www.TechnicalBooksPDF.com Basic Mathematics, Seventh Edition Charles P McKeague Mathematics Editor: Marc Bove Publisher: Charlie Van Wagner Consulting Editor: Richard T Jones Assistant Editor: Shaun Williams Editorial Assistant: Mary De La Cruz Media Editor: Maureen Ross Marketing Manager: Joe Rogove Marketing Assistant: Angela Kim Marketing Communications Manager: Katy Malatesta Project Manager, Editorial Production: Hal Humphrey Art Director: Vernon Boes Print Buyer: Judy Inouye © 2010, 2005 Brooks/Cole, Cengage Learning ALL RIGHTS RESERVED No part of this work covered by the copyright herein may be reproduced, transmitted, stored or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without the prior written 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represented in Canada by Nelson Education, Ltd For your course and learning solutions, visit www.academic.cengage.com To learn more about Brooks/Cole, visit www.cengage.com/brookscole Purchase any of our products at your local college store or at our preferred online store www.ichapters.com Printed in the United States of America 11 10 09 08 www.TechnicalBooksPDF.com Basic Mathematics SEVENTH EDITION Charles P McKeague CUESTA COLLEGE Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States www.TechnicalBooksPDF.com This page intentionally left blank www.TechnicalBooksPDF.com Brief Contents Chapter Whole Numbers Chapter Fractions and Mixed Numbers Chapter Decimals Chapter Ratio and Proportion Chapter Percent Chapter Measurement Chapter Introduction to Algebra Chapter Solving Equations 105 203 277 331 405 457 519 Appendix A Resources 587 Appendix B One Hundred Addition Facts Appendix C One Hundred Multiplication Facts 588 589 Solutions to Selected Practice Problems Answers to Odd-Numbered Problems Index S-1 A-1 I-1 iii www.TechnicalBooksPDF.com This page intentionally left blank www.TechnicalBooksPDF.com Contents Whole Numbers Introduction 1.1 Place Value and Names for Numbers 1.2 Addition with Whole Numbers, and Perimeter 13 1.3 Rounding Numbers, Estimating Answers, and Displaying Information 1.4 Subtraction with Whole Numbers 1.5 Multiplication with Whole Numbers 1.6 Division with Whole Numbers 33 41 55 1.7 Exponents, Order of Operations, and Averages 1.8 Area and Volume 25 67 81 Summary 91 Review 93 Test 97 Projects 99 A Glimpse of Algebra 101 Fractions and Mixed Numbers 105 Introduction 105 2.1 The Meaning and Properties of Fractions 107 2.2 Prime Numbers, Factors, and Reducing to Lowest Terms 119 2.3 Multiplication with Fractions, and the Area of a Triangle 127 2.4 Division with Fractions 139 2.5 Addition and Subtraction with Fractions 2.6 Mixed-Number Notation 147 159 2.7 Multiplication and Division with Mixed Numbers 2.8 Addition and Subtraction with Mixed Numbers 165 171 2.9 Combinations of Operations and Complex Fractions 179 Summary 187 Review 191 Cumulative Review 193 Test 195 Projects 197 A Glimpse of Algebra 199 v www.TechnicalBooksPDF.com vi Contents Decimals 203 Introduction 203 3.1 Decimal Notation and Place Value 205 3.2 Addition and Subtraction with Decimals 213 3.3 Multiplication with Decimals, Circumference and Area of a Circle 3.4 Division with Decimals 221 233 3.5 Fractions and Decimals, and the Volume of a Sphere 3.6 Square Roots and the Pythagorean Theorem 245 257 Summary 265 Review 267 Cumulative Review 268 Test 270 Projects 271 A Glimpse of Algebra 273 Ratio and Proportion 277 Introduction 277 4.1 Ratios 279 4.2 Rates and Unit Pricing 287 4.3 Solving Equations by Division 4.4 Proportions 293 297 4.5 Applications of Proportions 4.6 Similar Figures 303 309 Summary 317 Review 319 Cumulative Review 321 Test 323 Projects 325 A Glimpse of Algebra 327 www.TechnicalBooksPDF.com Contents Percent 331 Introduction 331 5.1 Percents, Decimals, and Fractions 5.2 Basic Percent Problems 333 343 5.3 General Applications of Percent 5.4 Sales Tax and Commission 353 359 5.5 Percent Increase or Decrease and Discount 5.6 Interest 367 375 5.7 Pie Charts 383 Summary 391 Review 393 Cumulative Review 395 Test 397 Projects 399 A Glimpse of Algebra 401 Measurement 405 Introduction 405 6.1 Unit Analysis I: Length 407 6.2 Unit Analysis II: Area and Volume 417 6.3 Unit Analysis III: Weight 427 6.4 Converting Between the Two Systems and Temperature 6.5 Operations with Time and Mixed Units 433 441 Summary 447 Review 451 Cumulative Review 453 Test 454 Projects 455 www.TechnicalBooksPDF.com vii viii Contents Introduction to Algebra 457 Introduction 457 7.1 Positive and Negative Numbers 7.2 Addition with Negative Numbers 459 469 7.3 Subtraction with Negative Numbers 479 7.4 Multiplication with Negative Numbers 7.5 Division with Negative Numbers 7.6 Simplifying Algebraic Expressions 489 497 503 Summary 509 Review 511 Cumulative Review 513 Test 515 Projects 517 Solving Equations 519 Introduction 519 8.1 The Distributive Property and Algebraic Expressions 8.2 The Addition Property of Equality 533 8.3 The Multiplication Property of Equality 8.4 Linear Equations in One Variable 8.5 Applications 521 541 549 557 8.6 Evaluating Formulas 569 Summary 579 Review 581 Cumulative Review 582 Test 584 Projects 585 Appendix A – Resources 587 Appendix B – One Hundred Addition Facts 588 Appendix C – One Hundred Multiplication Facts 