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Word Problem Practice Workbook

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Copyright by The McGraw-Hill Companies, Inc. All rights reserved.Except as permitted under the United States Copyright Act, no part of thispublication may be reproduced or distributed in any form or by any means, orstored in a database or retrieval system, without prior written permission of thepublisher.

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

Numbers..............................................385-2 Problem-Solving Investigation:

Act It Out .............................................395-3 Adding and Subtracting Fractions

with Like Denominators.......................405-4 Adding and Subtracting Fractions with

Unlike Denominators...........................41

Lesson/Title Page5-5 Adding and Subtracting Mixed

Numbers .............................................425-6 Estimating Products of Fractions ........435-7 Multiplying Fractions............................445-8 Multiplying Mixed Numbers ................455-9 Dividing Fractions................................465-10 Dividing Mixed Numbers .....................476-1 Ratios and Rates ................................486-2 Ratio Tables.........................................496-3 Proportions..........................................506-4 Algebra: Solving Proportions...............516-5 Problem-Solving Investigation:

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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Lesson/Title Page11-3 Subtracting Integers ............................8711-4 Multiplying Integers .............................8811-5 Problem-Solving investigation: Work

backward .............................................8911-6 Dividing Integers .................................9011-7 The Coordinate Plane .........................9111-8 Translations .........................................9211-9 Reflections ..........................................9311-10 Rotations .............................................9412-1 The Distributive Property ....................9512-2 Simplifying Algebraic Expressions ......9612-3 Solving Addition Equations .................9712-4 Solving Subtraction Equations ............9812-5 Solving Multiplication Equations .........9912-6 Problem-Solving Investigation:

Choose the Best Method of Computation......................................100

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Chapter 1 1 Course 1

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Use the four-step plan to solve each problem.

GEOGRAPHY For Exercises 1 and 2, use the poster information about Crater Lake National Park in Oregon.

Visit Crater Lake National Park

90 miles of trails26 miles of shorelineBoat tours available

Open 24 hours

Directions from Klamath Falls: Take U.S. Highway 97 north 21 miles,

then go west on S.R. 62 for 29 miles.

Word Problem PracticeA Plan for Problem Solving

1. How many more miles of trails arethere than miles of shoreline in CraterLake National Park?

2. How many miles is it from KlamathFalls to Crater Lake National Park?

3. SPORTS Jasmine swims 12 laps everyafternoon, Monday through Friday.How many laps does she swim in oneweek?

4. SPORTS Samantha can run one mile in8 minutes. At this rate, how long will ittake for her to run 5 miles?

5. SPORTS On a certain day, 525 peoplesigned up to play softball. If 15 playersare assigned to each team, how manyteams can be formed?

6. PATTERNS Complete the pattern: 5, 7,10, 14, ___, ___, ___

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.?

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NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticePrime Factors


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ANIMALS For Exercises 13, 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.

CARIBOUHeight at the Shoulder Weight

inches centimeters pounds kilograms

Cows (females) 43 107 220 99

Bulls (males) 50 125 400 180


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Word Problem PracticePowers and Exponents


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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.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeOrder of Operations


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MONEY For Exercises 13, 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 twoneighbors 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), andConnors parents go to a movie onSaturday night. Write an expression forthe total cost. What is the total cost?

4. SOCCER Eduardo is 16. Eduardos 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.

Movie Theater Admission

Adults: $8Children (under 13): $5

Matinee (before 6 P.M.): $3


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Word Problem PracticeAlgebra: Variables and Expressions


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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.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAlgebra: Functions


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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 studentsgrade 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.


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Word Problem PracticeProblem-Solving Investigation: Guess and Check


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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 Coopers, Dantes, andMarias 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 Saturdaysgame. 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?


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAlgebra: Equations


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INSECTS For Exercises 13, 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?


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Word Problem PracticeAlgebra: Area Formulas


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FLOOR PLANS For Exercises 16, use the diagram that shows the floorplan for a house.

2 ft

6 ft

2 ft 10 ft9 ft

12 ft 18 ft

7 ft

13 ft

12 ft

13 ft

12 ftKitchen

Bedroom 1 Bedroom 2

Bath

Hall

Living/Dining Room

Closet

Closet

1. What is the area of the floor in thekitchen?

2. Find the area of the living/dining room.

3. What is the area of the bathroom? 4. Find the area of Bedroom 1.

5. Which two parts of the house have thesame area?

6. How much larger is Bedroom 2 thanBedroom 1?


NAME ________________________________________ DATE ______________ PERIOD _____


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2. BASEBALL The table shows the nationalleague home run leaders in the20022006 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 ofShantes survey of her classmatesfavorite 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?

