Transcription

Word ProblemPractice Workbook

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.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 43240ISBN: 978-0-07-881033-6MHID: 0-07-881033-7Printed in the United States of America1 2 3 4 5 6 7 8 9 10 009 13 12 11 10 09 08 07Word Problem Practice Workbook, Course 1

sson/TitleA Plan for Problem Solving .1Prime Factors .2Powers And Exponents .3Order of Operations .4Algebra: Variables and Expressions .5Algebra: Functions .6Problem-Solving Investigation:Guess and Check.7Algebra: Equations .8Algebra: Area Formulas .9Problem-Solving investigation: Makea Table .10Bar Graphs and Line Graphs .11Interpret Line Graphs .12Stem-and-Leaf Plots .13Line Plots .14Mean .15Median, Mode and Range.16Selecting an Appropriate Display.17Integers and Graphing .18Representing Decimals .19Comparing and Ordering Decimals .20Rounding Decimals .21Estimating Sums and Differences .22Adding and Subtracting Decimals.23Multiplying Decimals by WholeNumbers.24Multiplying Decimals .25Dividing Decimals by WholeNumbers.26Dividing by Decimals.27Problem-Solving Investigation:Reasonable Answers .28Greatest Common Factor.29Simplifying Fractions .30Mixed Numbers and ImproperFractions.31Problem-Solving Investigation: Makean Organized List .32Least Common Multiple .33Comparing and Ordering Fractions.34Writing Decimals as Fractions.35Writing Fractions as Decimals.36Algebra: Ordered Pairs andFunctions.37Rounding Fractions and MixedNumbers.38Problem-Solving Investigation:Act It Out .39Adding and Subtracting Fractionswith Like Denominators.40Adding and Subtracting Fractions withUnlike Denominators iPageAdding and Subtracting MixedNumbers .42Estimating Products of Fractions .43Multiplying Fractions.44Multiplying Mixed Numbers .45Dividing Fractions.46Dividing Mixed Numbers .47Ratios and Rates .48Ratio Tables.49Proportions.50Algebra: Solving Proportions.51Problem-Solving Investigation:Look for a Pattern.52Sequences and Expressions .53Proportions and Equations.54Percents and Fractions .55Circle Graphs .56Percents and Decimals .57Probability .58Constructing Sample Spaces.59Making Predictions.60Problem-Solving Investigation:Solve a Simpler Problem.61Estimating with Percents .62Length in the Customary System.63Capacity and Weight in theCustomary System.64Length in the Metric System .65Mass and Capacity in theMetric System .66Problem-Solving Investigation: UseBenchmarks .67Changing Metric Units.68Measures of Time .69Measures of Temperature .70Measuring Angles .71Estimating and Drawing Angles .72Angle Relationships .73Triangles .74Quadrilaterals .75Problem-Solving Investigation: Drawa Diagram.76Similar and Congruent Figures .77Perimeter.78Circles and Circumferences .79Area of Parallelograms.80Area of Triangles .81Problem-Solving Investigation: Makea Model .82Volume of Rectangular Prisms.83Surface Area of Rectangular Prisms.84Ordering Integers .85Adding Integers .86

2-212-312-412-512-6PageSubtracting Integers .87Multiplying Integers .88Problem-Solving investigation: Workbackward .89Dividing Integers .90The Coordinate Plane .91Translations .92Reflections .93Rotations .94The Distributive Property .95Simplifying Algebraic Expressions .96Solving Addition Equations .97Solving Subtraction Equations .98Solving Multiplication Equations .99Problem-Solving Investigation:Choose the Best Method ofComputation .100iv

NAME DATE PERIOD1-1Word Problem PracticeUse the four-step plan to solve each problem.Visit Crater Lake National ParkGEOGRAPHY For Exercises 1 and 2, use the90 miles of trails26 miles of shorelineBoat tours availableOpen 24 hoursposter information about Crater LakeNational Park in Oregon.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Directions from Klamath Falls: TakeU.S. Highway 97 north 21 miles,then go west on S.R. 62 for 29 miles.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. and3 P.M. and every 15 minutes between3 P.M. and 6 P.M. How many times willa bus stop at the corner between 9 A.M.and 6 P.M.?Chapter 11Course 1Lesson 1-1A Plan for Problem Solving

NAME DATE PERIOD1-2Word Problem PracticePrime FactorsANIMALS For Exercises 1–3, use the table that shows the height andweight of caribou.CARIBOUHeight at the ShoulderWeightinchescentimeterspoundskilogramsCows (females)4310722099Bulls (males)501254001802. 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.Chapter 12Course 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. Which animal heights and weights areprime numbers?

NAME DATE PERIOD1-3Word Problem PracticeCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.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 about94 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 about39 square miles. Write this as aproduct. What is the area of SanBernardino County?7. GEOMETRY The volumeof the block shown canbe found by multiplyingthe width, length, and2 in.height. Write the volumeusing an exponent. Findthe volume.8. SPACE A day on Jupiter lasts about10 hours. Write a product and anexponent to show how many hoursare in 10 Jupiter days. Then find thevalue of the power.Chapter 12 in.2 in.3Course 1Lesson 1-3Powers and Exponents

NAME DATE PERIOD1-4Word Problem PracticeOrder of OperationsMONEY For Exercises 1–3, use the table that shows the price ofadmission to a movie theater.Movie Theater AdmissionAdults: 8Children (under 13): 5Matinee (before 6 P.M.): 32. Jan takes her three children and twoneighbor’s children to a matinee. All ofthe children are under age 13. Writean expression for the total cost ofadmission. How much in all did Janpay for admission?3. Connor (age 13), his sister (age 7), andConnor’s parents go to a movie onSaturday night. Write an expression forthe total cost. What is the total cost?4. SOCCER Eduardo is 16. Eduardo’s dadtakes him and his younger sister to asoccer match. Tickets are 17 for adultsand 13 for children (18 and under).Write an expression for the total cost ofthe tickets. What is the total cost of thetickets?5. MONEY Frankie orders twohamburgers and a soda for lunch. Ahamburger is 3 and a soda is 1.00.Write an expression to show how muchhe paid for lunch. Then find the valueof the expression.6. MONEY A store sells barrettes for 2each and combs for 1. Shelby buys3 barrettes and a comb. Kendra buys2 barrettes and 4 combs. Write anexpression for the amount the two girlsspent all together. Find the totalamount spent.Chapter 14Course 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.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?

NAME DATE PERIOD1-5Word Problem PracticeAlgebra: Variables and ExpressionsTRAVEL For Exercises 1 and 2, use the table that shows the distancebetween cities in Arizona.Arizona Mileage ChartCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.PhoenixPhoenix136 milesTucson253 miles117 milesNogales317 miles181 milesTucsonNogales117 miles181 miles64 miles64 miles1. 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 to3. PERIMETER The perimeter of arectangle can bewfound using theformula 2 2w,where