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DEVELOPMENTALMATHEMATICSSECOND EDITIOND. Franklin WrightInstructor PreviewDEV 2e Preface.indd 110/11/2017 12:16:56 PM

WIEEditor: Nina WaldronVEProject Manager: Patrick Vande BosscheYLNOAssistant Editors: Chelsey Cooke, S. Rebecca Johnson, Barbara Miller,RRDesigners: D. Kanthi, E. Jeevan Kumar, U. Nagesh, James Smalls,Patrick Thompson, Tee Jay ZajacFOCover Design: Patrick ThompsonVP Research & Development: Marcel PrevuznakDirector of Content: Kara RochéRFOA division of Quant Systems, Inc.WEIVYLNOER546 Long Point Road, Mount Pleasant, SC 29464Copyright 2017 by Hawkes Learning / Quant Systems, Inc. All rights reserved.No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means,electronic, mechanical, photocopying, recording, or otherwise, without the prior written consent of the publisher.Printed in the United States of AmericaISBN: 978-1-946158-71-0DEV2e Marketing Booklet.indb 210/11/2017 10:25:07 AM

Instructor Sample ContentsDevelopmental Mathematics Second Edition Table of Contents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vDevelopmental Mathematics: Content Highlights. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ixStrategies for Academic SuccessYLNHow to Read a Math Textbook. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Tips for Success in a Math Course. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2OTips for Improving Math Test Scores. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Practice, Patience, and Persistence! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4WIENote Taking. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5VEDo I Need a Math Tutor?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6Tips for Improving Your Memory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7RROvercoming Anxiety. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Online Resources. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9FOPreparing for a Final Math Exam. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10YLNChapter ProjectBefore and After. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12CHAPTER 2WEIVFractions and Mixed NumbersO2.1 Introduction to Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.2 Multiplication with Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28CHAPTER 10RFOERGraphing Linear Equations and Inequalities10.1 The Cartesian Coordinate System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4110.2 Graphing Linear Equations in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5810.3 Slope‑Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68CHAPTER 17Exponential and Logarithmic Functions17.3 Exponential Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8417.4 Logarithmic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97DEV2e Marketing Booklet.indb 310/11/2017 10:25:07 AM

RRFOVERFODEV2e Marketing Booklet.indb 4WIEYLNOWEIVYLNOER10/11/2017 10:25:07 AM

Developmental Mathematics Second Edition Table of ContentsvPrefaceDevelopmental Mathematics Second Edition Table of Contents Note: Content subject to changeCHAPTER 1CHAPTER 3Whole NumbersDecimal Numbers1.1Introduction to Whole Numbers3.1Introduction to Decimal Numbers1.2Addition and Subtractionwith Whole Numbers3.2Addition and Subtractionwith Decimal Numbers1.3Multiplication with Whole Numbers3.3Multiplication with Decimal Numbers1.4Division with Whole Numbers3.41.5Rounding and Estimatingwith Whole Numbers1.6Problem Solving with Whole Numbers1.7Exponents and Order of Operations1.8Tests for DivisibilityRRFO1.9WIE3.5VE3.6YLNODivision with Decimal NumbersEstimating and Order of Operationswith Decimal NumbersDecimal Numbers and FractionsCHAPTER 4Ratios, Proportions, and PercentsPrime Numbers and Prime Factorizations4.1Ratios and Unit Rates4.2ProportionsFractions and Mixed Numbers4.3Decimals and Percents2.1Introduction to Fractionsand Mixed Numbers4.4Fractions and Percents2.2Multiplication with Fractions4.5Solving Percent ProblemsUsing Proportions2.3Division with Fractions2.4Multiplication and Divisionwith Mixed NumbersCHAPTER 2ER2.5Least Common Multiple (LCM)2.6Addition and Subtraction with Fractions2.7Addition and Subtractionwith Mixed Numbers2.8Comparisons and Order ofOperations with FractionsDEV2e Marketing Booklet.indb 5RFOWEIVYLNO4.6Solving Percent Problems Using Equations4.7Applications of Percent4.8Simple and Compound InterestCHAPTER 5Measurements5.1US Measurements5.2The Metric System: Length and Area5.3The Metric System: Capacity and Weight5.4US and Metric Equivalents10/11/2017 10:25:07 AM

