m3_nat_wpwb.pdf

Word Problem Practice Workbook

00i_TP_881077.indd Page 1 1/15/08 10:46:32 AM user00i_TP_881077.indd Page 1 1/15/08 10:46:32 AM user /Volumes/ju104/MHGL149/Quark%0/Word Problem%/Application file%0/FM/Course 3/Volumes/ju104/MHGL149/Quark%0/Word Problem%/Application file%0/FM/Course 3

PDF Proof

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: 978-0-07-881077-0MHID: 0-07-881077-9 Word Problem Practice Workbook, Course 3

Printed in the United States of America1 2 3 4 5 6 7 8 9 10 045 14 13 12 11 10 09 08 07

To the Student This Word Problem Practice Workbook gives you additional examplesand problems for the concept exercises in each lesson. The exercises are designed to aidyour study of mathematics by reinforcing important mathematical skills needed to succeedin the everyday world. The materials are organized by chapter and lesson, with one WordProblem Practice worksheet for every lesson in Glencoe Math Connects, Course 3.

Always keep your workbook handy. Along with your textbook, daily homework, and classnotes, the completed Word Problem Practice Workbook can help you review for quizzes and tests.

To the Teacher These worksheets are the same as those found in the Chapter Resource Masters for Glencoe Math Connects, Course 3. The answers to these worksheets are available at the end of each Chapter Resource Masters booklet as well as in your Teacher Wraparound Edition interleaf pages.

00i-0iv_FM-881077 1/15/08 1:20 AM Page ii epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:FM:Course 3:

PDF Proof

iii

Lesson/Title Page1-1 A Plan for Problem Solving ...................11-2 Variables, Expressions, and

Properties..............................................21-3 Integers and Absolute Value .................31-4 Adding Integers .....................................41-5 Subtracting Integers ..............................51-6 Multiplying and Dividing Integers ..........61-7 Writing Equations ..................................71-8 Problem-Solving Investigation:

Work Backward .....................................81-9 Solving Addition and Subtraction

Equations ..............................................91-10 Solving Multiplication and Division

Equations ............................................102-1 Rational Numbers ...............................112-2 Comparing and Ordering Rational

Numbers..............................................122-3 Multiplying Positive and Negative

Fractions..............................................132-4 Dividing Positive and Negative

Fractions..............................................142-5 Adding and Subtracting Like

Fractions..............................................152-6 Adding and Subtracting Unlike

Fractions..............................................162-7 Solving Equations with Rational

Numbers..............................................172-8 Problem-Solving Investigation:

Look for a Pattern................................182-9 Powers and Exponents .......................192-10 Scientific Notation ...............................203-1 Square Roots ......................................213-2 Estimating Square Roots ....................223-3 Problem-Solving Investigation:

Use a Venn Diagram ...........................233-4 The Real Number System...................243-5 The Pythagorean Theorem .................253-6 Using the Pythagorean Theorem ........263-7 Distance on the Coordinate Plane ......274-1 Ratios and Rates ................................284-2 Proportional and Non-proportional

Relationships.......................................294-3 Rate of Change...................................304-4 Constant Rate of Change ...................314-5 Solving Proportions.............................324-6 Problem-Solving Investigation:

Draw a Diagram ..................................334-7 Similar Polygons..................................344-8 Dilations ..............................................354-9 Indirect Measurement .........................364-10 Scale Drawings and Models ...............375-1 Ratios and Percents............................385-2 Comparing Fractions, Decimals,

and Percents .......................................39

Lesson/Title Page5-3 Algebra: The Percent Proportion.........405-4 Finding Percents Mentally ...................415-5 Problem-Solving Investigation:

Reasonable Answers ..........................425-6 Percent and Estimation .......................435-7 Algebra: The Percent Equation ...........445-8 Percent of Change ..............................455-9 Simple Interest ....................................466-1 Line and Angle Relationships .............476-2 Problem-Solving Investigation:

Use Logical Reasoning .......................486-3 Polygons and Angles ..........................496-4 Congruent Polygons............................506-5 Symmetry ............................................516-6 Reflections ..........................................526-7 Translations .........................................537-1 Circumference and Area of Circles .....547-2 Problem-Solving Investigation:

Solve a Simpler Problem.....................557-3 Area of Composite Figures .................567-4 Three-Dimensional Figures.................577-5 Volume of Prisms and Cylinders .........587-6 Volume of Pyramids and Cones..........597-7 Surface Area of Prisms and

Cylinders .............................................607-8 Surface Area of Pyramids ...................617-9 Similar Solids ......................................628-1 Simplifying Algebraic Expressions ......638-2 Solving Two-Step Equations................648-3 Writing Two-Step Equations ................658-4 Solving Equations with Variables

on Each Side.......................................668-5 Problem-Solving Investigation:

Guess and Check................................678-6 Inequalities ..........................................688-7 Solving Inequalities by Adding or

Subtracting ..........................................698-8 Solving Inequalities by Multiplying or

Dividing ...............................................709-1 Sequences ..........................................719-2 Functions.............................................729-3 Representing Linear Functions ...........739-4 Slope ...................................................749-5 Direct Variation ....................................759-6 Slope-Intercept Form ..........................769-7 Systems of Equations .........................779-8 Problem-Solving Investigation:

Use a Graph........................................789-9 Scatter Plots........................................7910-1 Linear and Nonlinear Functions ..........8010-2 Graphing Quadratic Functions ............8110-3 Problem-Solving Investigation:

Make a Model......................................8210-4 Graphing Cubic Functions...................83

CONTENTS

00i-0iv_FM-881077 1/15/08 1:20 AM Page iii epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:FM:Course 3:

PDF Proof

Lesson/Title Page10-5 Multiplying Monomials.........................8410-6 Dividing Monomials .............................8510-7 Powers of Monomials ..........................8610-8 Roots of Monomials ............................8711-1 Problem-Solving Investigation:

Make a Table .......................................8811-2 Histograms ..........................................8911-3 Circle Graphs ......................................9011-4 Measures of Central Tendency

and Range...........................................9111-5 Measures of Variation .........................9211-6 Box-and-Whisker Plots........................9311-7 Stem-and-Leaf Plots ...........................9411-8 Select an Appropriate Display.............9512-1 Counting Outcomes ............................9612-2 Probability of Compound Events.........9712-3 Experimental and Theoretical

Probability ...........................................9812-4 Problem-Solving Investigation:

Act It Out .............................................9912-5 Using Sampling to Predict.................100

iv

00i-0iv_FM-881077 1/15/08 1:20 AM Page iv epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:FM:Course 3:

PDF Proof

Chapter 1 1 Course 3

Word Problem PracticeA Plan for Problem Solving

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

1-1

1-1Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

Use the four-step plan to solve each problem.

SKATEBOARDING For Exercises 1 and 2, use the table at the right. It shows the results of a recent survey in which teenagers were asked who the bestprofessional skateboarder is.

Skater Votes

Bob Burnquist 18

Danny Way 15

Bam Margera 11

Arto Saari 9

1. Estimate the total number of teenagerswho voted.

2. How many more teenagers preferredBurnquist to Saari?

3. HISTORY The area of ManhattanIsland is 641,000,000 square feet.According to legend, the NativeAmericans sold it to the Dutch for $24.Estimate the area that was purchasedfor one cent.

4. TRAVEL Britneys flight to Romeleaves New York City at 5:15 P.M. onWednesday. The flight time is 7.5 hours. If Rome is 6 hours ahead ofNew York City, use Rome time todetermine when she is scheduled toarrive.

5. OFFICE SUPPLIES At an office supplystore, pens are $1.69 per dozen andnote pads are $4.59 per dozen. CanShirley buy 108 pens and 108 notepads for $50? Explain your reasoning.

6. SHOPPING Yoshi bought two pairs ofshoes. The regular price of each pairwas $108. With the purchase of onepair of shoes at regular price, thesecond pair was half price. How muchdid Yoshi pay altogether for the twopairs of shoes?