589 Solutions to Selected Practice Problems S-1 Answers to Odd-Numbered Problems A-1 Index I-1 www.TechnicalBooksPDF.com A-4 Answers to Odd-Numbered Problems Chapter Getting Ready for Chapter a Ͼ b Ͼ c Ͻ d Ͼ 10 16 23 13 201 R 14 507 R 10 15 (2 ϩ 3) ؒ 16 22 ؒ 33 16 24 101 10 11 R 12 R 16 Problem Set 2.1 1 x 19 True 120a 24a 11 13 12 43 47 25 ᎏᎏ 16 1 8 15 16 Denominator a b ᎏᎏ ᎏᎏ x y x ᎏᎏ y xϩ1 x xϩ1 ᎏᎏ x 29 ᎏᎏ 47 20 31 ᎏᎏ 49 25 33 ᎏᎏ 51 37 10 12 ᎏᎏ 35 ᎏᎏ 53 a 10 17 ᎏᎏ, ᎏᎏ, ᎏᎏ Fraction a ᎏᎏ b 12 c ᎏᎏ b ᎏᎏ 48a 24a 2x 12x 37 ᎏᎏ 41 ᎏ 39 ᎏᎏ d ᎏᎏ 12 67 ᎏ inch 65 ᎏᎏᎏ ᎏ Ͻ ᎏᎏᎏᎏ ᎏ Ͻ ᎏᎏᎏ ᎏ Ͻ ᎏᎏᎏᎏ ᎏᎏ 25 to times a day 47 ᎏᎏ 100 to 10 times a day ᎏᎏ 25 more than 10 times a day ᎏᎏ 20 83 108 85 60 87 311 500 89 19 33 73 ᎏ 71 ᎏᎏ Fraction of Respondents Saying Yes never 81 a Numerator 13 17 27 ᎏᎏ 31 16 15 How Often Workers Send Non-Work-Related E-Mail From the Office 79 d 15 Answers will vary 45 69 23 ᎏᎏ 21 False 43 ᎏ 55.–63 a 91 90 360 75 ᎏ 93 51 45 360 180 360 270 360 77 a ᎏ b ᎏ c ᎏ d ᎏ 95 23 97 32 99 16 101 18 Problem Set 2.2 Prime 17 45 55 ᎏᎏ 17 ᎏᎏ 19 ᎏᎏ 16 Composite; 3, 5, and are factors 19 ᎏᎏ 21 14 33 ᎏᎏ 23 ᎏᎏ a ᎏᎏ 17 47 ᎏᎏ 49 57.–59 = = = = 16 = 25 26 b ᎏᎏ c 16 53 71 ᎏᎏ 95 73 ᎏᎏ ᎏᎏ 11 = = 10 = 20 16 12 75 77 45 Composite; is a factor 27 ᎏ ᎏᎏ d ᎏᎏ 28 = 24 16 29 ᎏᎏ e ᎏᎏ 19 31 ᎏᎏ 33 45 51 a ᎏᎏ b 106 115 61 ᎏ 63 ᎏᎏ Prime ᎏᎏ ᎏᎏ 30 35 ᎏᎏ 18 15 ᎏᎏ 27 ᎏᎏ 37 15 67 ᎏᎏ 25 65 ᎏ 13 ؒ 43 11 34 11 ᎏᎏ 39 10 ᎏᎏ 41 c ᎏᎏ d ᎏᎏ e ᎏᎏ 15 ؒ ᎏᎏ = 79 25 81 22 ؒ ؒ 83 22 ؒ ؒ 85 9 1 24 11 ᎏᎏ 24 125 13 ᎏᎏ 105 15 ᎏ www.TechnicalBooksPDF.com 87 25 53 a ᎏᎏ b ᎏᎏ c 37 70 69 ᎏ 89 12 91 18 42 55 ᎏᎏ 43 ᎏᎏ Problem Set 2.3 ᎏᎏ 22 ؒ 93 42 A-5 Answers to Odd-Numbered Problems 17 19 First Number x Second Number y Their Product xy ᎏᎏ ᎏ 30 15 ᎏ ᎏᎏ ᎏ 30 ᎏ 4 ᎏ ᎏᎏ ᎏ 30 5 ᎏ a a ᎏ ᎏᎏ ᎏ 15 30 First Number x Second Number y Their Product xy ᎏ 2 ᎏ ᎏ 21 ᎏᎏ 23 25 47 49 51 ᎏᎏ; numerator should be 3, not 53 a 15 29 ᎏᎏ 27 16 31 ᎏᎏ 33 ᎏᎏ 27 35 ᎏᎏ 37 ᎏᎏ 39 ᎏᎏ 100 41 ᎏᎏ 43 3 10 Number x Square x2 16 25 36 49 64 b Either larger or greater will work 55 133 in2 59 yd2 61 138 in2 63 a ᎏᎏ in b ᎏᎏ in c in 65 126,500 ft3 10 Canada: Ͼ 1,668,000 Venezuela: 1,251,000 Iraq: Ͻ 834,000 73 ᎏᎏ 75 ᎏᎏ 27 27 89 91 ᎏᎏ 93 100 95 97 18 99 ᎏᎏ 57 ᎏᎏ ft2 67 About million 71 77 87 45 24 79 81 69 846 83 Problem Set 2.4 15 ᎏᎏ ᎏᎏ 27 ᎏᎏ 5 15 22 31 ᎏᎏ 29 33 ᎏᎏ 51 Ϭ ᎏᎏ ϭ ؒ ᎏᎏ ϭ ؒ 63 ᎏᎏ 83 65 ᎏᎏ 67 ᎏᎏ 200 69 Number ᎏ 12 49 64 13 ᎏᎏ 10 37 ᎏᎏ 35 40 53 490 feet ᎏ 12 11 39 13 55 14 blankets 71 14 ᎏ 30 73 15 ᎏᎏ 41 12 57 18 ᎏ 30 43 186 ᎏ 24 77 18 ᎏᎏ 23 ᎏᎏ 21 45 646 47 61 20 lots 15 36 79 ᎏ 36 81 ᎏ 85 b Rounded to the Nearest Ten 19 ᎏᎏ 59 28 cartons 12 ᎏ 24 75 15 16 17 ᎏᎏ Hundred Thousand 74 70 100 747 750 700 1,000 474 470 500 Problem Set 2.5 ᎏᎏ 17 ᎏᎏ ᎏᎏ ᎏᎏ ᎏᎏ xϩ6 11 ᎏᎏ First Number a Second Number b The Sum of a and b a؉b ᎏ ᎏ ᎏ 13 ᎏᎏ 19 10 15 ᎏᎏ First Number a Second Number b The Sum of a and b a؉b ᎏᎏ ᎏ 12 ᎏ ᎏᎏ 12 ᎏ ᎏᎏ 12 ᎏ 12 ᎏ ᎏᎏ 12 ᎏ ᎏ ᎏᎏ 20 ᎏ 12 ᎏ 4 ᎏ ᎏ ϭ ᎏᎏ 12 ᎏ ᎏ 11 ᎏᎏ 30 ᎏ 12 ᎏ ᎏ ᎏ ϭ ᎏᎏ 12 www.TechnicalBooksPDF.com 25 ᎏᎏ 49 40 85 A-6 Answers to Odd-Numbered Problems 13 ᎏᎏ 420 21 ᎏᎏ 45 23 ᎏᎏ 41 24 47 ᎏᎏ 55 ᎏᎏ 75 ᎏᎏ 97 ᎏᎏ 33 ᎏᎏ 53 ᎏᎏ 95 ᎏᎏ 19 24 31 ᎏ 88 51 ᎏᎏ 73 ᎏᎏ hours 17 93 ᎏᎏ 29 ᎏ 71 ᎏ 11 91 ᎏᎏ 53 60 49 ᎏᎏ 10 20 27 ᎏᎏ 61 400 69 ᎏᎏ pints 8 25 ᎏᎏ 57 ᎏᎏ 37 ᎏᎏ 31 100 59 19 61 3 77 10 lots 99 R 13 60 35 ᎏᎏ 67 144 160 ᎏᎏ 63 39 ᎏᎏ 63 81 ᎏᎏ ft 83 ᎏᎏ 85 10 105 107 109 103 ᎏᎏ 949 1,260 43 ᎏᎏ 20 65 ᎏᎏ 79 ᎏᎏ in 101 R 16 29 35 41 ᎏᎏ 67 ᎏᎏ inch 16 89 ᎏᎏ 87 59 15 22 111 ᎏᎏ 113 ᎏᎏ Problem Set 2.6 14 11 ᎏᎏ 21 37 27 ᎏᎏ ᎏᎏ 25 13 ᎏᎏ 47 ᎏᎏ 104 21 ᎏᎏ 14 ᎏᎏ 40 29 ᎏᎏ 427 33 32 35 ᎏᎏ 35 11 ᎏᎏ 31 ᎏᎏ 33 ᎏᎏ ᎏᎏ 13 1ᎏᎏ 37 4 ᎏᎏ 5 15 4ᎏᎏ 39 17 4ᎏᎏ 41 27 19 3ᎏᎏ 15 21 4ᎏᎏ 23 28ᎏᎏ 43 98 Problem Set 2.7 10 3ᎏᎏ 2ᎏᎏ 93 100 7ᎏᎏ 5ᎏᎏ 13ᎏᎏ 6ᎏᎏ 27 29 31 33 45 $2,516 ᎏ 9ᎏᎏ 11 3ᎏᎏ 35 5ᎏᎏ cups 20 13 12ᎏᎏ 32 45 15 9ᎏᎏ 17 ᎏᎏ 37 1ᎏᎏ 19 1ᎏᎏ 39 2,687ᎏᎏ cents 41 163ᎏᎏ mi 10 23 4ᎏᎏ 21 10 25 ᎏᎏ 758 43 ᎏ shares 1,207 47 182 ᎏ ft2 11 ᎏᎏ 13 5ᎏᎏ 49 ᎏ mi2 16 16 1 51 Can contains 157ᎏᎏ calories, whereas Can contains 87ᎏᎏ calories Can contains 70 more calories than Can 2 53 Can contains 1,960 milligrams of sodium, whereas Can contains 1,050 milligrams of sodium Can contains 910 more milligrams of sodium than Can 10 15 15 15 15 20 55 a ᎏᎏ b ᎏᎏ c ᎏᎏ d ᎏᎏ 12 20 18 20 20 57 a ᎏᎏ b ᎏᎏ c ᎏᎏ d ᎏᎏ 13 15 61 ᎏᎏ = 1ᎏᎏ 14 12 17 26ᎏᎏ 59 ᎏᎏ 14 63 ᎏᎏ 65 ᎏᎏ 16 67 2ᎏᎏ 69 3ᎏᎏ Problem Set 2.8 5 19 12 12 17 29 2ᎏᎏ 31 21ᎏᎏ 33 37 14 39 17 41 24ᎏᎏ 43 27ᎏᎏ 10ᎏᎏ 15 15 20 24 11 11 19 13 1 53 1ᎏᎏ 55 3ᎏᎏ 57 5ᎏᎏ 61 ᎏᎏ 63 3ᎏᎏ 65 $2ᎏᎏ 67 $250 ᎏᎏ 12 12 20 24 2 2 a NFL: P ϭ 306ᎏᎏ yd; Canadian: P ϭ 350 yd; Arena: P ϭ 156ᎏᎏ yd 3 b NFL: A ϭ 5,333 ᎏᎏ sq yd; Canadian: A ϭ 7,150 sq yd; Arena: A ϭ 1,416ᎏᎏ sq yd 3 63 11 31ᎏᎏ in 75 4ᎏᎏ 77 79 ᎏᎏ ϭ 1ᎏᎏ 81 3ᎏᎏ 83 17 85 14 87 104 89 96 64 8 29 5ᎏᎏ 97 34ᎏᎏ 40 5ᎏᎏ 27 51 71 73 95 12ᎏᎏ 3ᎏᎏ Problem Set 2.9 29 53 ᎏᎏ 5ᎏᎏ 5 31 ᎏᎏ 11 17 ᎏᎏ 28 ᎏᎏ 35 33 55 8 1ᎏᎏ 12 35 57 miles2 35 18ᎏᎏ 10 59 5ᎏᎏ 37 1ᎏᎏ 16 115ᎏᎏ yd 11 8ᎏᎏ 59 12 11 14ᎏᎏ 13 4ᎏᎏ 11 36 13 39 ᎏᎏ 22 61 ᎏᎏ 13 ᎏᎏ 15 2ᎏᎏ ᎏᎏ 22 15 3ᎏᎏ 41 15 ᎏᎏ 16 17 6ᎏᎏ 43 63 ᎏᎏ 12 1ᎏᎏ 17 19 4ᎏᎏ 45 47 7 9ᎏᎏ 10 5ᎏᎏ 23 8ᎏᎏ 25 3ᎏᎏ 45 47 49 69 $300 ᎏᎏ 29 21 ᎏᎏ 6ᎏᎏ 21 2ᎏᎏ 93 3ᎏᎏ 91 40 10 23 ᎏᎏ 49 25 1ᎏᎏ 34 1ᎏᎏ 67 51 27 346 ᎏᎏ 441 65 ᎏᎏ 67 9ᎏᎏ Chapter Review 11 ᎏᎏ ᎏᎏ 29 11ᎏᎏ 21 31 ᎏᎏ 1 33 ᎏᎏ ᎏᎏ 11 ᎏᎏ 35 20 items 13 ᎏᎏ 15 ᎏᎏ 39 1ᎏᎏ cups 37 29 19 ᎏᎏ 36 10ᎏᎏ tablespoons 17 ᎏᎏ 41 11 25 12 27 