Number ofHome Runs

49

47

48

51

58

9 m

3 m

5 m


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Word Problem PracticeBar Graphs and Line Graphs


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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.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeInterpret Line Graphs


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FITNESS For Exercises 13, use Graph A. For Exercises 46, use Graph B.

Graph A Graph B

1 2 3 4 5 6 7 8

30

20

10

40

50

60

70

80

Num

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f Sit-

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Week

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Caras Sit-ups

1 2 3 4 5 6

6

4

2

8

10

12

14

Num

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Week

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Aerobics Class

1. Refer to Graph A. Describe the changein the number of students taking theaerobics class.

2. Predict how many students will be inthe aerobics class in week 6 if the trendcontinues.

3. Predict how many students will be inthe aerobics class in week 8.

4. Describe the change in the number ofsit-ups Cara can do.

5. Predict how many sit-ups Cara will beable to do in week 6 if the trendcontinues.

6. Predict the week in which Cara will beable to do 80 sit-ups if the trendcontinues.


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Word Problem PracticeStem-and-Leaf Plots


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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. Chins 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

5 15 6 42 34 2819 18 19 22 23 2132 26 34 19 29 2110 6 8 40 14 17


ANIMALS For Exercises 14, use the line plot below about themaximum speed of several animals.

NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeLine Plots


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Maximum Speed of Animals (miles per hour)

30 35 40 45 50 55 60 65 70

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.


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Word Problem PracticeMean


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ANIMALS For Exercises 13, 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.

Quiz Scores: 84, 85, 91, 81, 52, 92, 99,91, and 45

Bear Average Height (ft) Average Weight (lb)

Alaskan BrownBlackGrizzlyPolar

8677

1,500338588850


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Word Problem PracticeMedian, Mode, and Range


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SCIENCE For Exercises 13, use Table A. For Exercises 46, 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.

Height (in.) of Plants After 60 Days

17 19 13 17 2015 17 21 14

Number of Days for Seeds to Germinate

15 20 30 15 169 21 21 15


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VIDEOS For Exercises 14, use the three graphs on DVD sales shown below.

NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeSelecting an Appropriate Display


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Stem Leaf

2 53 0 54 0 0 0 55 5

3|0 30 DVDs

Number of DVDs Sold

Jan Feb

Mar

AprMa

yJu

n Jul

Aug

20

10

Num

ber S

old

Month

0

50

60

40

30

DVD Sales

25 30 35 40 45 50 55

Number of DVDs Sold

2. Which display makes it easiest to findthe range of the data?

1. Which display makes it easiest to seewhat number of DVDs were sold themost often?

3. Which display makes it easiest to seehow the number of DVDs sold changedfrom January to August?

4. Which display makes it easiest tocompare the number of DVDs sold inApril to the number of DVDs sold inAugust?

5. MUSIC What type of display would bebest to show the different price of amusic CD at five different stores?

6. ROLLER COASTERS Select and make anappropriate type of display for thefollowing data.

Steepness of Wooden Roller Coasters70

59

55

63

57

55

61

56

54


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeIntegers and Graphing


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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.

City Temperature (F)

AnchorageBarrowFairbanks

151310

Points Scored

2055

51010

05

10


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Word Problem PracticeRepresenting Decimals


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BASEBALL For Exercises 14, use the table.

The table shows lifetime batting averages for leading baseball players.

1. Write Mike Piazzas batting average inword form.

2. Which digit is in the thousandths placeof each players batting average?

3. What is the batting average for theNew York Yankees player in expandedform?

4. Which players average has a 3 in thehundredths place?

5. BUILDING When measuring boardfootage for some exotic woods, acarpenter must use 1.25 for thicknessrather than 1 in her calculations. Write1.25 in expanded form.

6. TRAVEL The summer camp Jasonattends is exactly four hundred twenty-three and four tenths of a mile from hishome. Write four hundred twenty-threeand four tenths in standard form.

Lifetime Batting Averages for Leading Players

Player Team Batting Average

Albert Pujols St. Louis Cardinals 0.331

Manny Ramirez Boston Red Sox 0.315

Mike Piazza San Diego Padres 0.309

Chipper Jones Atlanta Braves 0.304

Derek Jeter New York Yankees 0.316

019_028_CRM03_881033 12/23/07 10:15 PM Page 19 epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:Course 1:Chapter 03:

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MUSIC For Exercises 14, use the table.

The table shows the percent of the music market for each type of music.