001_010_CRM01_881077 12/25/07 9:47 PM Page 1 epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:Course 3:Chapter 01:


NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeVariables, Expressions, and Properties

1-2

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

FOOTBALL For Exercises 1 and 2, use the table that shows statisticsfrom the 2006 Super Bowl.

1. Each teams final score for a footballgame can be found using the expression6t e 3f, where t is the number oftouchdowns, e is the number of extrapoints, and f is the number of fieldgoals. Find Pittsburghs final score inthe 2006 Super Bowl.

2. Use the expression 6t e 3f to findSeattles final score in the 2006 SuperBowl.

3. GEOMETRY The expression 6s2 can beused to find the surface area of a cube,where s is the length of an edge of thecube. Find the surface area of a cubewith an edge of length 10 centimeters.

10 cm

4. VERTICAL MOTION The height of anobject dropped from the top of a 300-foot tall building can be described bythe expression 300 16t2, where t isthe time, in seconds, after the ball isdropped. Find the height of the object 3 seconds after it is dropped.

5. MOVIE RENTALS Mario intends to rent10 movies for his birthday party. Hecan rent new releases for $4 each,while older ones are $2 each. If herents n new releases, the total cost, indollars, of the 10 movies is representedby the expression 4n 2(10 n).Evaluate the expression to find thetotal cost if he rents 7 new releases.

6. CIRCULAR MOTION Pelipa is able to spinher yo-yo along a circular path. The yo-yo is kept in this path by a forcewhich can be described by the

expression . Evaluate the

expression to find the force when m 12, v 4, and r 8.

r

Team Touchdowns Extra Points Field Goals

Seattle 1 1 1

Pittsburgh 3 3 0

mv2

r



Word Problem PracticeIntegers and Absolute Value

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

1-3

1-3Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

GOLF For Exercises 1 and 2, use the table that lists ten players andtheir scores in Round 3 of the 2005 60th U.S. Womens Open.

Player Score

Gulbis, Natalie 0

Icher, Karine 1

Jo, Young 1

Kane, Lorie 5

Kerr, Cristie 1 Ochoa, Lorena

Pressel, Morgan

Lang, Brittany

Kung, Candie

Kim, Birdie

Player

6

1

1

0

2

Score

1. Order the scores in the table from leastto greatest.

2. Who had the lowest score?

3. LONGITUDE London, England, is locatedat 0 longitude. Write integers for thelocations of New York City whoselongitude is 74 west and Tokyo whoselongitude is 140 east. Assume thateast is the positive direction.

4. STOCK MARKET Your stock loses 53points on Monday and 23 points onTuesday, but gains 67 points onWednesday. Write an integer for eachday's change.

5. SOLAR SYSTEM The averagetemperature of Saturn is 218F, whilethe average temperature of Jupiter is162F. Which planet has the loweraverage temperature?

6. OCEAN TRENCHES The elevation of thePuerto Rican Trench in the AtlanticOcean is 8,605 meters, the elevationof the Mariana Trench in the PacificOcean is 10,924 meters, and theelevation of the Java Trench in theIndian Ocean is 7,125 meters. Whichtrench has the the lowest elevation?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAdding Integers

1-4

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. FOOTBALL A football team loses 5 yardson one play and then loses 8 yards onthe next play. Write an additionexpression that represents the changein position of the team for the twoplays. Then find the sum.

2. ELEVATOR You park in a garage 3 floorsbelow ground level. Then you get in theelevator and go up 12 floors. Write anaddition expression to represent thissituation. Then find the sum.

3. GOLF In 2005, Tiger Woods won theMasters Tournament. His scores were2, 6, 7, and 1 for four rounds.Write an addition expression thatrepresents his final score. Then find thesum.

4. INVENTORY A local bookstore has 30 copies of a bestseller when it opensMonday morning. On Monday, it sells 6 copies of the book. On Tuesday, itsells 3 copies. On Wednesday, it receivesa shipment containing 24 copies of thebook and also sells 8 copies. Write anaddition expression that represents thenumber of copies of the book that storehas at the end of the day onWednesday. Then find the sum.

5. OCEANOGRAPHY A research teamaboard an underwater research vesseldescends 1,500 feet beneath the surfaceof the water. They then rise 525 feetand descend again 350 feet. Write anaddition expression to represent thissituation. Then find the sum.

6. SPORTS Peter weighs 156 pounds, buthe would like to wrestle in a lowerweight class. He loses 4 pounds oneweek, gains back 2 pounds the nextweek, loses 5 pounds the third week,and loses 3 pounds the fourth week.Write an addition expression torepresent this situation. Then find thesum.



Word Problem PracticeSubtracting Integers

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

1-5

1-5Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

GEOGRAPHY For Exercises 1 and 2, use the table. The table shows theelevations of several places on Earth.

Place Elevation (feet)

Mt. McKinley 20,320

Puerto Rican Trench 28,232

Mt. Everest 29,035

Dead Sea 1,348

Death Valley 282

1. Find the difference in elevationbetween the top of Mt. McKinley andand the top of Mt. Everest.

2. Find the difference in elevationbetween Death Valley and the Dead Sea.

3. TEMPERATURE The highest recordedtemperature on Earth was recorded inAfrica at 136F, while the lowest was129F in Antarctica. What is therange of temperatures recorded on Earth?

4. WEATHER If the overnight temperatureat the Arctic Circle was 14F, but thetemperature rose to 8F during the day,what was the difference between thesehigh and low temperatures?

5. WATER The boiling point of water is212F, while 460F is its absolutelowest temperature. Find thedifference between these twotemperatures.

6. STOCK MARKET During the course ofone day, the price of a stock fluctuatedbetween a high of $3 above theprevious days closing price and a low of$2 below the previous days closingprice. What was the difference betweenthe high and low prices for that day?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeMultiplying and Dividing Integers

1-6

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. STOCK MARKET The price of a stockdecreased $2 per day for fourconsecutive days. What was the totalchange in value of the stock over thefour-day period?

2. EVAPORATION The height of the waterin a tank decreases 3 inches each weekdue to evaporation. What is the changein the height of the water over a five-week period due to evaporation?

3. FOOTBALL A football team lost 9 yardson each of three consecutive plays.What was the teams total change inposition for the three plays?

10G 20 30 40 50 40 30 20 10 G

4. HIKING A group of hikers is descendinga mountain at a rate of 400 feet perhour. What is the change in theelevation of the hikers after 6 hours?

5. WEATHER On a certain day, thetemperature changed at a rate of 2F per hour. How long didit take for the change intemperature to be 14F?

14 F

6. GEOLOGY The length of an island ischanging at the rate of 17 inches peryear. How long will it take for thechange in the length of the island to be255 inches?

7. DEPRECIATION The value of a piece ofoffice equipment is changing at a rateof $175 per year. How long will it takefor the change in value to be $1,050?

8. POPULATION The population of a smalltown is changing at a rate of 255people per year. How long will it takefor the change in population to be2,040 people?



Word Problem PracticeWriting Equations

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

1-7

1-7Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. AGE Julia is 3 years younger thanKevin. Kevin is 13. Define a variableand write an equation to find Juliasage.

2. CIVICS In the 2004 presidential election,Texas had 23 more electoral votes thanTennessee. Define a variable and writean equation to find the number ofTennessees electoral votes if Texas had34 votes.

3. ENERGY One year, China consumed 4 times as much energy as Brazil.Define a variable and write an equationto find the amount of energy Brazilused that year if China used 12,000kilowatt-hours.

4. CHEMISTRY The atomic number ofcadmium is half the atomic number ofcurium. The atomic number for cadmium is 48. Define a variable andwrite an equation to find the atomicnumber of curium.

5. LIBRARIES The San Diego Public Libraryhas 44 fewer branches than the ChicagoPublic Library. Define a variable andwrite an equation for the number ofbranches in the San Diego PublicLibrary if Chicago has 79 branches.