17ᎏᎏ 13 12 Area ϭ 25ᎏᎏ ft2; perimeter ϭ 28 ft 21 3ᎏᎏ 43 23 ᎏᎏ Chapter Cumulative Review 17 27 55 ᎏᎏ 36 1844 29 19 2ᎏᎏ 36 ᎏ1ᎏ ᎏ3ᎏ 31 192 in 137,280 33 16 5ᎏᎏ 19 11 354 35 ᎏᎏ 37 13 ᎏ2ᎏ 46 ᎏᎏ ϭ 1ᎏᎏ 45 45 15 25 17 39 70 pictures www.TechnicalBooksPDF.com 19 ᎏ1ᎏ 21 1 23 ᎏ8ᎏ 125 25 14ᎏ7ᎏ 12 A-7 Answers to Odd-Numbered Problems Chapter Test 13 a ᎏᎏ b ᎏᎏ [2.2C] [2.1C] 10 ᎏᎏ [2.4A] ᎏᎏ [2.5A] 23 ᎏᎏ [2.5A] 2 47 36 10 ᎏᎏ [2.5B] 16 9ᎏᎏ [2.8A] 13 8ᎏᎏ [2.6B] 19 9ᎏᎏ [2.9A] 15 12 ᎏᎏ [2.6A] 11 12 18 16ᎏᎏ [2.9A] 23 9ᎏᎏ cups [2.7C] 37 11 ᎏᎏ [2.5B] 17 3ᎏᎏ [2.8B] 22 27ᎏᎏ in [2.8C] 21 40 grapefruit [2.2D] 10 ᎏᎏ [2.5B] 17 24 15 ᎏᎏ [2.7B] 14 26 [2.6D] 27 ᎏᎏ [2.4A] – – – – 8 35 ᎏᎏ [2.3A] 18 [2.7A] 20 ᎏᎏ [2.9B] 24 3ᎏᎏ ft [2.7C] 25 Area ϭ 23ᎏᎏ ft2; perimeter ϭ 23ᎏᎏ ft A Glimpse of Algebra xϩ3 12 ϩ x 21 ᎏᎏ ᎏᎏ xϩ2 7x ᎏᎏ ᎏᎏ x 10 Ϫ x 28 Ϫ a 23 ᎏᎏ 25 ᎏᎏ 3x ϩ ϩ 2a 27 ᎏᎏ ᎏᎏ ᎏᎏ 2x Ϫ 8x ϩ 29 ᎏᎏ x 11 ᎏᎏ 12x ϩ 3x 4x 2x Ϫ 31 ᎏᎏ x 4x Ϫ 5x 4x ϩ 33 ᎏᎏ 13 ᎏᎏ 7x ϩ 24 12x 11x 35 ᎏᎏ 15 ᎏᎏ 3x ϩ 4x 17 ᎏᎏ 19 ᎏᎏ 3a 37 ᎏᎏ 5x 39 ᎏᎏ Chapter Getting Ready for Chapter 407,927 25,576 436 663 41 12 ᎏᎏ 13 ᎏᎏ 14 1ᎏᎏ 15 9,200 16 10 132,980 728 12,768 19 16 ᎏᎏ 17 ؒ 18 22 ؒ 32 ؒ 64 96 1,848 Fifteen thousandths 234 305 15 ᎏᎏ 1,000 100,000 11.11 33 100.02 1 45 ᎏᎏ 47 ᎏᎏ ᎏᎏ 8 13 1ᎏᎏ 31 43 Three and four tenths 17 Tens 19 Tenths ᎏᎏ 49 51 9.99 Fifty-two and seven tenths 21 Hundred thousandths 37 a Ͻ b Ͼ 35 3,000.003 11 74 50 Problem Set 3.1 Three tenths 10 298 R 14 23 Ones 25 36 11 9ᎏᎏ 100 1,000 Hundreds 27 0.55 29 6.9 405ᎏᎏ 39 0.002 0.005 0.02 0.025 0.05 0.052 53 10.05 55 0.05 41 7.451, 7.54 57 0.01 Rounded to the Nearest Number Whole Number 47.5479 59 0.8175 61 0.1562 63 65 2,789.3241 67 99.9999 69 Hundredths 71 Tenth Thousandth 48 47.5 47.55 47.548 0.8 0.82 0.818 0.2 0.16 0.156 2,789 2,789.3 2,789.32 2,789.324 100 100.0 100.00 100.000 73 Three and eleven hundredths; two and five tenths PRICE OF GALLON OF REGULAR GASOLINE Date Price (Dollars) 5/5/08 5/12/08 5/19/08 5/26/08 3.903 3.919 3.952 4.099 31 100 77 6ᎏᎏ 75 Fifteen hundredths Hundredth 23 50 79 6ᎏᎏ 123 1,000 81 18ᎏᎏ 16 10 83 ᎏᎏ Ͻ ᎏᎏ Ͻ ᎏᎏ Ͻ ᎏᎏ 85 Ͻ 87 Ͼ Problem Set 3.2 6.19 1.13 6.29 9.042 8.021 11 11.7843 13 24.343 15 24.111 17 258.5414 19 666.66 21 11.11 23 3.57 25 4.22 27 120.41 29 44.933 31 7.673 33 530.865 35 27.89 37 35.64 39 411.438 41 43 45 3.1 47 5.9 49 3.272 51 4.001 53 1.47 seconds 55 $1,571.10 57 4.5 in 59 $5.43 61 6.42 sec 75 1,400 ᎏᎏ 20 77 79 63 in 147 ᎏᎏ 1,00 65 $3.25; three $1 bills and a quarter 81 132,980 83 2,115 85 12 67 3.25 87 16 www.TechnicalBooksPDF.com 89 20 100 69 ᎏᎏ 91 68 51 10,000 71 ᎏᎏ 73 1ᎏᎏ A-8 Answers to Odd-Numbered Problems Problem Set 3.3 0.28 0.028 0.0027 0.78 0.792 11 0.0156 13 24.29821 15 0.03 17 187.85 19 0.002 21 27.96 23 0.43 25 49,940 27 9,876,540 29 1.89 31 0.0025 33 5.1106 35 7.3485 37 4.4 39 2.074 41 3.58 43 187.4 45 116.64 47 20.75 49 371.34 meters 51 0.126 53 Moves it two places to the right 55 $1,381.38 57 a 83.21 mm b 551.27 mm2 c 1,102.53 mm3 59 1.18 in2 61 C ϭ 25.12 in.; A ϭ 50.24 in2 63 C ϭ 24,492 mi 65 168 in 67 100.48 ft3 69 50.24 ft3 71 1,879 73 1,516 R 75 298 77 34.8 79 49.896 10 5 83 ᎏᎏ Ͻ ᎏᎏ Ͻ ᎏᎏ Ͻ ᎏᎏ 81 825 25 12 85 ᎏᎏ Ͻ 1ᎏᎏ Ͻ 1ᎏᎏ Ͻ ᎏᎏ 87 No Problem Set 3.4 19.7 6.2 5.2 11.04 4.8 11 9.7 13 2.63 15 4.24 17 2.55 19 1.35 21 6.5 23 9.9 25 0.05 27 89 29 2.2 31 1.35 33 16.97 35 0.25 37 2.71 39 11.69 41 3.98 43 5.98 45 0.77778 47 307.20607 49 0.70945 51 3,472 square miles 53 7.5 mi 55 $6.65/hr 57 22.4 mi 59 hr 61 63 Rank Name Number of Events Total Earnings Lorena Ochoa Annika Sorenstam Paula Creamer Seon Hwa Lee Jeong Jang 25 13 24 28 27 $1,838,616 $1,295,585 $891,804 $656,313 $642,320 65 2.73 67 0.13 89 0.875 81 19 3 69 ᎏᎏ 93 71 ᎏᎏ 19 50 73 ᎏᎏ Average per Event $73,545 $99,660 $37,159 $23,440 $23,790 10 75 ᎏᎏ 60 100 77 ᎏᎏ 12 15 79 ᎏᎏ 81 ᎏᎏ 60 15 83 ᎏᎏ 18 15 85 ᎏᎏ 87 0.75 Problem Set 3.5 0.125 0.625 Fraction ᎏ Decimal 0.25 15 0.27 21 ᎏ ᎏ 4 ᎏ 0.5 0.75 17 0.09 Decimal 0.125 Fraction ᎏᎏ ᎏ Fraction ᎏ ෆ 0.3 ෆ Decimal 0.16 ᎏ ᎏ 0.250 ᎏᎏ 0.375 ᎏᎏ 0.500 ᎏᎏ 41 0.3 0.750 ᎏᎏ 43 0.072 0.875 ᎏᎏ 45 0.8 0.48 ᎏ 20 25 23 ᎏᎏ Gain ($) Monday, March 6, 2008 Tuesday, March 7, 2008 Wednesday, March 8, 2008 Thursday, March 9, 2008 Friday, March 10, 2008 69 226.1 ft3 13 0.92 47 27 ᎏᎏ 10 5 51 ᎏ ϭ 4ᎏᎏ 49 0.25 50 29 5ᎏᎏ 31 5ᎏᎏ 11 50 33 1ᎏᎏ 53 $16.22 61 104.625 calories 63 $10.38 As a Decimal ($) (To the Nearest hundredth) ᎏᎏ ᎏᎏ 16 ᎏᎏ 32 ᎏᎏ 32 ᎏᎏ 16 71 22.28 in2 11 0.4375 25 ᎏᎏ CHANGE IN STOCK PRICE Date 67 33.49 m3 87 20,675 0.625 ᎏᎏ ᎏ ෆ 0.83 ෆ 0.5 0.6 19 0.28 35 2.4 37 3.98 39 3.02 55 $52.66 57 in 59 65 Yes 85 852 0.75 0.56 0.09 0.22 0.06 81 73 ᎏᎏ 25 36 75 ᎏᎏ 77 0.25 79 1.44 81 25 Problem Set 3.6 9 15 11 48 13 45 15 48 17 15 19 21 78 23 25 31 True 33 10 in 35 13 ft 37 6.40 in 39 17.49 m 41 1.1180 43 11.1803 45 3.46 51 0.58 53 12.124 55 9.327 57 12.124 59 12.124 61 6.7 miles 63 30 ft 65 25 ft 71 25 и 73 25 и 75 и 10 77 79 и 81 и 83 ᎏᎏ 85 9ᎏᎏ 87 89 www.TechnicalBooksPDF.com 25 ᎏᎏ 47 67 2ᎏᎏ 83 100 11.18 miles 91 ᎏᎏ 16 27 ᎏᎏ 29 False 49 0.58 69 16 и 93 19 A-9 Answers to Odd-Numbered Problems Chapter Review Thousandths 37.0042 21 2.42 23 79 25 15 98.77 27 47 5.816 36.381 11 7.65 13 7.09 141 200 19 14ᎏᎏ 17 ᎏᎏ 15 0.875 Chapter Cumulative Review 4,079 16,072 6.22 23 0.94 25 14ᎏᎏ 27 10 in ᎏ1ᎏ 55.728 11 15ᎏ3ᎏ 13 20 17 3(13 ϩ 4) ϭ 51 15 21 ᎏ7ᎏ 19 False 29 $9.60 