viPrefaceDevelopmental Mathematics Second Edition Table of ContentsCHAPTER 6CHAPTER 9Geometry6.1Angles and TrianglesSolving Linear Equationsand Inequalities6.2Perimeter9.16.3AreaSolving Linear Equations:x b c and ax c6.4Circles9.2Solving Linear Equations: ax b c6.5Volume and Surface Area9.3Solving Linear Equations: ax b cx d6.6Similar and Congruent Triangles9.4Working with Formulas6.7Square Roots and thePythagorean Theorem9.5Applications: Number Problemsand Consecutive Integers9.6Applications: Distance‑Rate‑Time,Interest, Average9.7Solving Linear Inequalities in One Variable9.8Compound Inequalities9.9Absolute Value EquationsWIECHAPTER 7VEStatistics, Graphs, and Probability7.1Statistics: Mean, Median, Mode, and Range7.2Reading Graphs7.3Constructing Graphs from a Database7.4ProbabilityRRFOYLNO9.10 Absolute Value InequalitiesCHAPTER 10Graphing Linear Equationsand InequalitiesCHAPTER 8Introduction to AlgebraOThe Real Number Line and Absolute Value8.2Addition with Real Numbers10.2 Graphing Linear Equationsin Two Variables8.3Subtraction with Real Numbers10.3 Slope-Intercept Form8.4Multiplication and Divisionwith Real Numbers10.4 Point-Slope Form8.5Order of Operations with Real Numbers8.6Properties of Real Numbers8.7Simplifying and EvaluatingAlgebraic Expressions8.8Translating English Phrasesand Algebraic ExpressionsDEV 2e Preface.indd 6RFOYLN10.1 The Cartesian Coordinate System8.1WEIVER10.5 Introduction to Functionsand Function Notation10.6 Graphing Linear Inequalitiesin Two Variables10/11/2017 12:39:19 PM

Developmental Mathematics Second Edition Table of ContentsviiPrefaceCHAPTER 11CHAPTER 13Systems of Linear EquationsFactoring Polynomials11.1 Systems of Linear Equations:Solutions by Graphing13.1 Greatest Common Factor (GCF)and Factoring by Grouping11.2 Systems of Linear Equations:Solutions by Substitution13.2 Factoring Trinomials: x2 bx c13.3 Factoring Trinomials: ax2 bx c11.3 Systems of Linear Equations:Solutions by Addition13.4 Special Factoring Techniques11.4 Applications: Distance-Rate-Time,Number Problems, Amounts, and Costs13.6 Solving Quadratic Equations by FactoringO13.7 Applications: Quadratic Equations11.5 Applications: Interest and Mixture11.6 Systems of Linear Equations:Three VariablesYLN13.5 Review of Factoring TechniquesWIECHAPTER 14VE11.7 Matrices and Gaussian EliminationRational Expressions11.8 Systems of Linear Inequalities14.1 Introduction to Rational ExpressionsRRCHAPTER 12FO14.2 Multiplication and Divisionwith Rational Expressions14.3 Least Common Multiple of PolynomialsExponents and Polynomials14.4 Addition and Subtraction withRational Expressions12.1 Rules for Exponents12.2 Power Rules for Exponents14.6 Solving Rational Equations12.4 Introduction to Polynomials12.6 Multiplication with Polynomials12.8 Division with Polynomials12.9 Synthetic Division and theRemainder TheoremRFODEV2e Marketing Booklet.indb 7O14.7 Applications: Rational ExpressionsWEIV12.5 Addition and Subtraction with Polynomials12.7 Special Products of BinomialsYLN14.5 Simplifying Complex Fractions12.3 Applications: Scientific Notation14.8 Applications: VariationER10/11/2017 10:25:07 AM