6. ASTRONOMY Saturn is 6 times fartherfrom the Sun than Mars. Define avariable and write an equation to findthe distance of Mars from the Sun ifSaturn is about 1,429,400,000 km fromthe sun.

7. POPULATION The population ofOakland, California, is 9,477 more thanthe population of Omaha, Nebraska.Omaha has a population of 390,007.Define a variable and write an equationto find the population of Oakland.

8. GEOGRAPHY Kings Peak in Utah is8,667 feet taller than Spruce Knob inWest Virginia. Spruce Knob is 4,861feet tall. Define a variable and write anequation to find the height of KingsPeak.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeProblem-Solving Investigation: Work Backward

1-8

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

Use the work backward strategy to solve each problem.

CLARINET PRACTICE For Exercises 1 and 2, use the table at the right. It is arecord of the amount of time Elena practiced her clarinet in a week.

Monday Tuesday Thursday Saturday Sunday? 20 minutes 10 minutes Twice as 15 minutes

more than less than long as less thanMonday Tuesday Thursday Saturday

45 minutes

1. How many minutes did Elena practicethe clarinet on Thursday?

2. How many minutes did Elena practiceon Monday?

3. HOCKEY During a hockey game,Brandon played 7 less minutes thanNick. Zach played 12 minutes morethan Brandon. Hunter played twice aslong as Zach. Hunter played for 44minutes. How many minutes did Nickplay in the hockey game?

4. PACKAGES In the morning, a deliverytruck delivers 24 of it packages to afactory. It then goes to a distributionlot, where the remaining packages areseparated into 4 equal groups and puton other trucks. There were 18packages in each of the groups. Howmany packages were on the deliverytruck to begin with?

5. WEATHER On Monday, Eliza read herbook. On Tuesday, she read three timesas long as she read on Monday. OnWednesday she read 20 minutes lessthan Tuesday. On Thursday she readfor 20 minutes, which was half as longas she read on Wednesday How manyminutes did Eliza read over the 4-dayperiod?

6. STAMPS Zoe added 23 stamps to hercollection. Three months later hercollection had tripled in number to atotal of 159 stamps. How many stampdid Zoe have to start her collection?



Word Problem PracticeSolving Addition and Subtraction Equations

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

1-9

1-9Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. AGE Walter lived 2 years longer thanhis brother Martin. Walter was 79 atthe time of his death. Write and solvean addition equation to find Martinsage at the time of his death.

2. CIVICS New York has 24 fewer membersin the House of Representatives thanCalifornia. New York has 29representatives. Write and solve asubtraction equation to find thenumber of California representatives.

3. GEOMETRY Two angles aresupplementary if the sum of theirmeasures is 180. Angles A and B aresupplementary. If the measure of angle A is 78, write and solve anaddition equation to find the measureof angle B.

4. BANKING After you withdraw $40 fromyour checking account, the balance is$287. Write and solve a subtractionequation to find your balance beforethis withdrawal.

6. CHEMISTRY The atomic number ofmercury is the sum of the atomicnumber of aluminum and 67. Theatomic number of mercury is 80. Writeand solve an addition equation to findthe atomic number of aluminum.

7. ELEVATION The lowest point inLouisiana is 543 feet lower than thehighest point in Louisiana. Theelevation of the lowest point is 8 feet.Write and solve a subtraction equationto find the elevation of the highestpoint in Louisiana.

8. POPULATION In 2005, the population ofHonduras is the population of Haitidecreased by 832,598. The population ofHonduras is 6,823,568. Write and solvea subtraction equation to find thepopulation of Haiti.

mA 78 180B A

5. WEATHER After the temperature had risen 12F, the temperaturewas 7F. Write and solve anaddition equation to find thestarting temperature.

7 F



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeSolving Multiplication and Division Equations

1-10

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. WAGES Felipe earns $9 per hour forhelping his grandmother with her yardwork. Write and solve a multiplicationequation to find how many hours hemust help his grandmother in order toearn $54.

2. SHOPPING Granola bars are on sale for $0.50 each. If Brad paid $5 forgranola bars, write and solve amultiplication equation to find howmany bars he bought.

3. EXERCISE Jasmine jogs 3 miles each day.Write and solve a multiplicationequation to find how many days it willtake her to jog 57 miles.

4. TRAVEL On a trip, the Rollins familydrove at an average rate of 62 miles perhour. Write and solve a multiplicationequation to find how long it took themto drive 558 miles.

5. ROBOTS The smallest robot can travel20 inches per minute through a pipe.Write and solve a multiplicationequation to find how long it will takethis robot to travel through 10 feet ofpipe.

6. BANKING Nate withdraws $40 from hischecking account each day. Write andsolve a multiplication equation to findhow long it will take him to withdraw$680.

7. AGE The product of Barts age and 26 is338. Write and solve a multiplicationequation to find Barts age.

8. POPULATION The population of a smalltown is increasing at a rate of 325people per year. Write and solve amultiplication equation to find howlong it will take the population toincrease by 6,825.



Word Problem PracticeRational Numbers

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2-1

2-1Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. ASTRONOMY The pull of gravity on thesurface of Mars is 0.38 that of Earth.Write 0.38 as a fraction in simplestform.

2. ENERGY Nuclear power provided 78% ofthe energy used in France in 2005.Write 0.78 as a fraction in simplestform.

3. WEIGHTS AND MEASURES One pint isabout 0.55 liter. Write 0.55 liter as afraction in simplest form.

4. WEIGHTS AND MEASURES One inch is25.4 millimeters. Write 25.4millimeters as a mixed number insimplest form.

5. EDUCATION A local middle school has47 computers and 174 students. Whatis the number of students per computerat the school? Write your answer asboth a mixed number in simplest formand a decimal rounded to the nearesttenth.

6. BASEBALL In a recent season, theAtlanta Braves won 90 out of 162games. What was the ratio of wins tototal games? Write your answer as botha fraction in simplest form and adecimal rounded to the nearestthousandth.

7. COLLEGES AND UNIVERSITIES Recently, asmall college had an enrollment of1,342 students and a total of 215faculty. What was the student-facultyratio for this college? Write youranswer as both a mixed number insimplest form and a decimal rounded tothe nearest hundredth.

8. BASKETBALL In a recent season,Shaquille ONeal made 658 field goalsout of 1,095 attempts. What wasShaquille ONeals ratio of successfulfield goals to attempts? Write youranswer as both a fraction in simplestform and a decimal rounded to thenearest thousandth.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeComparing and Ordering Rational Numbers

2-2

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. BASKETBALL In the last ten games,

Percy made 172

of his free throws. For

the same period, Tariq made 47 of his

free throws. Which player has thebetter free throw record?

2. SPORTS Centrals baseball team won

5738

of its games last year, while

Southerns team won 5851

of its games.

Which team had the better record?

3. MEASUREMENT Beaker A contains 413 fluid ounces of water, while beaker

B contains 4130

fluid ounces of water.

Which beaker has the smaller amountof water?

4. NATURE The two trees in Opals back

yard have circumferences of 1258 inches

and 1235 inches. Which circumference is

larger?

5. EXERCISE On Monday, Rob averaged3.75 laps per minute. On Tuesday, he

averaged 345 laps per minute. On which

day did Rob run faster?

6. FOOD Hector and Carla both gaveapples to their teacher. Hectors apple

weighed 6172

ounces, while Carlas

apple weighed 6.65 ounces. Whichapple weighed more?

7. SPORTS Christina ran one lap in 83.86seconds, while Dellas time for one lap

was 8378 seconds. Which runner had

the faster time?

8. STATISTICS The median of a set ofnumbers can be found by first puttingthe numbers in order from least togreatest, then choosing the middlenumber. Find the median of 5.79,

534, 578

, 5.9, and 545.



Word Problem PracticeMultiplying Positive and Negative Fractions

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2-3

2-3Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. NUTRITION Marias favorite granola barhas 230 Calories. The nutrition label

states that 78 of the Calories come from

fat. How many Calories in the granolabar come from fat?