Chapter Test Five and fifty-three thousandths [3.1B] 6.056 [3.2A] 35.568 [3.3A] 13 17.129 [3.6A] Thousandths [3.1A] 8.72 [3.4A] 14 0.26 [3.6A] 17.0406 [3.1A] 0.92 [3.1C] 15 36 [3.9A] 16 10 ᎏᎏ [3.8A] 46.75 [3.1D] 14 ᎏᎏ [3.1C] 25 8.18 [3.2A] 11 14.664 [3.6A] 17 $11.53 [3.2B] 12 4.69 [3.6A] 18 $24.47 [3.3B] 19 $6.55 [3.3B] 20 in A Glimpse of Algebra 6x ϩ 9x ϩ 5a ϩ 9x ϩ 5y3 ϩ 5y2 ϩ 9y ϩ 6x ϩ 4x ϩ 11 3a2 ϩ 7a ϩ 13 5x ϩ 7x ϩ 16x ϩ 13 Chapter Getting Ready for Chapter 3 ᎏᎏ ᎏᎏ 14 2 0.25 15 8.7 0.125 65 1.2 297.5 10 12 11 62.5 12 0.695 13 3.98 16 6.5 Section 4.1 11 ᎏᎏ 14 ᎏᎏ 27 39 18 16 ᎏᎏ 20 mg 29 ᎏ mL ᎏᎏ 41 62.5 ᎏᎏ 75 mg ᎏ 33 mL ᎏᎏ 31 43 0.615 13 ᎏᎏ 11 ᎏᎏ a 45 176 13 ᎏᎏ b ᎏᎏ c ᎏᎏ d 47 184 13 ᎏᎏ 15 ᎏᎏ 49 0.087 1 ᎏᎏ 51 0.048 53 17 ᎏᎏ 19 ᎏᎏ 35 a ᎏᎏ b 10 25 4 c ᎏᎏ d ᎏᎏ e ᎏᎏ 1 11 ᎏᎏ 55 ᎏᎏ ϭ 5ᎏᎏ 2 21 ᎏᎏ 23 ᎏᎏ 44 ᎏ 39 ᎏ ᎏ 25 a ᎏᎏ b ᎏᎏ c ᎏᎏ 37 a 14 57 ᎏᎏ b c 59 96 Section 4.2 13 The Midwest 15 480 mL/hr 19 34.7¢ per diaper, 31.6¢ per diaper; Happy Baby 21 $1.00 ϭ 0.646 Euros 23 $1.00 ϭ 0.509 pounds 4.95¢ per oz 27 54.03 mi/hr 29 9.3 mi/gal 31 $64 33 $16,000 35 n ϭ The 18 oz box is the best buy at $0.277 per ounce 1 11 nϭ4 39 n ϭ 41 n ϭ 65 43 ᎏᎏ 45 ᎏᎏ 47 ᎏᎏ 49 ᎏᎏ ϭ 1ᎏᎏ 51 The 100 ounce size is the better value 40 60 6 55 mi/hr 17 25 37 84 km/hr 0.2 gal/sec 14 L/min 19 mi/gal 11 4ᎏᎏ mi/L Problem Set 4.3 n y 11 n ϭ 13 x ϭ 15 y ϭ 17 n ϭ 19 a ϭ 21 x ϭ 1 29 x ϭ 31 n ϭ 33 y ϭ 35 y ϭ 37 n ϭ 3ᎏᎏ 39 x ϭ 3ᎏᎏ 41 a ϭ 2ᎏᎏ 35 18 14 25 a ϭ 27 n ϭ 45 y ϭ ᎏ1ᎏ 13 67 2ᎏ2ᎏ 47 x ϭ 2ᎏ1ᎏ 49 n ϭ 1ᎏ1ᎏ 69 1ᎏ3ᎏ 4 51 ᎏᎏ 53 1.2 55 6.5 57 0.75 59 5.5 61 0.03 23 y ϭ 43 y ϭ ᎏᎏ 63 0.375 7 65 ᎏ1ᎏ 50 71 ᎏᎏ Section 4.4 14 Means: 3, 5; extremes: 1, 15; products: 15 Means: 25, 2; extremes: 10, 5; products: 50 Means: ᎏᎏ, 4; extremes: ᎏᎏ, 6; products: Means: 5, 1; extremes: 0.5, 10; products: 27 50 29 108 31 33 35 ᎏᎏ 51 53 Tens 55 26.516 57 0.39 12 10 10 11 ᎏᎏ 13 ᎏᎏ 15 ᎏᎏ 17 19 37 108 39 65 41 41 43 108 45 20 21 18 23 47 297.5 49 450 25 40 Section 4.5 329 mi 360 points 15 pt 427.5 mi 900 eggs 11 35 mg/pill 17 435 in ϭ 36.25 ft 19 $313.50 21 265 g 23 91.3 L 25 60,113 people 31 15 mL 33 900 mg/day 35 37 147 39 20 41 147 43 1.35 www.TechnicalBooksPDF.com 13 5.5 mL 15 2.5 tablets 27 78 teachers 29 850 meters 45 3.816 47 49 160 51 183.79 A-10 Answers to Odd-Numbered Problems Section 4.6 14 12 25 32 11 13 E D 15 F F 17 19 45 in 21 960 pixels 23 1,440 pixels 25 57 ft G H G F 27 177 ft 29 13.99 31 40.999 33 0.10545 1 41 a ᎏᎏ b 18 rectangles should be shaded c ᎏᎏ 37 4ᎏᎏ 35 18 39 Chapter Review 3 1 ᎏᎏ ᎏᎏ ᎏᎏ ᎏᎏ 11 ᎏᎏ 13 ᎏᎏ 15 19 mi/gal 10 9.05¢/ounce; 8.41¢/ounce; 32-ounce carton is the better buy 19 49 31 160 ᎏᎏ 17 29 10 21 ᎏᎏ 23 1,500 mL 25 weeks 27 tablets Chapter Cumulative Review 25 10,522 18 506ᎏᎏ 47 74 11 310 13 71.48 15 4.5 17 80 19 ᎏᎏ 21 0.94 31 42 25 P ϭ 42 in.; A ϭ 72 in [1.2D, 1.8B] 27 a 18.84 ft b 565.2 ft [4.5C] 29 20 women [6.1B] 31 97 mi [1.7D] 33 8.5¢/ounce; 13.5¢/ounce; 72-ounce carton is the better buy [6.2C] 23 25 Chapter Test 3 24 ᎏᎏ [4.1A] ᎏᎏ [4.1A] ᎏᎏ [4.1A] ᎏᎏ [4.1A] ᎏᎏ [4.1A] ᎏᎏ [4.1B] ᎏᎏ [4.1B] 23 mi/gal [4.2A] 10 10 5 25 16-ounce can: 16.2¢/ounce; 12-ounce can: 15.8¢/ounce; 12-ounce can is the better buy [4.2C] 10 36 [4.3B] 11 [4.3B] 12 24 hits [4.4A] 13 135 mi [4.4A] 14 a LGB b twice as large [4.5B] 15 h ϭ 16 [4.5A] 16 h ϭ 300 [4.5B] 17 27 mg 18 33.15 mg A Glimpse of Algebra x ϩ 6x ϩ 6x ϩ 13x ϩ 21x ϩ 34x ϩ x ϩ 7x ϩ 10 2x ϩ 11x ϩ 12 13 9x ϩ 12x ϩ 15 4a2 ϩ 9a ϩ 17 42y ϩ 111y ϩ 72 19 ϩ 24x ϩ 18x 11 14x ϩ 41x ϩ 15 Chapter Getting Ready for Chapter 141.44 200 13 ᎏᎏ 225 65 14 ᎏᎏ 15 0.375 13 40 0.416 ෆ ᎏᎏ 1,477,432 16 20 489 17 2.5 18 62.5 9.45 0.352 19 15,300 0.0362 10 117.2 11 25 12 ᎏᎏ 20 2,976.74 Section 5.1 20 100 45% ᎏᎏ 16 65 0.23 11 0.92 13 0.09 15 0.034 17 0.0634 19 0.009 21 23% 23 92% 100 3 53 7,187 29 31 80% 33 27% 35 123% 37 ᎏᎏ 39 ᎏᎏ 41 ᎏᎏ 43 ᎏᎏ 45 ᎏᎏ 47 ᎏᎏ 25 200 10,000 400 53 50% 55 75% 57 33ᎏᎏ% 59 80% 61 87.5% 63 14% 65 325% 67 150% 69 48.8% 27 3 a 0.506 b 0.527 c 0.537 73 a ᎏ , ᎏ , ᎏ , ᎏ b 0.54, 0.28, 0.15, 0.03 c About two times as likely 75 78.4% 50 25 20 100 81 18.5 83 10.875 85 0.5 87 62.5 89 0.5 91 0.125 93 0.625 95 0.0625 11.8% 79 72.2% 99 101 103 105 0.3125 ᎏᎏ 25 49 71 77 97 60 100 27 3% 51 ᎏᎏ 3 ᎏᎏ 24 100 60% ᎏᎏ ᎏᎏ Section 5.2 24 20.52 7.37 27 120 29 13.72 31 22.5 50% 11 10% 13 25% 15 75% 17 64 19 50 21 925 33 50% 35 942.684 37 97.8 39 What number is 25% of 350? www.TechnicalBooksPDF.com 23 400 25 5.568 A-11 Answers to Odd-Numbered Problems 41 What percent of 24 is 16? 43 46 is 75% of what number? 45 4.8% calories from fat; healthy 47 50% calories from fat; not healthy 49 0.80 51 0.76 53 48 55 0.25 57 0.5 59 ᎏᎏ , ᎏᎏ , ᎏᎏ 8 1 65 0.75 67 0.125 69 0.375 71 ᎏᎏ , ᎏᎏ , ᎏᎏ , ᎏᎏ , ᎏᎏ , ᎏᎏ , ᎏᎏ 61 ᎏᎏ 63 0.25 8 8 Section 5.3 70% 84% 45 mL 18.2 acres for farming; 9.8 acres are not available for farming $11.20 11 Bush 286; Kerry 251 13 34,266,960 15 3,000 students 17 400 students 19 1,664 female students 23 50% 45 ᎏᎏ 25 About 19.2 million 47 39.4% 49 94 hits 27 33 29 8,685 31 136 33 0.05 35 15,300 37 0.15 39 21 31.25% ᎏᎏ 5 12 41 ᎏᎏ 43 ᎏᎏ 51 At least 16 hits Section 5.4 $52.50 $2.70; $47.70 $150; $156 5% $420.90 11 $2,820 13 $200 15 14% 17 26.9% 19 62.8 cents or $0.628% 21 $560 23 $11.93 25 4.5% 27 $3,995 29 1,100 31 75 33 0.16 35 39 415.8 2 41 ᎏᎏ 43 2ᎏᎏ 45 1ᎏᎏ 37 396 47 4ᎏᎏ Section 5.5 $24,610 $7,020 