1. Use or to compare the percents forpop and rap/hip-hop. Which is greater?

2. Use or to compare the percents forcountry and R&B. Which is greater?

3. If you owned a store that sells CDs,which kind of music would you want tosell, based on the table? Explain.

4. Suppose childrens songs have 8.05percent of the market. Is this greater orless than the percent for pop music?Explain.

5. CONSTRUCTION Alberto is setting outfour boards of lumber. The lengths ofthe boards are 4.5 feet, 4.52 feet, 4 feet,and 4.505 feet. Order the lengths fromlongest to shortest.

6. CONSTRUCTION Ella set out a board ofpine lumber that was 0.8 feet long anda board of cedar lumber that was0.80 feet long. Alberto said the cedarboard was longer. Is he correct?Explain.

Music Industry Sales Statistics, 2003

Type of Music Percent of Market

Pop 8.9

Country 10.4

Rock 25.2

Rap/Hip-Hop 13.3

R&B 10.6


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Word Problem PracticeRounding Decimals


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POPULATION For Exercises 1 and 2, use the table.

The table shows the number of people in the United States per square mile.

EVERGLADES For Exercises 37, 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.

Year Number of people persquare mile of land area

1970 57.4

1980 64.0

1990 70.3

2000 79.6

U.S. Population

1. Round the decimal for the number ofpeople per square mile in 2000 to thenearest tens. Then round it to thenearest ones.

2. Round the decimal for the number ofpeople per square mile in 1970 to thenearest tens. Then round it to thenearest ones.

3. How much rain does the EvergladesNational Park receive each yearrounded to the nearest inch?

4. How many visitors did the park haverounded to the nearest tenth of amillion?

5. How many visitors did the park haverounded to the nearest ten-thousandthof a million?

6. What is the budget to the nearestmillion?

7. What is the budget to the nearesthundredth of a million?

8. SNOWBOARDING Mike, Jake, and Aaronare buying snowboards. Mike is gettinghis snowboard on sale for $219.49.Jakes costs $279.97. Aarons costs$234.95. Round each snowboard priceto the nearest dollar.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeEstimating Sums and Differences


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SPORTS For Exercises 13, use the table.

The table shows the percent of annual hospital visits due to sports injuries bymales 15 to 19 years of age.

Percent of Male Sports-Related Injuries in the U.S.Sport Percent Sport PercentBasketball 25.9 Boxing, Wrestling 4.4

Football 21.3 Exercise 3.8

Baseball/softball 4.1 Bicycling 8.1

Soccer 4.6 Skateboarding 3.6

1. Use clustering to estimate the totalnumber of hospital visits due to injuriesin baseball/softball, exercising,skateboarding, and boxing.

2. Use rounding to estimate how manymore visits were due to football injuriesthan to soccer injuries.

3. Use front-end estimation to estimate thetotal number of visits caused by injuriesin basketball and skateboarding.

4. BASKETBALL Len dribbled a basketballfor 43 seconds before Greg got the ballaway. Then Greg dribbled the ball for11.525 seconds before Len got the ball.Use front-end estimation to estimatehow many more seconds Len dribbledthe ball than Greg.

5. GARDENING Kevin is going to plantthree new types of vegetables in hisgarden. The garden store sells packagesof tomatillo seeds for $1.67, chili pepperseeds for $0.89, and pumpkin seeds for$2.32. Use rounding to estimate howmuch Kevin will spend on all threepackets of seeds.

6. TRAVEL Gloria drove 53.2 miles to hergrandmothers home. From hergrandmothers home she drove 12.67miles to her aunts home. Use front-endestimation to estimate how many milesGloria drove to get to her aunts home.Then use rounding to estimate thenumber of miles again.


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Word Problem PracticeAdding and Subtracting Decimals


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1. MICE The average length of the headand body of a western harvest mouseis 2.9 inches. The average length ofthe tail is 2.8 inches. First, estimatethe total length of the mouse. Thenfind the actual total length.

2. MUSIC A piano solo on a CD is5.33 minutes long. A guitar solo is9.67 minutes long. How much longeris the guitar solo than the piano solo?First estimate the difference. Thenfind the actual difference.

3. WHALES The average length of a humpback whale is 13.7 meters. Theaverage length of a killer whale is6.85 meters. How much longer is thehumpback whale than the killer whale?

4. GARDENING Alan is connecting threegarden hoses to make one longer hose.The green hose is 6.25 feet long, theorange hose is 5.755 feet long, and theblack hose is 6.5 feet long. First,estimate the total length. Then findthe actual total length.