2. ELECTIONS In the last election, 38 of the

voters in Afton voted for the incumbentmayor. If 424 people voted in Afton inthe last election, how many voted forthe incumbent mayor?

3. HOBBIES Jerry is building a 19 scale

model of a race car. If the tires on theactual car are 33 inches in diameter,what is the diameter of the tires on themodel?

4. COOKING Enolas recipe for cookies

calls for 212 cups of flour. If she wants

to make 34 of a batch of cookies, how

much flour should she use?

5. TRANSPORTATION Hanas car used 34 of

a tank of gas to cross Arizona. The gas

tank on her car holds 1512 gallons. How

many gallons of gas did it take to crossArizona?

6. GEOMETRY The area of a rectangle isfound by multiplying its length timesits width. What is the area of a

rectangle with a length of 214 inches

and a width of 159 inches?

7. COOKING A recipe for ice cream calls

for 313 cups of heavy cream. If Steve

wants to make 212 times the normal

amount, how much heavy cream shouldhe use?

8. ADVERTISING A jewelry advertisementshows a bracelet at 6 times its actualsize. If the actual length of the bracelet

is 5130

inches, what is the length of the

bracelet in the photograph?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeDividing Positive and Negative Fractions

2-4

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. CONTAINER GARDENING One bag of

potting soil contains 814 quarts of soil.

How many clay pots can be filled fromone bag of potting soil if each pot holds

34

quart?

2. MUSIC Doug has a shelf 934 inches long

for storing CDs. Each CD is 38 inch

wide. How many CDs will fit on oneshelf?

3. SERVING SIZE A box of cereal contains

1535 ounces of cereal. If a bowl holds

225 ounces of cereal, how many bowls of

cereal are in one box?

4. HOME IMPROVEMENT Lori is building apath in her backyard using square

paving stones that are 134 feet on each

side. How many paving stones placedend-to-end are needed to make a paththat is 21 feet long?

5. GEOMETRY Given the length of arectangle and its area, you can find thewidth by dividing the area by the

length. A rectangle has an area of 623

square inches and a length of 212

inches. What is the width of therectangle?

6. GEOMETRY Given the length of arectangle and its area, you can find thewidth by dividing the area by the

length. A rectangle has an area of 457

square feet and a length of 323 feet.

What is the width of the rectangle?

7. HOBBIES Dena has a picture frame that

is 1312 inches wide. How many pictures

that are 338 inches wide can be placed

beside each other within the frame?

8. YARD WORK Leon is mowing his yard,

which is 2123 feet wide. His lawn

mower makes a cut that is 123 feet wide

on each pass. How many passes willLeon need to finish the lawn?



Word Problem PracticeAdding and Subtracting Like Fractions

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2-5

2-5Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. GEOMETRY Find the perimeter of a

rectangle with a length of 423 inches

and a width of 313 inches.

2. PETS Pat wants to find out how muchher dog Hunter weighs. Pat steps on

the scale and reads her weight as 12638

pounds. The combined weight of Pat

and Hunter is 13778 pounds. How much

does Hunter weigh?

3. MEASUREMENTS Tate fills a 1313 ounce

glass from a 2123 ounce bottle of juice.

How much juice is left in the bottle?

4. DECORATING Jeri has two posters. One

is 4170

feet wide and the other is 5110

feet wide. Will the two posters fit besideeach other on a wall that is 10 feetwide? Explain.

5. AGE Nida is 11112

years old, while her

sister Yoki is 8152

years old. What is

the sum of the ages of the sisters?

6. GEOMETRY A triangle has sides of 118 inches, 1

38

inches, and 158 inches.

What is the perimeter of the triangle?

7. HUMAN BODY Toms right foot

measures 1025 inches, while Randys

right foot measures 945 inches. How

much longer is Toms foot thanRandys?

8. COMPUTERS Trey has two data files onhis computer that he is going to

combine. One file is 149 megabytes,

while the other file is 389 megabytes.

What will be the size of the resultingfile?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAdding and Subtracting Unlike Fractions

2-6

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. GEOMETRY Two line segments have

lengths of 314 inches and 113

inches.

What is the sum of the lengths of thetwo line segments?

2. COMPUTERS The biology class hascreated two data files on the computer.

One file is 219 megabytes, while the

other file is 412 megabytes. How much

larger is the second file than the first?

3. HUMAN BODY The index finger on

Pablos right hand measures 338 inches,

while the index finger on his left hand

measures 3156

inches. Which hand has

the longer index finger? How muchlonger is it?

4. DECORATING Sugi has two pictures thatshe wants to put beside each other in a

frame. One is 312 inches wide and the

other is 518 inches wide. How wide

must the frame be to fit both pictures?

5. PETS Laura purchased two puppiesfrom a litter. One of the puppies weighs

456 pounds and the other puppy weighs

512 pounds. How much more does the

second puppy weigh than the first?

6. AGE Alma is 634 years old, while her

brother David is 356 years old. What is

the sum of the ages of Alma and David?

7. MEASUREMENT Ned pours 725 ounces of

water from a beaker containing

1014 ounces. How much water is left in

the beaker?

8. GEOMETRY A triangle has sides of

116 inches, 113

inches, and 123 inches.

What is the perimeter of the triangle?



Word Problem PracticeSolving Equations with Rational Numbers

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2-7

2-7Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. NATURE The height of a certain tree is12.85 meters. The length of its longestbranch can be found using the equation 3.23 12.85. Solve the equation.

2. SHOPPING Kristen went shopping andspent $84.63 on books and CDs. Theequation 84.63 b 43.22 can be usedto determine the amount b that shespent on books. Solve the equation.

3. ENERGY PRICES Suppose regularunleaded gasoline costs $2.40 pergallon. The price p of premium gasolinecan be found using the equation

1p.2

2.40. What is the price of the

premium gasoline?

4. DRIVING TIME Sam went for a drive lastSunday. His average speed was 46miles per hour and he drove 115 miles.The equation 115 46t can be used tofind the time t that he spent driving.Solve the equation.

5. AUTOMOBILES The bed of Julians truck

is 213 yards long. The length of the

truck can be found by solving the

equation 249 213

. What is the

length of the truck?

6. SPORTS Leo and Ted both ran in a race.

Leos time was 9 minutes, which was 34

of Teds time. Using t for Teds time,write a multiplication equation torepresent the situation.

7. SPEED Ella rode the bus to work today.

The distance she traveled was 414 miles

and the ride took 13 of an hour. The

equation 13s 414

can be used to find

the average speed s of the bus. Whatwas the average speed of the bus?

8. GEOMETRY A rectangle has area

623 square inches and length 212

inches.

The equation 623 212

w can be used to

find the width w of the rectangle. Solvethe equation.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeProblem-Solving Investigation: Look for a Pattern

2-8

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

Look for a pattern. Then use the pattern to solve each problem.

ENTERTAINMENT For Exercises 1 and 2, use the information at the right, which shows the ticket prices at a skating rink.

2 $2.003 $2.904 $3.705 $4.40

Number ofPeople in

Group1 $1.00

Total Costper Group

1. Describe the pattern used to calculatethe cost for a group after 2 people.

2. If the pattern continues, what wouldthe cost be for a group of 8 skaters?

3. SAVINGS Jordan saved $1 the firstweek, $2 the second week, $4 the thirdweek, and $8 the fourth week. If thispattern continues, how much will shesave the eighth week?

4. AGRICULTURE In a vegetable garden,the second row is 8 inches from thefirst row, the third row is 10 inchesfrom the second row, the fourth row is14 inches from the third row, and thefifth row is 20 inches from the fourthrow. If the pattern continues, how far will the eighth row be from theseventh row?

5. GARDENING Marial was plantingdaisies in her garden. She planted 2white daisies and 5 yellow daisies inthe first row, 4 white daisies and 6yellow daisies in the second row, and 6white daisies and 7 yellow daisies inthe third row. If she continues thepattern, how many white and yellowdaisies will she plant in the sixth row?