21 21.8 in to 23.2 in 37 10,456.78 $13,200 10% 20% 11 21% 13 $45; $255 23 $46,595.88 25 a 51.9% b 7.8% 27 140 29 39 2,140 41 3,210 43 12 45 ᎏᎏ 47 1ᎏᎏ 15 $381.60 31 152.25 17 13.9% 33 3,434.7 19 16% 35 10,150 49 Section 5.6 $2,160 $665 $8,560 $2,160 $5 11 $813.33 13 $406.34 21 a $13,468.55 b $13,488.50 c $12,820.37 d $12,833.59 23 30% 25 16ᎏᎏ% 15 $5,618 17 $8,407.56 27 108 29 162 31 3 1 16 64 37 ᎏᎏ 39 ᎏᎏ 41 ᎏᎏ ϭ 1ᎏᎏ 43 ᎏᎏ 45 1ᎏᎏ 47 ᎏᎏ 49 ᎏᎏ 51 $30.78 2 12 21 525 Percent increase in production cost: Star Wars to ϭ 63.6%; Star Wars to ϭ 80.6%; Star Wars to ϭ 253.8% 19 $974.59 33 35 ᎏᎏ 53 Section 5.7 41 38 100 41 240 people 31 31 50 19 960 people a ᎏᎏ b ᎏᎏ c ᎏᎏ d ᎏᎏ a b a 78% b 10% c 18% d 22% c 750 people d 1,800 people A 25% Bedrooms 37% Living Room 25% B 40% Bathrooms 8% C 35% Kitchen 17% Dining Room 13% 11 ᎏᎏ or 2ᎏᎏ 3 13 ᎏᎏ 40 15 73 13 ᎏᎏ or 3ᎏᎏ 20 20 Chapter Review 17 62 12 ᎏᎏ or 2ᎏᎏ 25 25 19 ᎏᎏ or 1ᎏᎏ 3 0.35 0.05 95% 49.5% ᎏᎏ 11 1ᎏᎏ 13 30% 15 66ᎏᎏ% 20 25 $477 27 $4.93 29 55.4% increase 31 $60; 20% off 33 $42 35 First 4% Business 18% Coach 78% www.TechnicalBooksPDF.com 17 16.8 19 50% 21 80 23 75% A-12 Answers to Odd-Numbered Problems Chapter Cumulative Review 7,714 25 67 45,084 27 20% 125 ᎏ ᎏ 33 29 47¢ 31 216 100°C 11 ᎏ1ᎏ 1.322 13 ᎏ2ᎏ 33 12.5% 15 42 24 17 19 ᎏ1ᎏ 37 P ϭ 34 in., A ϭ 72.25 in2 35 34 23 ᎏ2ᎏ 21 648 in2 50 39 $7 per hour Chapter Test 0.18 [5.1B] ᎏᎏ [5.1A] 200 16 92% [5.3A] 13 23 0.04 [5.1B] 0.005 [5.1B] 45% [5.1C] 70% [5.1C] 135% [5.1C] ᎏᎏ [5.1A] 1ᎏᎏ [5.1A] 20 50 10 35% [5.1E] 11 37.5% [5.1E] 12 175% [5.1E] 13 45 [5.2A] 14 45% [5.2A] 15 80 [5.2A] 17 $960 [5.4B] 18 $40; 16% off [5.5C] 19 $220.50 [5.4A] 20 $100 [5.6A] 21 $2,520 [5.6B] A Glimpse of Algebra 180 15 ᎏᎏ 20 17 13 13 22 23 13 ᎏᎏ ϭ 1ᎏᎏ 11 36 15 ᎏᎏ 17 140 19 25 21 23 25 21 Chapter Getting Ready for Chapter ᎏᎏ 12 0.4 ᎏᎏ 192 13 50 12,500 14 3.65 3,267,000 15 750 3,600 16 24 17 122 9.3375 18 38.9 2ᎏᎏ 190.4 19 0.75 10 0.025 11 450 20 Perimeter ϭ 120 in., Area ϭ 864 in2 Section 6.1 1 60 in 120 in ft 162 in 2ᎏᎏ ft 11 13,200 ft 13 1ᎏᎏ yd 15 1,800 cm 17 4,800 m 19 50 cm 21 0.248 km 23 670 mm 25 34.98 m 27 6.34 dm 29 5.3 miles 31 20 yd 33 80 in 35 244 cm 37 2,960 chains 39 120,000 m 41 7,920 ft 43 80.7 ft/sec 45 19.5 mi/hr 47 1,023 mi/hr 49 3,965,280 ft 51 179,352 in 53 2.7 mi 55 18,094,560 ft 57 144 59 61 1,000 63 3,267,000 65 67 0.4 69 405 1 71 450 73 45 75 2,200 77 607.5 79 ᎏᎏ 81 83 3ᎏᎏ 85 87 89 ᎏᎏ 2.5 ft step mi 5,280 ft 10 91 10,000 steps ؒ ᎏᎏ ؒ ᎏᎏ ϭ 4.7 mi Section 6.2 432 in2 ft2 1,306,800 ft2 1,280 acres mi2 11 108 ft2 13 1,700 mm2 15 28,000 cm2 2 17 0.0012 m 19 500 m 21 700 a 23 3.42 25 135 ft 27 48 fl oz 29 qt 31 20 pt 33 480 fl oz 35 gal 37 qt 39 yd3 41 5,000 mL 43 0.127 L 45 4,000,000 mL 47 14,920 L 49 2,177,280 acres 51 30 a 53 5,500 bricks 55 16 cups 57 34,560 in3 59 48 glasses 61 20,288,000 acres 63 3,230.93 mi2 17 65 23.35 gal 67 21,492 ft 69 192 71 6,000 73 300,000 75 12.5 77 ᎏᎏ 79 81 ᎏᎏ 83 ᎏᎏ 144 Section 6.3 128 oz 4,000 lb 12 lb 0.9 T 32,000 oz 11 56 oz 13 13,000 lb 15 2,000 g 17 40 mg 19 200,000 cg 21 508 cg 23 4.5 g 25 47.895 cg 27 1.578 g 29 0.42 kg 31 48 g 33 g 35 9.72 g 37 120 g 51 50 39 L 53 50 75 3.625 77 41 1.5 L 55 122 ᎏᎏ 79 6ᎏᎏ 43 0.561 grams 57 248 81 0.125 59 40 45 a capsules b capsule c capsules 50 61 ᎏᎏ 100 63 ᎏᎏ 65 ᎏᎏ 67 1ᎏᎏ 69 0.75 47 20.32 71 0.85 49 6.36 73 0.6 83 6.25 Section 6.4 15.24 cm 13.12 ft 6.56 yd 32,200 m 5.98 yd2 11 24.7 acres 13 8,195 mL 15 2.12 qt 17 75.8 L 19 339.6 g 21 33 lb 23 365°F 25 30°C 27 58°C 29 7.5 mL 31 3.94 in 33 7.62 m 35 46.23 L 37 17.67 oz 39 Answers will vary 41 91.46 m 43 20.90 m2 45 88.55 km/hr 47 2.03 m 49 38.3°C 51 75 53 82 55 3.25 57 22 59 41 61 48 63 195 65 3.25 67 $90 69 mean ϭ 8, range ϭ 71 mean ϭ 6, range ϭ 73 median ϭ 21, range ϭ 14 75 median ϭ 40, range ϭ 16 77 mode ϭ 14, range ϭ 79 a 73 b 71 c 70 d 23 81 381.8 mg/day; 1.52 mL/day www.TechnicalBooksPDF.com A-13 Answers to Odd-Numbered Problems Section 6.5 a 270 b 4.5 hr a 320 b 5.33 hr a 390 sec b 6.5 a 320 sec b 5.33 a 40 oz b 2.5 lb 11 a 76 oz b 4.75 lb 13 a 54 in b 4.5 ft 15 a 69 in b 5.75 ft 17 a qt b 2.25 gal 19 11 hr 21 22 ft in 23 11 lb 25 hr 40 27 hr 47 29 52 31 7.5 seconds 33 8:18:18; 9:08:01 35 00:06:15 37 $104 39 10 hr 41 $150 43 $6 45 47 1.79 sec CAFFEINE CONTENT IN SOFT DRINKS Drink Caffeine (In Milligrams) Jolt Mountain Dew Coca-Cola Diet Pepsi up 100 55 45 36 Chapter Review 144 in 0.49 in 435,600 ft2 576 in2 gal 11 128 oz 19 141.5 g 21 248°F 23 8.52 liters 25 4,383.23 mi2 27 402.5 km 35 322 km/hr 37 13 lb 13 5,000 g 15 10.16 cm 17 7.42 qt 29 600 bricks 31 80 glasses 33 117 mi/hr Chapter Cumulative Review 16,759 25 11.5 490ᎏ1ᎏ 12 21 32 27 72 in., 207 in2 29 47 38 31 1,788 11 13 13 11.07 15 16.2 19 6ᎏ2ᎏ 17 153 23 14ᎏ4ᎏ 21 0.75 5 33 42 Chapter Test 21 ft [6.1A] 0.75 km [6.1B] 130,680 ft2 [6.2A] ft2 [6.2A] 10,000 mL [6.2D] 8.05 km [6.2B] 10.6 qt [6.4A] 26.7° C [6.4B] 0.26 gal [6.4A] 10 20,844 in [6.1A] 11 0.24 ft3 [6.2A] 12 70.75 liters [6.4A] 13 74.70 m [6.4A] 14 7.55 liters [6.4A] 15 90 tiles [6.5C] 16 64 glasses [6.5C] 17 a 330 b 5.5 hr [6.4A] 18 11 lb [6.5A] Chapter Getting Ready for Chapter (5 ؒ 3)2 4(7 Ϫ 2) 14 15 16 110.1 17 24 in 0.32 18 7,500 ft2 125 10 ᎏᎏ 10 11 12 16 13 ᎏᎏ Problem Set 7.1 is greater than Ϫ2 is less than 13 Ϫ3 Ͼ Ϫ15 15 Ͻ 17 Ͼ Ϫ5 Ϫ3 Ͻ Η Η 19 