sail A?
12 ft
18 ft
9 ft
A B
6. SAILING Use the picture from Exercise 5. How much sail fabric willDaniel need if he replaces sail B?
1. VIDEO GAMES The table shows theprices of 4 different video games. IfJaleesa got $50 for her birthday andshe wants to buy 2 video games withthe money, what are two possible gamesshe can buy?
3. SHOPPING How many hats can bepurchased with $90 if the hats can onlybe bought in pairs?
5. MONEY Brady collected $2 from eachstudent to buy a gift for their teacher. If27 people contributed, how muchmoney was collected?
2. ROLLER COASTERS The list below showshow many roller coaster rides 20 kidsrode at an amusement park.
Make a frequency table to find howmany more kids rode roller coasters 5to 9 times than 10 to 14 times.
5
0
10
6
0
3
12
11
8
5
7
9
2
13
6
8
4
14
1
3
4. MONEY Lorenzo bought a CD player for$9 less than the regular price. If hepaid $32, what was the regularprice?
6. GAMES Sara tosses a beanbag onto analphabet board. It is equally likely thatthe bag will land on any letter. Find theprobability that the beanbag will landon one of the letters in her name.
Word Problem PracticeProblem-Solving Investigation: Make a Model
1. OLYMPICS Olympic gold medal winnerIan Thorp competes in a pool withrequired dimensions 25 meters by 50 meters by 2 meters. What is thevolume of the Olympic-sized pool?Explain how you found your answer.
2. DUMP TRUCKS Raphael drives astandard-sized dump truck. Thedimensions of the bed of the truck arelength 15 feet, width 8 feet, and height6 feet. What is the volume of the bed ofthe dump truck?
3. GIFTS William has some antiquebottles. He is going to fill the bottleswith bath soap and give them away asgifts. Use the figure to find the volumeup to the fill line of a bottle.
6 in.
3 in.4 in.
Fill Line
4. JEWELRY Janine keeps her jewelry in ajewelry box like the figure below. Findthe volume of Janine’s jewelry box.
5 in.3 in.5
8
9 in.1 4
5. RECYCLING The town of Riverviewprovides a rectangular recycling bin fornewspapers to each household. What isthe greatest volume of newspapers therecycling bin can hold?
16 in.
12 in.
20 in.
NEWSPAPER
6. CANDLE MAKING Kyle will fill thecandle mold with liquid candle wax.Find the amount of liquid wax that willbe contained in the mold. Explain howyou found your answer.
1. GIFTS Fatima is wrapping a gift box forher nephew’s birthday. The box’sdimensions are 16 inches long by 10 inches wide by 5 inches high. Whatis the surface area of the box?
2. FOOD Antoine is wrapping a block ofcheese that is 22 centimeters long by 6 centimeters high by 10 centimeterswide with plastic wrap. What is thesurface area of the cheese block?
3. PAINTING Kyle is painting the frontdoor of his house. The dimensions ofthe door are 80 inches by 36 inches by2 inches. If he paints all of the surfaces,how much area will he paint? Explain.
4. CARPENTRY Bryan is sanding a set ofspeaker boxes that he built for hisroom. What is the surface area of eachbox?
4.6 ft
2.2 ft1.1 ft
5. CARPENTRY Cindy is putting oak veneer(thin wood covering) on the entiresurface of her hope chest. How muchveneer will she need?
5 ft1 4
2 ft1 4
3 ft1 2
6. TOY MAKING Trey is covering blocks ofwood with wallpaper to make buildingblocks for his baby sister. If he coversall the surfaces, how much wallpaperwill he need? Think of a short way tosolve this problem and explain.
MONEY For Exercises 1–4, use the transaction register.
A transaction register is used to record money deposits and withdrawals froma checking account. It shows how much money Mandy, a college student, hadin her account as well as the 4 checks she has written so far.
Check No. Date Description of Transaction Payment Deposit Balance
MONEY For Exercises 1–4, use the table and the coordinate plane.
School buttons sell for $2 each. When you have completed the table and thegraph, both the table and graph will show the costs of purchasing up to 5school buttons.
y-axis
x-axisO
1
1 2 3 4 5 6 7 8 9 10
23456789
10
origin
Number ofButtons Sold Price ($)
1
2
3
4
5
1. Now complete the second column of thetable by writing the cost of eachnumber of buttons.
2. To prepare to graph the data, make alist of ordered pairs from the table.
3. Graph the ordered pairs. Label eachpoint with its ordered pair. Describe thegraph of the points.
4. Describe the coordinate plane that youhave completed. How is it differentfrom other systems you have used?
5. TRACK If it takes Trixie 8 minutes torun a mile, then 8m represents hertotal time where m is the number ofmiles she has run. List the orderedpairs (number of miles, total time) for0, 1, 2, and 3 miles.
6. TRACK If you were to graph the orderedpairs from Exercise 5, what would theirgraph look like?