5. ASTRONOMY Distance in space can bemeasured in astronomical units, or AU.Jupiter is 5.2 AU from the Sun. Pluto is39.223 AU from the Sun. How muchcloser to the Sun is Jupiter than Pluto?

6. ALGEBRA It is x miles from JamesCity to Huntley and y miles fromHuntley to Grover. How many miles isit from James City to Grover? To findout, evaluate x y if x 4.23 andy 16.876.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeMultiplying Decimals by Whole Numbers


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1. COOKING Norberto uses three 14.7 ozcans of chicken broth when he makeshis delicious tortilla soup. How manytotal ounces of chicken broth does heuse?

2. TIME Amanda works on a farm out inthe hills. It takes her 2.25 hours todrive to town and back. She usuallygoes to town twice a week to getsupplies. How much time does Amandaspend driving if she takes 8 trips totown each month?

3. EXERCISE The local health club isadvertising a special for new members:no initiation fee to join and only $34.50per month for the first year. If Andyjoins the health club for one year, howmuch will he spend on membership?

4. BIKING In order to train for a cross-state biking trip, Julie rides her bike34.75 miles five times a week. Howmany total miles does she ride eachweek?

5. MONEY David wants to buy 16 boltsfrom a bin at the hardware store. Eachbolt costs $0.03. How much will Davidpay for the bolts?

6. INSECTS One wing of a Royal Moth is0.75 inch across. How wide is themoths wingspan when both wings areopen?

7. COSTUMES KJ is making costumes forthis years samba parade. The patternshe is using calls for 2.125 yards offabric for each costume. How manyyards of fabric will she need to make 34 costumes?

8. POOL PASSES The girl scouts are goingto the pool. It will cost them $2.50 perperson to go and there are 10 peoplegoing. What will the total cost be?


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Word Problem PracticeMultiplying Decimals


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1. GIFTS Colin is filling 4.5 ounce bottleswith lavender bubble bath that hemade for gifts. He was able to fill 7.5bottles. How many ounces of bubblebath did he make?

2. GROCERY Ionas favorite peaches are$2.50 per pound at the local farmersmarket. She bought 3.5 pounds of thepeaches. How much did she spend?

3. SHOPPING Jennifer is buying newschool clothes. The items she wants tobuy add up to $132.50 before sales tax.Sales tax is calculated by multiplyingthe total amount by 0.08. What is theamount of sales tax for the items?

4. DRIVING Ana bought a van that holds20.75 gallons of gas and gets anaverage of 15.5 miles per gallon. Howmany miles can she expect to go on afull tank?

5. INCOME Ishi makes $8.50 an hourrolling sushi at Kyoto JapaneseRestaurant. His paycheck shows thathe worked 20.88 hours over the pasttwo weeks. How much did Ishi makebefore taxes?

6. TRAVEL Manny is on vacation inFrance. He rented a car to drive 233.3kilometers from Paris to Brussels andwants to figure out the distance inmiles. To convert from kilometers tomiles, he needs to multiply the totalkilometers by 0.62. How many mileswill Manny drive?


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeDividing Decimals by Whole Numbers


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1. ENTERTAINMENT Frank, Gina, Judy, andConnie are splitting their dinner bill.After tip, the total is $30.08. How muchdoes each owe if they split the bill fourways?

2. FOOD There are 25 servings in a12.5 ounce bottle of olive oil. How manyounces are in a serving?

3. RUNNING Isabella has found that shestays the most fit by running variousdistances and terrains throughout theweek. On Mondays she runs 2.5 miles,on Tuesdays 4.6 miles, on Thursdays6.75 miles, and on Saturdays 4.8 miles.What is the average distance Isabellaruns on each of the days that she runs?Round to the nearest hundredth of amile.

4. BUSINESS Katherine spends $1,089.72each month for rent and supplies torun her hair salon. If she charges $18for a haircut, how many haircuts mustKatherine do to cover her monthlyexpenses? Round to the nearest wholenumber.

5. CONSTRUCTION It took Steve and hisconstruction crew 8 months to build ahouse. After expenses, he was left with$24,872.67 for himself. On average, howmuch did Steve make per month?Round to the nearest dollar.

6. GRADES Shane wants to figure outwhat grade he is getting in math. Histest scores were 85.6, 78.5, 92.5, 67,and 83.7. What was his average test score? What grade will he receive?

Grade Average Score

A 90 100

B 80 89

C 70 79

D 60 69

F 50 59


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Word Problem PracticeDividing by Decimals


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MARATHON For Exercises 1 and 2, use the table that shows courserecords for the Boston Marathon.