Ϫ6 Ͻ 21 Ϫ12 Ͻ Ϫ2 31 15 Ͼ Η Ϫ4 Η 33 Η Ϫ2 Η Ͻ Η Ϫ7 Η 35 37 100 Ϫ3 53 55 Ϫ75 57 59 0.123 61 Ϫᎏᎏ 63 77 Ϫ20 79 Ϫ360 81 Ϫ450 feet 83 Ϫ3,060 feet Ϫ100 93 Ϫ7ЊF 95 10ЊF and 25-mph wind New Orleans Ϫ6:00 GMT 99 25 101 103 40° Temperature (Fahrenheit) 29 51 75 91 97 Ϫ10 is less than Ϫ3 is greater than Ϫ4 23 ϪϪ ᎏᎏ Ͼ Ϫᎏᎏ 41 231 25 Ϫ0.75 Ͻ 0.25 39 43 65 67 Ϫ2 69 85 Ϫ$5,000; Ϫ$2,750 105 19 30 Ͼ Ϫ30 107 4,313 ᎏᎏ Ϫ8 47 49 231 73 Positive 87 Ϫ61ЊF, Ϫ51ЊF 89 Ϫ5ЊF, Ϫ15ЊF 109 56 20° 10° 0° 10 11 12 −20° −30° −40° Months 113 (7 ϩ 2)ϩ 115 x ϩ 117 y ϩ 119 Ϫ3 121 The opposite of a number is the number that is the same distance from 0, but on the opposite side of 123 The opposite of the absolute value of Ϫ3 It simplifies to Ϫ3 www.TechnicalBooksPDF.com 27 Ϫ0.1 Ͻ Ϫ0.01 45 200 71 30° −10° 11 Ϫ10 Ͻ 111 ϩ A-14 Answers to Odd-Numbered Problems Problem Set 7.2 5 Ϫ2 29 Ϫ127 31 49 Ϫ6 33 34 35 13 Ϫ9 11 15 15 17 Ϫ3 First Number a Second Number b Their Sum a؉b 5 5 Ϫ3 Ϫ4 Ϫ5 Ϫ6 Ϫ7 Ϫ1 Ϫ2 19 Ϫ11 37 39 10 41 Ϫ445 43 107 45 Ϫ20 47 Ϫ17 49 Ϫ50 51 Ϫ7 53 3 63 Ϫ3.8 65 14.4 67 Ϫ9.89 69 Ϫ1 71 Ϫᎏᎏ 73 Ϫᎏᎏ 75 Ϫ0.86 85 Ϫ4 87 105 107 89 10 109 604 113 10 Ϫ x 111 95 Ϫ2 93 $10 23 Ϫ3 25 Ϫ16 27 Ϫ8 First Number x Second Number y Their Sum x؉y Ϫ5 Ϫ5 Ϫ5 Ϫ5 Ϫ5 Ϫ3 Ϫ4 Ϫ5 Ϫ6 Ϫ7 Ϫ8 Ϫ9 Ϫ10 Ϫ11 Ϫ12 55 50 57 Ϫ73 59 Ϫ11 61 17 77 Ϫ4.2 79 Ϫᎏᎏ 81 Ϫ21 83 Ϫ5 91 380 feet above the trailhead 21 Ϫ7 97 99 Ϫᎏᎏ 101 30 19 Ϫ13 21 Ϫ50 23 Ϫ100 103 Ϫ60.3 115 y Ϫ 17 Problem Set 7.3 Ϫ8 27 Ϫ21 Ϫ5 29 Ϫ11.41 31 Ϫ1.9 11 12 15 Ϫ7 13 35 Ϫᎏᎏ Ϫ9.03 b Ϫ16 11 ᎏᎏ 17 Ϫ3 11 15 12 33 Ϫ1 Problem Set 7.4 Number x Square x2 Ϫ3 Ϫ2 Ϫ1 1 Second Number y 6 6 Ϫ1 Ϫ2 33 50 35 37 Ϫ35 39 Ϫ22 57 Ϫ4 59 Ϫ17 61 a 63 d 77 79 Ϫ5 97 Ϫ54, 162 83 99 54, Ϫ162 13 Ϫ8 First Number x 31 Ϫ4 55 Ϫ6 81 85 17 101 44 39 Ϫ7 15 Ϫ24 41 Ϫ9 43 Ϫ14 25 399 47 Ϫ11 49 202 51 Ϫ400 53 Ϫ17.5 55 Ϫᎏᎏ 57 11 59 Ϫ4 61 63 65 b 67 a 69 Ϫ100 12 71 Ϫ16 degrees 73 7,603 feet 75 100 items 77 $1,760 79 $3,009 81 Ϫ11 Ϫ (Ϫ22) ϭ 11° F 83 Ϫ (Ϫ24) ϭ 27° F 85 60 Ϫ (Ϫ26) ϭ 86° F 87 Ϫ14 Ϫ (Ϫ26) ϭ 12° F 89 30 91 36 93 64 95 48 97 41 99 40 101 17 103 32 105 25 107 72 109 и 111 7x 113 5(3) 115 (5 и 7) и 117 2(3) ϩ 2(4) ϭ ϩ ϭ 14 119 Ϫ ϶ Ϫ 121 You have a balance of $10 in your checkbook, and you write a check for $12 Your new balance is $2 123 Ϫ5, Ϫ10 125 2, Ϫ56 Ϫ60 56 81 23 a Ϫ125 b Ϫ125 25 a 16 27 29 37 Ϫᎏᎏ 19 Ϫ6 17 24 45 Ϫ65 21 a 16 b Ϫ16 Their Product xy 12 Ϫ6 Ϫ12 41 Ϫ30 43 Ϫ25 45 47 Ϫ13 49 Ϫ11 51 19 53 65 a 67 b 69 Ϫ6°C 71 Ϫ16 degrees 73 $400 remains 75 12 89 12 Ϭ or ᎏᎏ 87 405 103 19 91 Ϭ ϭ 93 ؒ ϭ 10 95 89 105 Ϫ17 Problem Set 7.5 Ϫ3 17 Ϫ5 First Number Second Number a b 100 100 100 100 Ϫ5 Ϫ10 Ϫ25 Ϫ50 21 Ϫ5 47 Ϫ5 Ϫ4 11 Ϫ2 13 The Quotient of a and b a ᎏᎏ b 15 Ϫ5 19 First Number Second Number a b Ϫ100 Ϫ100 100 100 Ϫ20 Ϫ10 Ϫ4 Ϫ2 23 35 25 27 29 Ϫ6 31 Ϫ2 49 Ϫ20 51 Ϫ5 53 Ϫ1 55 c 57 a 33 Ϫ1 59 d 35 Ϫ1 37 61 Ϫ$9,810.50 www.TechnicalBooksPDF.com The Quotient of a and b a ᎏᎏ b Ϫ5 Ϫ5 39 Ϫ3 20 Ϫ20 Ϫ20 20 41 Ϫ7 43 30 45 A-15 Answers to Odd-Numbered Problems 63 65 x ϩ 8° 67 (5 ϩ 7) ϩ a 69 (3 ؒ 4)y 71 5(3) ϩ 5(7) 73 36 75 64 77 350 6° 4° Sun Sat Fri Thu Wed 0° −2° Tue 2° Mon Temperature (Fahrenheit) 10° −4° −6° −8° −10° 79 7,500 83 Ϫ12 81 85 12 87 Ϫ32 91 Ϫ2 89 32 93 Ϫ4 95 97 Ϫ1 99 Ϫ1 Problem Set 7.6 20a 48a Ϫ18x Ϫ27x Ϫ10y 11 Ϫ60y 13 ϩ x 15 13 ϩ x 17 10 ϩ y 19 ϩ y 21 5x ϩ 23 6y ϩ 25 12a ϩ 21 27 7x ϩ 28 29 7x ϩ 35 31 6a Ϫ 42 33 2x Ϫ 2y 35 20 ϩ 4x 37 6x ϩ 15 39 18a ϩ 41 12x Ϫ 6y 43 35 Ϫ 20y 45 8x 47 4a 49 4x 51 5y 53 Ϫ10a 55 Ϫ5x 57 x($3,300 Ϫ $300) Ϫ $250 ϭ $3,000x Ϫ $250 59 A ϭ 36 ft2; P ϭ 24 ft 61 A ϭ 81 in2; P ϭ 36 in 63 A ϭ 200 in2; P ϭ 60 in 65 A ϭ 300 ft2; P ϭ 74 ft 67 20° C 69 5° C 71 Ϫ10° C Chapter Review Ϫ17 4.6 Ϫ6 11 13 Ϫ2 15 Ϫ971 17 Ϫ12 19 21 Ϫ20 23 Ϫ1,736 25 Ϫ3 27 29 36 31 Ϫ8 33 Ϫ5 35 Ϫ8 37 Ϫ1 39 Ϫ4 41 Ϫ42 43 Ϫ11 45 Ϫ27 47 49 False 51 True 53 False 55 $58 ϩ (Ϫ$86) ϭ Ϫ$28 57 24° 59 3x ϩ 12 61 Ϫ21a 63 4x ϩ 12 65 21y Ϫ 56 67 3x 69 4y Chapter Cumulative Review 31 ᎏᎏ 35 16 ᎏᎏ 316 21 4.875 23 ᎏ19ᎏ 25 81 Ϫᎏᎏ 39 ᎏᎏ 16 25 40% 13 ᎏᎏ 11 Distributive property of multiplication 27 53.06 L 29 20 31 17° 33 20 women 15 0.098 35 97 mi 37 $10.80 17 19 ᎏᎏ 39 20 baskets Chapter Test Ϫ14 [7.1C] Ϫ5.9 [7.3A] Garbage (millions of tons) 16 Ϫ8 [7.5B] 24 Ϫ5 [7.5A] Ϫ1 Ͼ Ϫ4 [7.1A] 22 Ϫᎏᎏ [7.2B] 10 Ϫ36 [7.3A] 15 17 Ϫ11 [7.5B] 18 Ϫ15 [7.5B] 250 25 [7.1D] ᎏᎏ [7.1C] 11 42 [7.4A] 19 [7.5B] [7.1C] 12 [7.4A] 20 Ϫ4 [7.5B] 26 Ϫ$35 [7.2C] Ϫ2 [7.1B] Ϫ9 [7.2B] 13 Ϫ5 [7.5A] 14 [7.5A] 21 Ϫ61 [7.2B] 27 25° [7.3B] 22 Ϫ7 [7.3A] 23 24 [7.4A] 28 7x Ϫ 35 [7.6B] 15 [7.5B] 200 150 100 50 29 20x Ϫ [7.6B] Η Ϫ4 Η Ͼ Η Η [7.1A] 1960 30 18x Ϫ 16y [7.6B] 1970 1980 1990 2000 31 32x [7.6C] 32 8a [7.6C] Chapter Getting Ready for Chapter 11 135 Ϫ6 ᎏᎏ 15 4x Ϫ 20 16 x 17 x ϩ Ϫ20 Ϫ2 18 P ϭ 8x 18 Ϫᎏᎏ 10 13 11 12 35 13 10x 14 Ϫ12x Problem Set 8.1 10x y 3a 8x ϩ 16 6a ϩ 14 11 x ϩ 13 6x ϩ 11 15 2x ϩ 17 Ϫa ϩ 12 19 4y Ϫ 21 Ϫ2x ϩ 23 8x Ϫ 25 5a ϩ 27 Ϫx ϩ 29 17y ϩ 31 a Ϫ 33 6x ϩ 16 35 10x Ϫ 11 37 19y ϩ 32 39 30y Ϫ 18 41 6x ϩ 14 43 27a ϩ 45 14 47 27 49 Ϫ19 51 53 55 18 57 12 59 Ϫ10 61 28 63 40 65 26 67 69 71 73 15 75 77 6(x ϩ 4) ϭ 6x ϩ 24 79 4x ϩ 81 10x Ϫ 83 5° 85 55°; complementary angles 87 20°; complementary angles 89 a Yes b No, he should earn $108 for working hours c No, he should earn $84 for working hours d Yes 91 a 32°F b 22°F c Ϫ18°F 109 Ϫ9 111 113 a 93 a $27 b $47 115 c 117 c 119 95 Ϫᎏᎏ 97 Ϫ6 121 18 