6. BIOLOGY A newborn seal pup weighs 4 pounds the first week, 8 pounds thesecond week, 16 pounds the third week,and 32 pounds the fourth week. If thisgrowth pattern continues, how manyweeks old will the seal pup be before itweighs over 100 pounds?



Word Problem PracticePowers and Exponents

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2-9

2-9Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. SPORTS In the first round of a localtennis tournament there are 25

matches. Find the number of matches.

2. GEOMETRY The volume of a box can befound by multiplying the length, width,and height of the box. If the length,width, and height of the box are all 5inches, write the volume of the boxusing an exponent.

3. MONEY An apartment complex has 3buildings. Each building has 3apartments. There are 3 people livingin each apartment, and each personpays 3 dollars per month for poolmaintenance. The expression 34

denotes the amount paid each monthfor pool maintenance. Find thisamount.

4. ACTIVISM A petition drive is being heldin 10 cities. In each city, 10 people havecollected 10 signatures each. Theexpression 103 denotes the number ofsignatures that have been collectedaltogether. Find this number.

5. MEASUREMENT There are 106

millimeters in a kilometer. Write thenumber of millimeters in a kilometer.

6. NATURE Suppose a certain forest firedoubles in size every 12 hours. If theinitial size of the fire was 1 acre, howmany acres will the fire cover in 2 days?

7. BANKING Suppose that a dollar placedinto an account triples every 12 years.How much will be in the account after60 years?

8. BIOLOGY Suppose a bacterium splitsinto two bacteria every 15 minutes.How many bacteria will there be in 3hours?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeScientific Notation

2-10

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. MEASUREMENT There are about 25.4 millimeters in one inch. Write thisnumber in scientific notation.

2. POPULATION In the year 2000, thepopulation of Rahway, New Jersey, was26,500. Write this number in scientificnotation.

3. MEASUREMENT There are 5,280 feet inone mile. Write this number inscientific notation.

4. PHYSICS The speed of light is about1.86 105 miles per second. Write thisnumber in standard notation.

5. COMPUTERS A CD can store about650,000,000 bytes of data. Write thisnumber in scientific notation.

6. SPACE The diameter of the Sun is about1.39 109 meters. Write this numberin standard notation.

7. ECONOMICS The U.S. Gross DomesticProduct in the year 2004 was1.17 1013 dollars. Write this numberin standard notation.

8. MASS The mass of planet Earth isabout 5.98 1024 kilograms. Write thisnumber in standard notation.



Word Problem PracticeSquare Roots

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

3-1

3-1Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. PLANNING Rosy wants a large picturewindow put in the living room of hernew house. The window is to be squarewith an area of 49 square feet. Howlong should each side of the window be?

2. GEOMETRY If the area of a square is1 square meter, how many centimeterslong is each side?

3. ART A miniature portrait of GeorgeWashington is square and has an areaof 169 square centimeters. How long iseach side of the portrait?

4. BAKING Len is baking a square cake forhis friends wedding. When served tothe guests, the cake will be cut intosquare pieces 1 inch on a side. The cakeshould be large enough so that each ofthe 121 guests gets one piece. Howlong should each side of the cake be?

5. ART Cara has 196 marbles that she isusing to make a square formation. Howmany marbles should be in each row?

6. GARDENING Tate is planning to put asquare garden with an area of 289 square feet in his back yard. Whatwill be the length of each side of thegarden?

7. HOME IMPROVEMENT Al has 324 squarepaving stones that he plans to use toconstruct a square patio. How manypaving stones wide will the patio be?

8. GEOMETRY If the area of a square is529 square inches, what is the length ofa side of the square?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeEstimating Square Roots

3-2

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. GEOMETRY If the area of a square is29 square inches, estimate the length ofeach side of the square to the nearestwhole number.

2. DECORATING Miki has an square rug in her living room that has an area of19 square yards. Estimate the length of a side of the rug to the nearest whole number.

3. GARDENING Ruby is planning to put asquare garden with an area of200 square feet in her back yard.Estimate the length of each side of thegarden to the nearest whole number.

4. ALGEBRA Estimate the solution ofc2 40 to the nearest integer.

5. ALGEBRA Estimate the solution ofx2 138.2 to the nearest integer.

6. ARITHMETIC The geometric mean oftwo numbers a and b can be found byevaluating a b. Estimate thegeometric mean of 5 and 10 to thenearest whole number.

7. GEOMETRY The radius r of a certaincircle is given by r 71. Estimate theradius of the circle to the nearest foot.

8. GEOMETRY In a triangle whose baseand height are equal, the base b isgiven by the formula b 2A, where Ais the area of the triangle. Estimate tothe nearest whole number the base ofthis triangle if the area is 17 squaremeters.



Word Problem PracticeProblem-Solving Investigation: Use a Venn Diagram

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

3-3

3-3Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

Use a Venn diagram to solve each problem.

NATIONAL PARKS For Exercises 1 and 2, use the information in the box. Itshows the number of people who visited two National Parks in one year.

1. How many yearly pass holders visitedONLY Yellowstone Park?

2. How many yearly pass holders did notvisit either Yosemite Park orYellowstone Park?

3. PIZZA At a skating party, 10 skaterssaid they like pepperoni on their pizza,12 said they like sausage. Sevenskaters said they like both, and the restlike plain cheese. If there were 20skaters having pizza, how many likeplain cheese?

4. FIELD TRIP Of the 24 students on afieldtrip to the local ski hill, 13 ski and11 snowboard. Four of the students skiand snowboard. How many students donot ski or snowboard?

5. BOOKS Of the 420 people who visitedthe library, 140 people checked out anonfiction book, 270 checked out afiction book. Ninety-five of the visitorschecked out both fiction and nonfiction.How many visitors did not check out abook?

6. SIBLINGS Of the 18 girls on a soccerteam, 10 have a sister, 14 have abrother, and 8 have both a brother anda sister. How many of the girls do nothave a brother or a sister?

Number of Yearly Pass Holders Who Pass Holders Who Pass Holders National Park Visited Yellowstone Visited Yosemite Who Visited

Passes Sold National Park National Park Both Parks

4,250,000 1,420,000 2,560,000 770,000



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeThe Real Number System

3-4

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. GEOMETRY If the area of a square is33 square inches, estimate the length ofa side of the square to the nearesttenth of an inch.

2. GARDENING Hal has a square garden inhis back yard with an area of 210 square feet. Estimate the length ofa side of the garden to the nearesttenth of a foot.

3. ALGEBRA Estimate the solution ofa2 21 to the nearest tenth.

4. ALGEBRA Estimate the solution ofb2 67.5 to the nearest tenth.

5. ARITHMETIC The geometric mean oftwo numbers a and b can be found byevaluating a b. Estimate thegeometric mean of 4 and 11 to thenearest tenth.

6. ELECTRICITY In a certain electricalcircuit, the voltage V across a 20 ohmresistor is given by the formulaV 20P, where P is the powerdissipated in the resistor, in watts.Estimate to the nearest tenth thevoltage across the resistor if the powerP is 4 watts.

7. GEOMETRY The length s of a side of acube is related to the surface area A of

the cube by the formula s A6. If the surface area is 27 square inches, whatis the length of a side of the cube to thenearest tenth of an inch?

8. PETS Alicia and Ella are comparing theweights of their pet dogs. Alicia

reports that her dog weighs 1115

pounds, while Ella says that her dogweighs 125 pounds. Whose dogweighs more?



Word Problem PracticeThe Pythagorean Theorem

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

3-5

3-5Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. ART What is the length of a diagonal ofa rectangular picture whose sides are12 inches by 17 inches? Round to thenearest tenth of an inch.

2. GARDENING Ross has a rectangulargarden in his back yard. He measuresone side of the garden as 22 feet andthe diagonal as 33 feet. What is thelength of the other side of his garden?Round to the nearest tenth of a foot.

3. TRAVEL Troy drove 8 miles due eastand then 5 miles due north. How far isTroy from his starting point? Roundthe answer to the nearest tenth of amile.