Course Records for the Boston Marathon

Record-holderDivision Year Time (hours)

Mens Open Cosmas Ndeti 1994 2.121

Womens Open Margaret Okayo 2002 2.345

Mens Wheelchair Ernst Van Dyk 2004 1.305

WomensWheelchair Jean Driscoll 1994 1.523

1. The Boston Marathon is 26.2 miles.Use the times shown in the table tocalculate the miles per hour for eachdivision winner. Round to the nearestthousandth.

2. To the nearest hundredth, how manytimes greater was the mens open timethan the womens wheelchair time?

3. DRIVING The Martinez family drove48.7 miles to the river. It took them 1.2 hours to get there. How fast didthey drive? Round to the nearest wholenumber.

4. SHOPPING Nikki is buying somerefrigerator magnets for her friends.Her total bill is $16.80. If magnets are$0.80 each, how many magnets is shebuying?

5. SCALE MODEL Matt is making a scalemodel of a building. The model is 3.4 feet tall. The actual building is41.48 feet tall. How many timessmaller is the model than the actualbuilding?

6. COOKING Yori has 14.25 cups ofcupcake batter. If each cupcake uses0.75 cup of batter, how many cupcakescan Yori make?


1. FOOD Anoki is selling cotton candy atthe school carnival. The machine holdsenough for 16 cotton candy treats. If heneeds to refill the machine every 30minutes, how many cotton candy treatscan he expect to sell in 3 hours?

3. AGES Avas mother is 3 times as old asAva. Her grandmother is twice as old asAvas mother. The sum of their threeages is 120. How old is Ava, her mother,and her grandmother?

5. FOOD Keegan stopped by the deli forhis mom. If he has $14, does he haveenough money to buy 1 pound of turkey,1 pound of roast beef, and 1 pound ofham? Explain.

2. ZOOS The table shows the admissionprice to a local zoo.

The Jung family is buying 2 adulttickets, 2 student tickets, and 1 childsticket. How much will it cost the Jungfamily for admission to thezoo?

4. PURSES A department store sells threedifferent styles of purses made by acertain designer. Each style comes innavy, black, or pink. How manydifferent purses are available by thisdesigner at the department store?

6. PATTERNS Draw the next two figures inthe pattern shown below.

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Word Problem PracticeProblem-Solving Investigation: Reasonable Answers


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Lunch Meat Prices (lb)Ham

Roast beef

Salami

Turkey

$3.95

$6.29

$2.99

$2.99

Ticket PricesAdult

Student

Child under 5

$7.00

$4.50

$3.00


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c.Word Problem PracticeGreatest Common Factor

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?


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeSimplifying Fractions


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For Exercises 13, 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 Carlotas marbles areaggies? Write the answer in simplestform.

6. MOVIES Fourteen of the top thirty all-time grossing childrens films were

animated films. Write 1340

as a fraction

in simplest form.


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Word Problem PracticeMixed Numbers and Improper Fractions


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1. MILEAGE Brownsville is 758 miles away

from Frisco. Write the distance as animproper fraction.

2. SWIMMING Steven swam 467 meters

crossing Lady Jay Creek. Write thedistance he swam as a mixed number.

3. FOOD Kenjis favorite recipe calls for

334 cups of flour. Write the amount of

flour he needs as an improper fraction.

4. PUPPY Nikkis puppy weighs

275 pounds. Write the puppys

weight as a mixed number.

5. EXERCISE Koto can run 4170

miles before

she is too tired to keep going. Write thedistance she can run as an improperfraction.

6. GEOGRAPHY Hampshire Hill is 897

meters tall. Write its height as a mixednumber.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeProblem-Solving Investigation: Make an Organized List


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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, . . . ??

Ice Cream PricesOne scoop

Two scoops

Ice cream sandwich

Ice cream sundae

$1.05

$2.05

$0.99

$2.79

6 ft 8 ft

3 ft


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Word Problem PracticeLeast Common Multiple


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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?


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Word Problem PracticeComparing and Ordering Fractions


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1. SHOES Toya is looking in her closet. If

13

of her shoes are black and 25 are

brown, does she have more black shoesor more brown shoes? Explain.

2. BUDGET Daniel spends 37 of his money

on rent and 49 of his money on food.

Does he spend more money on food orrent? Explain.

3. WOODWORKING Isi drilled a hole that

is 59 inch wide. She has a screw that is

56

inch wide. Is the hole wide enough to

fit the screw? Explain.

4. FOOD In a recent survey, 25 of the

people surveyed said their favorite food

was pizza, 14 said it was hot dogs, and

130

said it was popcorn. Which food was

favored by the greatest number ofpeople? Explain.