viiiPrefaceDevelopmental Mathematics Second Edition Table of ContentsCHAPTER 15CHAPTER 17Roots, Radicals, andComplex NumbersExponential andLogarithmic Functions15.1 Evaluating Radicals17.1 Algebra of Functions15.2 Simplifying Radicals15.3 Rational Exponents17.2 Composition of Functionsand Inverse Functions15.4 Addition, Subtraction, andMultiplication with Radicals17.3 Exponential Functions17.4 Logarithmic Functions15.5 Rationalizing Denominators17.5 Properties of Logarithms15.6 Solving Radical Equations17.6 Common Logarithms andNatural Logarithms15.7 Functions with Radicals15.8 Introduction to Complex Numbers15.9 Multiplication and Divisionwith Complex NumbersCHAPTER 16RRFOQuadratic EquationsWIE17.8 Applications: Exponential andLogarithmic FunctionsCHAPTER 18Conic Sections16.1 Quadratic Equations:The Square Root Method18.1 Translations and Reflections18.3 Distance Formula, MidpointFormula, and Circles16.3 Quadratic Equations:The Quadratic Formula18.4 Ellipses and Hyperbolas16.4 More Applications of Quadratic Equations16.7 More on Graphing Functionsand ApplicationsRFO16.8 Solving Polynomial andRational InequalitiesDEV2e Marketing Booklet.indb 8YLN18.2 Parabolas as Conics16.2 Quadratic Equations:Completing the Square16.6 Graphing Quadratic FunctionsO17.7 Logarithmic and ExponentialEquations and Change-of-BaseVE16.5 Equations in Quadratic FormYLNWEIVO18.5 Nonlinear Systems of EquationsER10/11/2017 10:25:07 AM

Developmental Mathematics: Content HighlightsPrefaceixDevelopmental Mathematics:Content HighlightsNew FeaturesStrategies for Academic SuccessChapter ProjectsA new section has been included to help studentshone their skills in note taking, time management, testtaking, and reading. This section also provides tipsfor improving memory, overcoming test anxiety, andfinding a math tutor. (See page 19 for more)This new feature promotes collaboration and showsstudents the practical side of mathematics throughactivities using real-world applications of the conceptstaught in the chapter. (See page 24 for more)Strategies for Academic Success Note TakingGeneral TipsExample:RRFO Write the date and the course name at the top ofeach page. Write the notes in your own words and paraphrase. Use abbreviations, such as ft for foot, # for number,def for definition, and RHS for right-hand side. Copy all figures or examples that are presentedduring the lecture. Review and rewrite your notes after class. Do thison the same day, if possible.There are many different methods of note taking and it’salways good to explore new methods. A good time to tryout new note-taking methods is when you rewrite yourclass notes. Be sure to try each new method a few timesbefore deciding which works best for you. Below are threenote-taking methods you can try out. You may even findthat a blend of several methods works best for you.Note-Taking MethodsOutlineAn outline consists of several topic headings, eachfollowed by a series of indented bullet points that includesubtopics, definitions, examples, and other details.Keywords:RatiosNotes:1. Comparison of twoquantities by divisiona2.3.b, a : b, a to bCan reduce4. Common units can cancelSummary: Ratios are used to compare quantitiesand units can cancel.MappingThe mapping method is the most visual of the threemethods. One common way to create a mapping isto write the main idea or topic in the center and drawlines, from the main idea to smaller ideas or subtopics.Additional branches can be created from the subtopicsuntil all of the key ideas and definitions are included.Using a different color for subtopic can help visuallyorganize the topics.Example:Comparison of quantities by divisionCan bereduceda to baba:bThe split page method divides the page vertically into twocolumns with the left column narrower than the rightcolumn. Main topics go in the left column and detailedcomments go in the right column. The bottom of the pageis reserved for a short summary of the material covered.1.Find two other note taking methods anddescribe them.2.Write five additional abbreviations that youcould use while taking notes.Take Me Out to the Ball Game!An activity to demonstrate the use of percents and percent of increase or decrease in real life.The Atlanta Braves baseball team has been one of the most popular baseball teams for fans not only from Georgia, butthroughout the Carolinas and the southeastern United States. The Braves franchise started playing at the Atlanta-FultonCounty Stadium in 1966 and this continued to be their home field for 30 years. In 1996, the Centennial Olympic Stadium thatwas built for the 1996 Summer Olympics was converted to a new ballpark for the Atlanta Braves. The ballpark was namedTurner Field and was opened for play in 1997. In 2017, the braves moved to a new stadium named SunTrust Park.Round all percents to the nearest whole percent.1. The Atlanta-Fulton County Stadium had aseating capacity of 52,769