4. GEOMETRY What is the perimeter of aright triangle if the hypotenuse is15 centimeters and one of the legs is9 centimeters?

5. ART Anna is building a rectangularpicture frame. If the sides of the frameare 20 inches by 30 inches, what shouldthe diagonal measure? Round to thenearest tenth of an inch.

6. CONSTRUCTION A 20-foot ladder leaningagainst a wall is used to reach awindow that is 17 feet above theground. How far from the wall is thebottom of the ladder? Round to thenearest tenth of a foot.

7. CONSTRUCTION A door frame is 80 inches tall and 36 inches wide. Whatis the length of a diagonal of the doorframe? Round to the nearest tenth ofan inch.

8. TRAVEL Tina measures the distancesbetween three cities on a map. Thedistances between the three cities are45 miles, 56 miles, and 72 miles. Do thepositions of the three cities form a righttriangle?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeUsing the Pythagorean Theorem

3-6

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. RECREATION A pool table is 8 feet longand 4 feet wide. How far is it from onecorner pocket to the diagonally oppositecorner pocket? Round to the nearesttenth.

2. TRIATHLON The course for a localtriathlon has the shape of a righttriangle. The legs of the triangle consistof a 4-mile swim and a 10-mile run.The hypotenuse of the triangle is thebiking portion of the event. How far isthe biking part of the triathlon? Roundto the nearest tenth if necessary.

3. LADDER A ladder 17 feet long is leaningagainst a wall. The bottom of the ladderis 8 feet from the base of the wall. Howfar up the wall is the top of the ladder?Round to the nearest tenth if necessary.

4. TRAVEL Tara drives due north for22 miles then east for 11 miles. Howfar is Tara from her starting point?Round to the nearest tenth if necessary.

5. FLAGPOLE A wire 30 feet long isstretched from the top of a flagpole tothe ground at a point 15 feet from thebase of the pole. How high is theflagpole? Round to the nearest tenth ifnecessary.

6. ENTERTAINMENT Isaacs television is25 inches wide and 18 inches high.What is the diagonal size of Isaacstelevision? Round to the nearest tenthif necessary.



Word Problem PracticeDistance on the Coordinate Plane

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

3-7

3-7Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. ARCHAEOLOGY An archaeologist at adig sets up a coordinate system usingstring. Two similar artifacts arefoundone at position (1, 4) and theother at (5, 2). How far apart were thetwo artifacts? Round to the nearesttenth of a unit if necessary.

2. GARDENING Vega set up a coordinatesystem with units of feet to locate theposition of the vegetables she plantedin her garden. She has a tomato plantat (1, 3) and a pepper plant at (5, 6).How far apart are the two plants?Round to the nearest tenth if necessary.

3. CHESS April is an avid chess player.She sets up a coordinate system on herchess board so she can record theposition of the pieces during a game.In a recent game, April noted that herking was at (4, 2) at the same time thather opponents king was at (7, 8). Howfar apart were the two kings? Round tothe nearest tenth of a unit if necessary.

4. MAPPING Cory makes a map of hisfavorite park, using a coordinatesystem with units of yards. The old oaktree is at position (4, 8) and the graniteboulder is at position (3, 7). How farapart are the old oak tree and thegranite boulder? Round to the nearesttenth if necessary.

5. TREASURE HUNTING Taro uses acoordinate system with units of feet tokeep track of the locations of anyobjects he finds with his metal detector.One lucky day he found a ring at (5, 7)and an old coin at (10, 19). How farapart were the ring and coin beforeTaro found them? Round to the nearesttenth if necessary.

6. GEOMETRY The coordinates of points Aand B are (7, 5) and (4, 3),respectively. What is the distancebetween the points, rounded to thenearest tenth?

7. GEOMETRY The coordinates of pointsA, B, and C are (5, 4), (2, 1), and(4, 4), respectively. Which point, B orC, is closer to point A?

8. THEME PARK Tom is looking at a map ofthe theme park. The map is laid out ina coordinate system. Tom is at (2, 3).The roller coaster is at (7, 8), and thewater ride is at (9, 1). Is Tom closer tothe roller coaster or the water ride?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeRatios and Rates

4-1

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. COOKING In a bread dough recipe,there are 3 eggs for every 9 cups offlour. Express this ratio in simplestform.

2. WILDLIFE Dena counted 14 robins out of150 birds. Express this ratio insimplest form.

3. INVESTMENTS Josh earned dividends of$2.16 on 54 shares of stock. Find thedividends per share.

4. TRANSPORTATION When Denise boughtgasoline, she paid $27.44 for 11.2gallons. Find the price of gasoline pergallon.

5. WATER FLOW Jacob filled his 60-gallonbathtub in 5 minutes. How fast was thewater flowing?

6. TRAVEL On her vacation, Charmainesflight lasted 4.5 hours. She traveled954 miles. Find the average speed ofthe plane.

7. HOUSING Mr. and Mrs. Romero boughta 1,200 square-foot house for $111,600.How much did they pay per squarefoot?

8. SHOPPING A breakfast cereal comes intwo different sized packages. The8-ounce box costs $2.88, while the12-ounce box costs $3.60. Which box isthe better buy? Explain your reasoning.



Word Problem PracticeProportional and Nonproportional Relationships

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

4-2

4-2Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

For Exercises 18, use a table of values when appropriate to explain your reasoning.

1. SPORTS A touchdown is worth 6 points.Additionally you score an extra point ifyou can kick a field goal. Is the totalnumber of points scored equal to thenumber of touchdowns?

2. DRIVING Gasoline costs $2.79 pergallon. Is the number of gallonsproportional to the total cost?

3. JOBS Michael earns $3.90 per hour as aserver at a restaurant. In addition, heearns an average of 18% tips on hisfood sales. Is the amount of money thathe earns proportional to the number ofhours that he works?

4. RECREATION A outdoor swimming poolcosts $8 per day to visit during thesummer. There is also a $25 yearlyregistration fee. Is the total costproportional to the total number ofdays visited?

5. SCHOOL At a certain middle school,there are 26 students per teacher inevery homeroom. Is the total number ofstudents proportional to the number ofteachers?

6. TEAMS A baseball club has 18 playersfor every team, with the exception offour teams that have 19 players each.Is the number of players proportionalto the number of teams?

7. MONEY At the beginning of thesummer, Roger had $180 in the bank.Each week he deposits another $64that he earns mowing lawns. Is hisaccount balance proportional to thenumber of weeks since he startedmowing lawns?

8. SHELVES A bookshelf holds 43 books oneach shelf. Is the total number of booksproportional to the number of shelvesin the bookshelf?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeRate of Change

4-3

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

7:00 P.M.

ELECTIONS For Exercises 13, use the table that shows the total numberof people who had voted in District 5 at various times on election day.

1. Find the rate of change in the numberof voters between 8:00 A.M. and10:00 A.M. Then interpret its meaning.

2. Find the rate of change in the numberof voters between 10:00 A.M. and1:00 P.M. Then interpret its meaning.

3. During which of these two time periodsdid the number of people who hadvoted so far increase faster? Explainyour reasoning.

4. MUSIC At the end of 2005, Candace had47 CDs in her music collection. At theend of 2008, she had 134 CDs. Find therate of change in the number of CDs inCandaces collection between 2005 and2008.

5. FITNESS In 1998, the price of an annualmembership at Mr. Jensens health clubwas $225. In 2008, the price of thesame membership was $319.50. Findthe rate of change in the price of theannual membership between 1998 and2008.

6. HIKING Last Saturday Fumio and Kishiwent hiking in the mountains. Whenthey started back at 2:00 P.M., theirelevation was 3,560 feet above sealevel. At 6:00 P.M., their elevation was2,390 feet. Find the rate of change oftheir elevation between 2:00 P.M. and6:00 P.M. Then interpret its meaning.

Time 8:00 A.M. 10:00 A.M. 1:00 P.M. 4:30 P.M.