5. OFFICE SUPPLIES A blue paper clip is

16

inch wide. A silver paper clip is

38

inch wide, and a red paper clip is

13

inch wide. What color paper clip has

the smallest width? Explain.

6. GUMBALLS A red gumball is 58 inch

across. A green gumball is 56 inch

across, and a blue gumball is 79 inch

across. List the gumballs in order fromsmallest to largest.


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Word Problem PracticeWriting Decimals as Fractions


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1. FIELD TRIP About 0.4 of a biology classwill be going on a field trip. Write thedecimal as a fraction in simplest form.

2. EARTH Eighty percent of all life onEarth is below the oceans surface.Write 0.80 as a fraction in simplestform.

3. VENUS The planet Venus is 67.24million miles away from the Sun. Writethe decimal as a mixed number insimplest form.

4. SATURN If you weighed 138 pounds onEarth, you would weigh 128.34 poundson Saturn. Write the weight on Saturnas a mixed number in simplest form.

5. MERCURY If you were 10 years old onEarth, you would be 41.494 years oldon Mercury. Write the age on Mercuryas a mixed number in simplest form.

6. INTERNET According to recent figures,4.65 million people in the Middle Eastare online. Write the decimal as amixed number in simplest form.


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeWriting Fractions as Decimals


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1. PLANETS The planet Mercury is roughly

25

the size of Earth. Write the fraction

as a decimal.

2. MARBLES Lin has a marble that is

58

inch wide. Write the marbles width

as a decimal.

3. HOMEWORK Miko has finished 156 of

her homework. Write the fraction as adecimal.

4. EXERCISE Tate has been dancing for 170

of an hour. Write this fraction as adecimal.

5. SPORTS Charlie played tennis for

334 hours. Write the mixed number as a

decimal.

6. COOKING A recipe calls for 234 cups of

milk. Write the mixed number as adecimal.

7. HEIGHT Winona is 2132 the height of her

little brother. Write the mixed numberas a decimal.

8. RECESS Jennifer has been spinning in

circles for 4136

minutes. Write the

mixed number as a decimal.


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Word Problem PracticeAlgebra: Ordered Pairs and Functions


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EXERCISE The table shows the time it takesQuentin to jog 1, 2, 3, and 4 laps aroundthe track.

3. List this information as ordered pairs(number of times around track, totaltime).

4. Graph the ordered pairs. Then describethe graph.

PHOTOGRAPHY A photography store sellsblack and white film. The cost of 1, 2, and 3rolls of black and white film are shown inthe table.

1. List this information as ordered pairs(number of rolls of film, cost).


FOOTBALL In football, each field goal madescores 3 points. The table shows thisrelationship.

5. List this information as ordered pairs(field goals made, total points).


JEWELRY The table gives the number ofbeads needed to make bracelets of lengths7, 7.5, 8, and 8.5 inches.

7. List this information as ordered pairs(bracelet length, number of beads).


Black and White Film CostsNumber of Rolls

123

Cost ($)48

12

Number of Times Around Track

1234

Total Time (min)5

101520

Field Goals Made0123

Total Points0369

Bracelet Length (in.)Number of Beads

728

7.530

832

8.534


NAME ________________________________________ DATE ______________ PERIOD _____

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1. EXERCISE Judy walked 658

miles. To the

nearest half mile, how many miles didshe walk?

2. ANIMALS Marias hamster weighs 349

pounds. How many pounds is this tothe nearest half pound?

3. TRAVEL It is 9170 miles from the

library to the school. How many milesis this to the nearest half mile?

4. CARPENTRY Jan has cut a board to make a shelf. The board is 32

7 feet long.

How many feet is this to the nearesthalf foot?

5. LUMBERING Pat needs to haul away 13

8 tons of wood from the lot. The

maximum weight his pickup truck issupposed to carry is 1 ton. How manytrips should Pat make to haul all thewood away? Explain.

6. CLOTHING Mandy is making table place mats that will take 21

4 yards of cloth. If

cloth is sold in half yards, how manyyards of cloth will Mandy need to buy?Explain.

7. EXERCISE Julien is preparing for a 5-mile race. He can choose from a

478

-mile course to train on or a 525

-mile

course. Which course should he choose?Explain.

8. CRAFTS Marisa wants to glue her 61

4-inch by 84

5-inch painting onto

foam backing. The foam backing comesin sheets that are 6 inches by 9 inchesor 7 inches by 9 inches. Which sheet offoam should Marisa buy? Explain.


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1. BIRTHDAYS Jonah took a survey of thedates of birth in his classroom. Helisted them in a stem-and-leaf plot.Which is greater for this set of data, themode or the median?