99 Ϫ3 123 www.TechnicalBooksPDF.com Ϫᎏᎏ 12 11 101 ᎏᎏ 103 105 x 107 y Ϫ A-16 Answers to Odd-Numbered Problems Problem Set 8.2 Yes 29 Ϫ3 53 67° 77 No Yes No 11 13 11 15 Ϫ15 33 Ϫ6 35 Ϫ6 37 Ϫ1 39 Ϫ2 41 Ϫ16 Yes 31 ᎏ 14 Ϫᎏ 15 79 81 59 61 ᎏᎏ 63 Equation: x ϩ 12 ϭ 30; x ϭ 18 57 ᎏᎏ 55 a 225 b $11,125 Ϫᎏ 83 Problem Set 8.3 17 19 Ϫ3 43 Ϫ3 45 10 65 67 21 Ϫ1 23 ᎏᎏ 25 Ϫ10 27 Ϫ4 47 x ϭ 49 x ϭ 12 51 58° celsius 69 73 7x Ϫ 11 71 x 75 85 Equation: Ϫ ϭ x ϩ 7; x ϭ Ϫ4 Ϫ6 Ϫ6 16 11 16 13 Ϫᎏᎏ 15 Ϫ7 17 Ϫ8 19 21 23 25 27 Ϫ24 29 12 31 Ϫ8 33 15 35 37 Ϫ1 39 41 43 45 Ϫ1 47 Ϫᎏᎏ 49 Ϫ14 51 53 55 308 ft/s 65 6a Ϫ 16 61 2x ϩ ϭ 19; x ϭ 57 $35.00 59 97,500,000 or 97.5 million viewers 67 Ϫ15x ϩ 69 3y Ϫ 71 16x Ϫ 63 5x Ϫ ϭ Ϫ9; x ϭ Ϫᎏᎏ Problem Set 8.4 3 Ϫ3 Ϫ4 11 13 15 Ϫ2 17 19 Ϫ1 21 23 Ϫ3 31 10 33 Ϫ5 35 Ϫᎏᎏ 37 Ϫ3 39 20 41 Ϫ1 43 45 47 2.05 49 Ϫ0.064 12 55 Ϫ0.175 57 59 10 61 63 1,250 feet 65 13 67 30 hours 69 x ϩ 71 2x 77 2x ϩ 79 Ͻ 81 Ͼ 83 0.001, 0.003, 0.01, 0.013, 0.03, 0.031 85 a 4x ϩ 6(x Ϫ 100) ϭ 2,400 b 25 27 Ϫ2 29 51 12.03 53 0.44 73 2(x ϩ 6) 75 x Ϫ x ϭ 300 c 500 people Problem Set 8.5 x ϩ 3 2x ϩ 5x Ϫ 3(x ϩ 1) 5(3x ϩ 4) 11 The number is 13 The number is Ϫ2 15 The number is 17 The number is 19 The number is Ϫ2 21 The length is 10 m and the width is m 23 The length of one side is cm 25 The measures of the angles are 45°, 45°, and 90° 27 The angles are 30°, 60°, and 90° 29 Patrick is 33 years old, and Pat is 53 years old 31 Sue is 35 years old, and Dale is 39 years old 33 87 mi 35 147 mi 37 nickels, 18 dimes 39 16 dimes, 32 quarters 41 x ϭ 8, y ϭ 6, z ϭ 43 39 hours 45 60 miles per hour 47 35 49 65 51 53 14 55 Ϫᎏᎏ 57 0.75, 75% 59 1.2, 120% 37 100 61 ᎏᎏ, 0.37 17 500 63 ᎏᎏ, 0.034 65 20.25 67 75 Problem Set 8.6 704 ft2 ᎏᎏ in2 $240 $285 12 ft 21 C ϭ 20°C; yes 23 0°C 25 5°C 27 29 13 $140 AGE (YEARS) MAXIMUM HEART RATE (BEATS PER MINUTE) RESTING HEART RATE TRAINING HEART RATE 18 202 60 144 19 201 65 146 20 200 70 148 21 199 75 150 22 198 80 152 23 197 85 154 13 17 3ᎏᎏ ϭ ᎏᎏ ft 15 58 in 19 C ϭ 100°C; yes 31 a hrs b 220 miles 37 yd3 39 y ϭ 41 y ϭ Ϫ3 43 y ϭ Ϫ2 45 x ϭ 47 x ϭ 49 x ϭ 13 13 yϭ1 53 y ϭ 55 y ϭ ᎏᎏ 57 y ϭ 59 y ϭ ᎏᎏ 61 y ϭ 63 x ϭ 65 x ϭ ᎏᎏ 67 x ϭ 3 Complement: 45°; supplement: 135° 71 Complement: 59°; supplement: 149° 73 a 13,330 kilobytes b 2,962 kilobytes a About 58° Celcius b 328 K 77 ᎏᎏ 79 81 83 33 a hours b 65 mph 51 69 75 11 ft 35 360 in3 Chapter Review 17x 27 Ϫ2 11a Ϫ 5x ϩ 10a Ϫ 42 11 29 Ϫ4 31 The length is 14 m, and the width is m 13 Yes 33 y ϭ 15 17 19 35 y ϭ 37 x ϭ 21 23 Ϫ1 39 x ϭ 25 Ϫᎏᎏ Chapter Cumulative Review 5,996 23 56 4.559 25 27 938,135 42 29 82 in 440,000 31 16 mpg 11 6ᎏᎏ 33 13 m 13 80% 35 $21 15 1ᎏᎏ 37 Ϫ$45 25 17 ᎏᎏ 39 81 240 19 Ϫ7 21 12 13 ᎏ2ᎏ Chapter Test 6x Ϫ 3b Ϫ Ϫ3 14 15 Ϫ8 16 22 mi/hr Yes 8 Ϫ4.9 27 10 11 Ϫ4 17 Length ϭ cm; width ϭ cm 18 Susan is 11, Karen is www.TechnicalBooksPDF.com Index A Absolute value, 460 Acute angle, 524 Addition associative property of, 17 with carrying, 15 commutative property of, 16 with decimals, 214 with fractions, 148 with mixed numbers, 171 with negative numbers, 469,471 with table, 14 with whole numbers, 14 with zero, 16 Addition property of equality, 534 of zero, 16 Additive inverse, 461 Algebraic expression, 504, 521 value of, 523 Angle, 524 acute, 524 complementary, 524, 571 complement of, 524, 571 measure, 524 notation, 524 obtuse, 524 right, 524 sides of, 524 straight, 524 sum of (triangle), 560 supplementary, 524, 571 supplement of, 524, 571 vertex of, 524 Area, 81 of a circle, 227 metric units of, 419 of a parallelogram, 81 of a rectangle, 81, 417,506 of a square, 81, 417, 506 of a triangle, 131, 417 U.S units of, 408 Arithmetic mean, 71 Associative property of addition, 17 of multiplication, 47 Average, 71, 73 Average speed, 571 B Bar chart, 28 Base, 67 Blueprint for problem solving, 557 Borrowing, 35, 174 C Carrying, 15 Celsius scale, 435 Circle, 225 area, 227 circumference, 225 diameter, 225 radius, 225 Circumference, 225 Commission, 360 Commutative property of addition, 16 of multiplication, 46 Complementary angles, 524, 571 Complex fractions, 180 Composite numbers, 119 Compound interest, 376 Conversion factors, 408 area, 418, 419 between metric and U.S systems, 433 length, 409, 411 time, 441 volume, 420, 421 weight, 427 Counting numbers, Cube, 84 Cylinder, 227 D Decimal fractions, 206 Decimal notation, 205 Decimal numbers, 206 addition with, 214 converting fractions to, 245 converting to fractions, 207, 246 converting to mixed numbers, 207 converting percents to, 334 converting to percents, 335 division with, 235 and equations, 552 expanded form, 206 multiplication with, 222 repeating, 246 rounding, 207 subtraction with, 214 writing in words, 206 Decimal point, 206 Degree measure, 524 Denominator, 107 least common, 149 Diameter, 225 Difference, 33 Digit, Discount, 368 Distributive property, 43, 505, 521 Dividend, 55 Division with decimals, 235 with fractions, 139 long, 57 with mixed numbers, 166 with negative numbers, 497 with remainders, 59 with whole numbers, 56 by zero, 61 Divisor, 55, 119 E Equations applications of, 555 in one variable, 18, 47, 293, 541, 549 involving decimals, 552 involving fractions, 551 Equivalent fractions, 109 Estimating, 27, 44, 60, 223 Evaluating formulas, 569 Expanded form, 4, 206 Exponents, 67, 101 zero, 