Number of Voters 141 351 798 1,008 1,753



Word Problem PracticeConstant Rate of Change

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

4-4

4-4Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

FLOWERS For Exercises 1 and 2, use LONG DISTANCE For Exercises 36, use the graph that shows the depth of the the graph that compares the costs of water in a vase of flowers over 8 days. long distance phone calls with three

different companies.

y

x

0

1

1 2 3 4 5 6 7 8 9 10

23456789

10

Depth of Water in Vase

Dept

h (in

.)

Day

1. Find the rate of change for the line. 2. Interpret the difference between depthin inches and the day as a rate of

change.

y

x

0 1 2 3 4 5 6 7 8 9

0.50

1.00

1.50

2.00

2.50

Long Distance Charges

Cost

($)

Length of Call (minutes)

Company A

Company B

Company C

3. Interpret the difference between the costin dollars and the length in minutes forCompany A as a rate of change.

4. Interpret the difference between the costin dollars and the length in minutes for Company B as a rate of change.

5. Interpret the difference between the costin dollars and the length in minutes forCompany C as a rate of change.

6. Which company charges the least foreach additional minute? Explain yourreasoning.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeSolving Proportions

4-5

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. USAGE A 12-ounce bottle of shampoolasts Enrique 16 weeks. How longwould you expect an 18-ounce bottleof the same brand to last him?

2. COMPUTERS About 13 out of 20 homeshave a personal computer. On a streetwith 60 homes, how many would youexpect to have a personal computer?

3. SNACKS A 6-ounce package of fruitsnacks contains 45 pieces. How manypieces would you expect in a 10-ouncepackage?

4. TYPING Ingrid types 3 pages in thesame amount of time that Tanya types4.5 pages. If Ingrid and Tanya starttyping at the same time, how manypages will Tanya have typed whenIngrid has typed 11 pages?

5. SCHOOL A grading machine can grade48 multiple-choice tests in 1 minute.How long will it take the machine tograde 300 tests?

6. AMUSEMENT PARKS The waiting time toride a roller coaster is 20 minutes when150 people are in line. How long is thewaiting time when 240 people are inline?

7. PRODUCTION A shop produces 39wetsuits every 2 weeks. How long willit take the shop to produce 429wetsuits?

8. FISH Of the 50 fish that Jim caughtfrom the lake, 14 were trout. Theestimated population of the lake is7,500 fish. About how many troutwould you expect to be in the lake?



Word Problem PracticeProblem-Solving Investigation: Draw a Diagram

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

4-6

4-6Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. TILING Kelly is using 3-inch square tilesto cover a 4-foot by 2-foot area. Thetiles are 0.5 inches tall. If the tiles werestacked on top of each other to create atower, how many inches tall would thetower be?

2. AQUARIUM An aquarium holds 42gallons of water. After 2 minutes, theaquarium has 3 gallons of water in it.How many more minutes will it take tocompletely fill the aquarium?

3. FABRIC It takes Lucy 7 minutes to cut a20-yard by 1-yard roll of fabric into 14equal pieces. How many minutes wouldit take her to cut the fabric into 25equal pieces?

4. SPORTS The width of a soccer field is 12feet more than 2

3 of its length. If the

field is 96 feet long, what is itsperimeter?

5. BEVERAGES It requires 4 gallon jugs ofwater to fill 104 glasses equally. Howmany gallons jugs are required to fill338 glasses equally?

6. GAS It takes Richard 48 seconds to fillhis gas tank with 3 gallons of gas. Ifthe tank holds 14 gallons, how manymore seconds will it take to fill itcompletely?

For Exercises 16, use the draw a diagram strategy to solve the problem.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeSimilar Polygons

4-7

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. JOURNALISM The editor of the schoolnewspaper must reduce the size of agraph to fit in one column. The originalgraph is 2 inches by 2 inches, and thescale factor from the original to thereduced graph is 8:3. Find thedimensions of the graph as it willappear in one column of the newspaper.

2. PHOTOCOPIES Lydia plans to use aphotocopy machine to increase the sizeof a small chart that she has made aspart of her science project. The originalchart is 4 inches by 5 inches. If sheuses a scale factor of 5:11, will thechart fit on a sheet of paper 812 inchesby 11 inches? Explain.

3. MICROCHIPS The image of a microchipin a projection microscope measures 8inches by 10 inches. The width of theactual chip is 4 millimeters. How longis the chip?

4. PROJECTIONS A drawing on atransparency is 11.25 centimeters wideby 23.5 centimeters tall. The width ofthe image of the drawing projected ontoa screen is 2.7 meters. How tall is thedrawing on the screen?

5. GEOMETRY Polygon ABCD is similar topolygon FGHI. Each side of polygonABCD is 314 times longer than thecorresponding side of polygon FGHI.Find the perimeter of polygon ABCD.

6. KITES A toy company produces twokites whose shapes are geometricallysimilar. Find the length of the missingside of the smaller kite.

25 in.25 in.

30 in.22.5 in.

30 in.xB

A

DI

H

F

G

C

3 in.

2 in.

5 in.

3 in.



Word Problem PracticeDilations

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

4-8

4-8Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. EYES Daves optometrist used medicineto dilate his eyes. Before dilation, hispupils had a diameter of 4.1 millimeters. After dilation,his pupils had a diameter of 8.2 millimeters. What was the scale factor of the dilation?

2. BIOLOGY A microscope increases thesize of objects by a factor of 8. Howlarge will a 0.006 millimeterparamecium appear?

3. PHOTOGRAPHY A photograph wasenlarged to a width of 15 inches. If thescale factor was 32, what was the widthof the original photograph?

4. MOVIES Film with a width of 35 millimeters is projected onto a screenwhere the width is 5 meters. What is the scale factor of this enlargement?

5. PHOTOCOPYING A 10-inch long copy ofa 2.5-inch long figure needs to be madewith a copying machine. What is theappropriate scale factor?

6. MODELS A scale model of a boat isgoing to be made using a scale of 5

10

.If the original length of the boat is 20 meters, what is the length of themodel?

7. MODELS An architectural model is 30 inches tall. If the scale used to buildthe model is 1

120

, what is the height ofthe actual building?

8. ADVERTISING An advertiser needs a4-inch picture of a 14-foot automobile.What is the scale factor of thereduction?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeIndirect Measurement

4-9

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. HEIGHT Paco is 6 feet tall and casts a12-foot shadow. At the same time,Diane casts an 11-foot shadow. How tallis Diane?

2. LIGHTING If a 25-foot-tall house casts a75-foot shadow at the same time that astreetlight casts a 60-foot shadow, howtall is the streetlight?

3. FLAGPOLE Lena is 512 feet tall and castsan 8-foot shadow. At the same time, aflagpole casts a 48-foot shadow. Howtall is the flagpole?

4. LANDMARKS A woman who is 5 feet5 inches tall is standing near the Space Needle in Seattle, Washington.She casts a 13-inch shadow at the sametime that the Space Needle casts a121-foot shadow. How tall is the SpaceNeedle?

5. NATIONAL MONUMENTS A 42-footflagpole near the WashingtonMonument casts a shadow that is14 feet long. At the same time, theWashington Monument casts a shadowthat is 185 feet long. How tall is theWashington Monument?

6. ACCESSIBILITY A ramp slopes upwardfrom the sidewalk to the entrance of abuilding at a constant incline. If theramp is 2 feet high when it is 5 feetfrom the sidewalk, how high is theramp when it is 7 feet from thesidewalk?

5 ft

2 ft



Word Problem PracticeScale Drawings and Models

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

4-1

0

4-10Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

CAMPUS PLANNING For Exercises 13, use thefollowing information.

The local school district has made a scale modelof the campus of Engels Middle School includinga proposed new building. The scale of the modelis 1 inch 3 feet.

1. An existing gymnasium is 8 inches tallin the model. How tall is the actualgymnasium?

2. The new building is 22.5 inches fromthe gymnasium in the model. Whatwill be the actual distance from thegymnasium to the new building if itis built?