3. SHOPPING Jen-Li has $95 to spend onathletic shoes. The shoes she wants tobuy cost $59.99. If you buy one pair, youget a second pair for half price. Abouthow much money will she have left overif she purchases two pairs of theshoes?

5. MONEY The table gives admission costsfor a home improvement fair. A group oftwelve people paid a total of $50 foradmission. If 8 of them were children,how many people in the group wereadults and how many were seniorcitizens?

2. FOOD About how much more money isspent on strawberry and grape jellythan the other types of jelly?

4. FIELD TRIP Mrs. Samuelson had $350 tospend on a field trip for herself and 18students. Admission was $12.50 perperson and lunch cost about $5.00 perperson. Write an equation to describethe amount of money left after thetrip.

6. FOOD Carmen bought 134

pounds of

salmon, 215

pounds of catfish, and 23

pound of shrimp. About how muchseafood did Carmen buy?

Word Problem PracticeProblem-Solving Investigation: Act It Out

Stem Leaf

0 1 1 2 3 5 5 8 91 1 2 3 3 7 8 82 0 3 5 5 6 7 7 73 0 0 1

1|4 14th day of the month

Home ImprovementAdmission Costs

Adults

Children

Senior Citizens

$6

$4

$3

Yearly Jelly Sales (thousands)strawberry andgrape jelly

all others

$366.2

$291.5

Source: Nielson Marketing Research


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAdding and Subtracting Fractions with Like Denominators


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MAPS For Exercises 13, 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

Music

Hall

Muse

um of

Mod

ern Ar

t

Centr

al Pa

rk So

uth

1620 mi

320 mi

620 mi

Avenue of the Americas, New York City

{ { {1. Carla walked from the Empire State

Building 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?

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Word Problem PracticeAdding and Subtracting Fractions with Unlike Denominators


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BUSINESS For Exercises 14, use the table below. It lists the fractions ofUnited States car sales held by several companies in a recent year.

1. What fraction of the U.S. sales didCompany C and Company B holdtogether?

2. How much greater was the fraction ofthe market of Company A than ofCompany D?

3. How much more than Company Asfraction of the market did Company Chave?

4. Find the total fraction of the marketthat Company D and Company B holdtogether.

5. TRAVEL Gabriellas travel shampoo bottle holds 1

2 cup of shampoo. Before

leaving on vacation, she filled the bottle

to the top with 18

cup of shampoo. How

much shampoo was already in thebottle?

6. EXERCISE Bill and Andy were racing tosee who could run the farthest in

5 minutes. Bill ran 58

of a mile, and

Andy ran 34

of a mile. How much

farther did Andy run than Bill?

Leading Car Sales in U.S.

Company Fraction of Sales

Company A 15

Company B 245

Company C 25

Company D 230


NAME ________________________________________ DATE ______________ PERIOD _____

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Solve. Write answers in simplest form.

1. SCHOOL Liwanu spent 225

hours on his

math homework and 135

hours on his

science homework. How much time didhe spend doing math and sciencehomework?

2. FARMING Mr. Garcia planted 478

acres

of wheat and 158

acres of corn. How

much more wheat did he plant thancorn?

3. TRAVEL It usually takes Amalie 134

hours to get to her aunts house. Due to

Thanksgiving traffic, this year it took

313

hours. How much longer did it take

this year?

4. COOKING Gina wants to make muffins.The recipe for blueberry muffins calls

for 234

cups of flour. The recipe for

cornmeal muffins calls for 113

cups of

flour. How many more cups of flourwould Gina need for blueberry muffinsthan corn muffins?

5. SCULPTURE Jos has 812

cups of Plaster

of Paris powder. If Jos uses 535

cups

for a sculpture, how much plaster willhe have left?

6. BOOKS Kyle read 356

books and Jan

read 213

books. How many more books

did Kyle read than Jan?

7. ANIMALS The average length of a Rufous hummingbird is 31

2 inches. The

average length of a Broad-tailed

hummingbird is 412

inches. How much

shorter is the Rufous hummingbird?

8. RECYCLING The class collected

957

pounds of glass bottles and

612

pounds of aluminum cans. How

many pounds of glass and aluminumdid the class collect in all?


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Word Problem PracticeEstimating Products of Fractions


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Estimate by using rounding or compatible numbers. Show how you found yourestimates.

FOOD For Exercises 13, 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 523 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 434 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?

Grams of Saturated Fat per Tablespoon

Safflower Oil 45

Olive Oil 145

Butter 715

Cream Cheese 315

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COOKING For Exercises 1 and 2, use the recipe for chocolate frosting.