68 Extremes, 297 F Factor, 42, 119 Factoring into prime numbers, 119 Fahrenheit scale, 435 Formula, 569 Fraction bar, 55 Fractions, 107 addition with, 148 combinations of operations, 179 complex, 180 converting decimals to, 207, 246 converting to decimals, 245 converting percents to, 336 converting to percents, 337 denominator of, 107 division with, 139 and equations, 529 equivalent, 109 improper, 108 least common denominator, 149 lowest terms, 120 meaning of, 107 multiplications with, 127 and the number one, 111 numerator of, 108 proper, 108 properties of, 110 as ratios, 279 reducing to lowest terms, 120, 129 subtraction with, 148 terms of, 107 Fundamental property of proportions, 298 G Geometric sequence, 54 Grade point average, 238 Greater than, 460 H Hypotenuse, 259 I Improper fractions, 108 Inequality symbols, 460 Integers, 461 Interest compound, 376 principal, 375 rate, 375 simple, 375 Irrational number, 225, 259 K Kronecker, Leopold, 100 L Least common denominator, 149, 551 Length metric units of, 410 U.S units of, 408 Less than, 460 Line graph, 462 Linear equations in one variable, 549 Long division, 57 Lowest terms, 120 M Mean, 71 Means, 297 Median, 72 Metric system converting to U.S system, 433 prefixes of, 409 units of, 410, 419, 421, 427 Mixed numbers, 159 addition with, 171 borrowing, 174 converting decimals to, 246 converting improper fractions to, 161 converting to improper fractions, 159 division with, 166 multiplication with, 165 notation, 159 subtraction with, 173 Mode, 72 I-1 www.TechnicalBooksPDF.com I-2 Index Multiplication associative property of, 47 commutative property of, 46 with decimals, 222 with fractions, 127 with mixed numbers, 165 with negative numbers, 489 by one, 46 with whole numbers, 43, 46 by zero, 46 Multiplication property of equality, 541 of one, 46 of zero, 46 N Negative numbers, 459 addition with, 469, 471 division with, 497 multiplication with, 489 subtraction with, 479 Number line, 8, 459 Numbers absolute value of, 460 composite, 119 counting, decimal, 205 integer, 461 irrational, 225, 259 mixed, 159 negative, 459 opposite of, 461 positive, 459 prime, 119 rounding, 25, 207 whole, writing in words, writing with digits, Numerator, 108 O Obtuse angle, 524 Opposite, 461 Order of operations, 69 Origin, 459 P Parallelogram area of, 81 Pascal’s triangle, Percents applications, 353 basic percent problems, 343 and commission, 360 converting decimals to, 335 converting fractions to, 337 converting to decimals, 334 converting to fractions, 336 and discount, 367 increase and decrease, 367 meaning of, 333 and proportions, 346 and sales tax, 359 Perfect square, 258 Perimeter, 19 of a square, 19, 506 of a rectangle, 19, 506 Pi, 225 Pie chart, 107, 383 Place value, 3, 205 Polygon, 19 Positive numbers, 459 Prime numbers, 119 Product, 42 Proper fractions, 108 Proportions, 297 applications of, 303, 346 extremes, 297 fundamental property of, 298 means, 297 terms of, 297 Protractor, 385, 525 Pythagorean theorem, 259 Q Quotient, 55 R Radical sign, 257 Radius, 225 Range, 74 Rate equation, 570 Rates, 287 Ratio, 279 Reciprocal, 139 Rectangle, 19 area, 81, 417, 506 perimeter, 19, 506 Rectangular solid surface area, 85 volume, 84 Remainder, 59 Right angle, 524 Right circular cylinder, 227 Right triangle, 259 Rounding decimals, 207 whole numbers, 25 S Sales tax, 359 Scatter diagram, 462 Sequence geometric, 54 Set, Similar figures, 309 Simple interest, 375 Similar terms, 505, 521 Solution, 18, 533, 549 Sphere, 249 Square, 19 area, 81, 417, 506 perimeter, 19, 506 Square root, 257 approximating, 258 simplifying, 258 Straight angle, 524 Study skills, 5, 7, 8, 17, 74, 86, 107, 111, 132, 181, 216, 228, 238, 279, 300 Subraction with borrowing, 35, 174 with decimals, 214 with fractions, 148 with mixed numbers, 171 with negative numbers, 479 with whole numbers, 34 Supplementary angles, 524, 571 Sum, 15 Surface area, 85 T Temperature, 433 Terms of a fraction, 108 of a proportion, 297 similar, 505, 521 Time, 441 Triangle, 19 area, 131, 417 www.TechnicalBooksPDF.com labeling, 560 perimeter, 19 right, 259 similar, 309 sum of angles in, 560 U Unit analysis, 407, 417, 427 Unit pricing, 288 Units area, 418, 419 length, 408, 410 mixed, 441 volume, 420, 421 weight, 427 V Variable, 505 Vertex of an angle, 524 Volume, 84 metric units of, 421 rectangular solid, 84 right circular cylinder, 227 sphere, 249 U.S units of, 420 W Weight metric units of, 427 U.S units of, 427 Weighted average, 237 Whole numbers, addition with, 15 division with, 56 multiplication with, 43, 46 rounding, 25 subtraction with, 34 writing in words, Writing numbers in words, 6, 206 with digits, Z Zero and addition, 16 and division, 61 as an exponent, 68 and multiplication, 46 .. .Basic Mathematics, Seventh Edition Charles P McKeague Mathematics Editor: Marc Bove Publisher: Charlie Van Wagner Consulting... www.ichapters.com Printed in the United States of America 11 10 09 08 www.TechnicalBooksPDF.com Basic Mathematics SEVENTH EDITION Charles P McKeague CUESTA COLLEGE Australia • Brazil • Japan • Korea •... bring success to our students The seventh edition of Basic Mathematics builds upon these strengths Applying the Concepts Students are always curious about how the mathematics they are learning can