3. What is the scale factor of the model? 4. MAPS On a map, two cities are 534inches apart. The scale of the map is12

inch 3 miles. What is the actualdistance between the towns?

5. TRUCKS The bed of Jerrys pickup truckis 6 feet long. On a scale model of thetruck, the bed is 8 inches long. What isthe scale of the model?

6 ft

6. HOUSING Marta is making a scaledrawing of her apartment for a schoolproject. The apartment is 28 feet wide.On her drawing, the apartment is 7 inches wide. What is the scale ofMartas drawing?

28 ft

Gym

nasi

um

Park

ing

AcademicBuilding

View of Campus from Above

NewBuilding



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeRatios and Percents

5-1

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. PETS Three out of every 20 dogs in theU.S. are Golden Retrievers. Write thisratio as a percent.

2. GEOGRAPHY About 29% of the worldssurface is covered by land. Write thispercent as a fraction.

5. HEALTH CARE Over 15% of Americansdo not have health insurance. Writethis percent as a fraction.

6. ENERGY Japan accounts for about 5.4%of the worlds petroleum consumption.Write this percent as a fraction.

7. GEOGRAPHY The federal government owns about 12

30

of the land in the state

of Utah. Write this fraction as apercent.

8. POPULATION In a recent survey, 11 outof every 50 people in the United Stateswere age 65 or older. Write this ratio asa percent.

3. BASKETBALL Shaquille ONeal of theL.A. Lakers hit 11 out of 20 free throwsin a 5-game series. Write this numberas a percent.

4. EDUCATION In a recent survey, about38% of 18- to 24-year-olds in the United States were enrolled in a college or university. Write this percentas a fraction.

038_046 CRM05_881077 12/26/07 3:17 PM Page 38 epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:Course 3:Chapter 05:


Word Problem PracticeComparing Fractions, Decimals, and Percents

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

5-2

5-2Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. BASKETBALL In a recent season, SusanBird of the WNBA team the SeattleStorm made 43% of her 3-point shots.Write this percent as a decimal.

2. POPULATION From 2000 to 2005, thepopulation of New York City increasedby 2%. Write this percent as a decimal.

5. INTERNET Internet access in the U.S.has increased dramatically in recentyears. If 110 out of every 200households had Internet access, whatpercent of households had Internetaccess?

6. VOTING The rate of voter turnout in the1932 U.S. presidential election was0.524. Write this decimal as a percent.

7. ECONOMICS Consumer prices in theU.S. rose at a rate of 0.033 from 2003 to2004. Write this decimal as a percent.

8. SPORTS In a recent season, the WNBA

Indiana Fever won 2314 of their

games. Write this fraction as a percent.

3. BASEBALL Recently, the Chicago WhiteSox had a team batting average of0.262. Write this decimal as a percent.

4. HEALTH In 2004, 15.7% of Americanswere without health insurance. Writethis percent as a decimal.



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeAlgebra: The Percent Proportion

5-3

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

1. COMMUTING On his trip across town,Mark was stopped by a red light at 9out of 15 intersections. At what percentof intersections was Mark stopped by ared light?

2. CLIMATE In Las Vegas, Nevada, theskies are clear on 92% of the days. Howmany days in the month of June wouldyou expect the skies to be clear in LasVegas? Round the answer to thenearest day.

5. SPORTS In a recent season, the SanFrancisco Giants won 75 out of162 games. What percent of theirgames did they win? Round to thenearest tenth if necessary.

6. GOLF On a recent round of golf, Shanamade par on 15 out of 18 holes. Onwhat percent of holes did Shana makepar? Round to the nearest tenth ifnecessary.

7. DRIVING TEST On the written portion ofher driving test, Sara answered 84% ofthe questions correctly. If Saraanswered 42 questions correctly, howmany questions were on the drivingtest?

8. EDUCATION In a certain small town,65% of the adults are college graduates.How many of the 240 adults living inthe town are college graduates?

3. POLLING A recent poll shows that 65%of adults are in favor of increasedfunding for education. The number ofadults surveyed for the poll was 140.How many of the adults surveyed werein favor of increased funding foreducation?

4. FLOWERS Mikas rosebush had 24blooms in the first week of May. Thiswas 80% as many blooms as Tammysrosebush had during the same period.How many blooms did Tammysrosebush have?



Word Problem PracticeFinding Percents Mentally

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

5-4

5-4Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. ELECTIONS In a certain small town, 80%of the adults voted in the last election.How many of the 600 adults living inthe town voted in the last election?

2. FISH POPULATION Fish and gamemanagers have determined that 10%of the approximately 3,400 fish inAvondale Lake are catfish. How manycatfish are there in Avondale Lake?

3. SURVEYS In a recent survey, 1% of thepeople had no opinion on the topic. Howmany of the 1,100 people surveyed hadno opinion on the topic?

4. BAND In a local middle school, 3313% of the students are in the band. There are240 students in the school. How manymiddle school students are in the band?

5. AIR TRAVEL At one large internationalairport in the U.S., 20% of the arrivingflights are from other countries. On arecent day, 240 flights arrived at theairport. How many of these flights werefrom other countries?

6. TELEPHONE Ramona likes to keeptrack of her incoming calls. Lastmonth, 25% of the 132 calls Ramonareceived were from her mother. Howmany calls did Ramona get from hermother last month?

7. FARMING Jake grows corn and soybeanson his farm. He has corn growing on6623% of his 330 acres. How many acresare being used for corn?

8. ENERGY The U.S. has 25% of thenuclear power plants in the world.How many of the worlds 416 nuclearpower plants are in the U.S.?



NAME ________________________________________ DATE ______________ PERIOD _____

Word Problem PracticeProblem-Solving Investigation: Reasonable Answers

5-5

Copy

right

G

lenc

oe/M

cGra

w-H

ill, a

divi

sion

of T

he M

cGra

w-H

ill Co

mpa

nies

, In

c.

For Exercises 18, determine a reasonable answer.

1. SHOPPING A coat that normally costs$90 is on sale at 45% off. If Jared brings$45 with him, will he have enough topurchase the coat? Explain.

2. MONEY Helen took $100 to the store.She spent $44.56 on a video game. Shewants to buy a CD for $18.79 and a bookfor $32.89. Does she have enough moneywith her to make these two purchases?Explain.

3. SCHOOL There are 438 students atNewton Middle School. If 38% of thestudents participate in after-schoolsports, would the number of studentsinvolved in sports be about 110, 170, or220? Explain.

4. JOBS Fredrick is paid $12.35 per hour athis part-time job at a landscapingcompany. If he is saving to buy a newMP3 player that costs $289, will he haveto work 20, 25, or 30 hours? Explain.

5. INTEREST A savings account earns 5.23% interest in one year. If the accountholds $4,978 for the entire year, abouthow much will it earn in interest?Explain.

6. SURVEY In a recent survey, 22% ofstudents at Belletown Middle Schoolparticipate in music programs at theschool. If there are 1,417 students inthe school, is 280, 420, or 560 areasonable estimate for the number ofstudents who participate in musicprograms? Explain.

7. CARS Maryanne is saving to buy a car.She wants to have a down payment of10% for a car that costs $11,783. So far,she has saved $487. If she saves $125each week for the down payment, howsoon can she buy the car?

8. GAS Lucies car averages about 34.7miles per gallon. If a full tank holds14.3 gallons of gas, about how far canshe drive on a full tank of gas?



Word Problem PracticePercent and Estimation

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

5-6

5-6Co

pyrig

ht

Gle

ncoe

/McG

raw

-Hill,

a d

ivisio

n of

The

McG

raw

-Hill

Com

pani

es, In

c.

1. FITNESS At the office where Michaelworks, 8 out of 17 employees work outat least twice a week. Estimate thepercent of employees that work out atleast twice a week.

2. PETS Niki asked 25 of her classmatesabout what pets they have at home.Eleven of the 25 said they had both acat and a dog. Estimate the percent ofNikis classmates that have both a catand a dog.

3. BOOKS Jorge has rea

Documents

m3_nat_wpwb.pdf