1. Georgia wants to cut the recipe forchocolate frosting in half for a smallcake that shes making. How much ofeach ingredient will she need?

2. Suppose Georgia wanted to double therecipe; what would the measurementsbe for each ingredient?

3. COMPUTERS 15

of todays collegestudents began using computersbetween the ages of 5 and 8. If a collegehas 3,500 students, how many of thestudents began using computersbetween the ages of 5 and 8?

4. EXERCISE A paper published in amedical journal reported that about

1215 of girls ages 16 to 17 do not exercise

at all. The entire study consisted ofabout 2,500 girls. About how many didnot exercise?

5. ANIMALS Catherine walks her dog

34

mile every day. How far does she walk

each week?

6. MUSIC If you practice a musical instrument each day for 2

3 of an hour,

how many hours of practice would you

get in each week?

Chocolate Frosting Recipe

13

cup butter

2 ounces melted unsweetened chocolate

2 cups powdered sugar

12

teaspoon vanilla

2 tablespoons milk


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Word Problem PracticeMultiplying Mixed Numbers


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FOOD For Exercises 13, use the table. The table shows Keiths foodoptions for a 7-day outdoor survival course.

Food Options for 7-day Outdoor Survival Course

peanut butter 1 plastic jar 435

cups

dried noodles/rice 1423

cups

dried fruit/nuts 616

cups

concentrated juice boxes 8 boxes 1614

cups

beef jerky 313

cups

powdered milk 1 box 845

cups

dehydrated soup 5 packages 1523

cups

canned tuna/meat 4 cans 535

cups

1. Keith wants to divide his tuna over theseven-day course. How many cups oftuna meat can Keith plan on

consuming each day?

2. Keith would like to bring enoughconcentrated juice in order to have

214

cups available per day. How much

juice does he need and is 8 boxes ofconcentrated juice enough?

3. Six other students have been advised tobring the same menu on the course.How many cups of dried fruits and nutswill the students be bringing alltogether?

4. MEASUREMENT Bill wants to put alarge mural on a wall that is

913

feet long and 818

feet wide. Find

the area of the wall. If the mural is 100 square feet, will it fit on the wall?

5. PAINTING Pam is mixing 315

batches of

paint. If one batch calls for

234

tablespoons of detergent to add to

the tempera powder, how manytablespoons of detergent will Pamneed?

6. COOKING To make a batch of fruit punch, Steve needs 22

3 cups blackberry

juice. If he wants to make 234

batches

of punch, how many cups of blackberryjuice will he need?


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeDividing Fractions


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1. PIZZA Norberto has 190 of a pizza. The

pizza will be divided equally among 6 people. How much will each personget?

2. CARPENTRY Laura wants to cut a board into three equal pieces. The board is

58

feet long. How long will each piece

be?

3. PETS Errol uses 13

can of wet dog food

for his dog, Muddy, each day. How manyservings will he get from 5 cans of dogfood?

4. ICE CREAM Julia ate 12

pint of mint

chocolate chip ice cream. Mark ate

34

pint of malt ice cream. How many

times more ice cream did Mark eat?

5. GARDENING Talia wants to give away 6 bundles of rosemary from her herb

garden. If she has 12

pound of rosemary,

how much will each bundle weigh?

6. SCHOOL Kirsten has 34

hour left to

finish 5 math problems on the test.How much time does she have to spendon each problem?

7. FOOD Joe has 12

of a cake he would like

to split among 3 people. What part ofthe cake will each person get?

8. INTERNET 34

of college students use the

Internet more than the library. 1900 use

the library more. How many timesmore students use the Internet?


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Word Problem PracticeDividing Mixed Numbers


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1. VIDEOTAPES Lyle is putting hisvideotapes on a shelf. The shelf is 12 inches long. If each videotape is

112

inches wide, how many videotapes

can he put side-by-side on the shelf?

2. FOOD DeLila has 412

pies to divide

equally among 9 people. How much will

each person get?

3. GARDENING Maurice mows lawns onSaturday. Last week it took him 51

2

hours to finish. This week it took only 5hours. How many times longer did it

take last week than this week?

4. COOKING Chris is cutting a roll ofcookie dough into pieces that are

12

inch thick. If the roll is 1012

inches

long, how many pieces can he make?

5. SPORTS Tanya Streeter holds the worldrecord for free-diving in the ocean. She

dove 525 feet in 312

minutes. How many

feet per minute did she dive?

6. GARDENING Catherine got 938

pounds

of c

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