Table of Contents R. Prealgebra ReviewR.1 FractionsR.2 Decimals and PercentsStudy Skills Using Your Math Text The Real Number System 1.1 Exponents, Order of Operations, and Inequality Study Skills Taking Lecture Notes1.2 Variables, Expressions, and Equations Study Skills Reading Your Math Text1.3 Real Numbers and the Number Line Study Skills Using Study Cards1.4 Adding Real Numbers1.5 Subtracting Real Numbers Study Skills Completing Your Homework1.6 Multiplying and Dividing Real Numbers Summary Exercises Performing Operations with Real Numbers1.7 Properties of Real Numbers1.8 Simplifying Expressions Study Skills Reviewing a ChapterEquations, Inequalities, and Applications 2.1 The Addition Property of Equality Study Skills Managing Your Time2.2 The Multiplication Property of Equality2.3 More on Solving Linear Equations Study Skills Using Study Cards RevisitedSummary Exercises Applying Methods for Solving Linear Equations2.4 An Introduction to Applications of Linear Equations2.5 Formulas and Additional Applications from Geometry2.6 Ratio, Proportion, and Percent Summary Exercises Applying Problem-Solving Techniques2.7 Solving Linear Inequalities Study Skills Taking Math TestsGraphs of Linear Equations and Inequalities in Two Variables 3.1 Linear Equations and Rectangular Coordinates Study Skills Analyzing Your Test Results3.2 Graphing Linear Equations in Two Variables3.3 The Slope of a Line3.4 Slope-Intercept Form of a Linear Equation3.5 Point-Slope Form of a Linear Equation and Modeling Summary Exercises Applying Graphing andEquation-Writing Techniques for LinesStudy Skills Preparing for Your Math Final Exam3.6 Graphing Linear Inequalities in Two VariablesSystems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by Substitution4.3 Solving Systems of Linear Equations by Elimination Summary Exercises Applying Techniques for Solving Systems of Linear Equations4.4 Applications of Linear Systems4.5 Solving Systems of Linear InequalitiesExponents and Polynomials 5.1 The Product Rule and Power Rules for Exponents5.2 Integer Exponents and the Quotient Rule Summary Exercises Applying the Rules for Exponents5.3 An Application of Exponents: Scientific Notation5.4 Adding and Subtracting Polynomials5.5 Multiplying Polynomials5.6 Special Products5.7 Dividing a Polynomial by a Monomial5.8 Dividing a Polynomial by a PolynomialFactoring and Applications 6.1 Greatest Common Factors; Factor by Grouping6.2 Factoring Trinomials6.3 Factoring Trinomials by Grouping6.4 Factoring Trinomials Using the FOIL Method6.5 Special Factoring Techniques6.6 A General Approach to Factoring6.7 Solving Quadratic Equations Using the Zero-Factor Property6.8 Applications of Quadratic EquationsRational Expressions and Applications 7.1 The Fundamental Property of Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Least Common Denominators7.4 Adding and Subtracting Rational Expressions7.5 Complex Fractions7.6 Solving Equations with Rational Expressions Summary Exercises Simplifying Rational Expressions vs. Solving Rational Equations7.7 Applications of Rational Expressions7.8 VariationEquations, Inequalities, Graphs, and Systems Revisited 8.1 Review of Solving Linear Equations and Inequalities in one Variable8.2 Set Operations and Compound Inequalities8.3 Absolute Value Equations and Inequalities Summary Exercises Solving Linear and Absolute Value Equations and Inequalities8.4 Review of Graphing Linear Equations in Two Variables; Slope8.6 Systems of Linear Equations in Three Variables; ApplicationsRelations and Functions 9.1 Introduction to Relations and Functions9.2 Function Notation and Linear Functions9.3 Polynomial Functions, Operations, and Graphs9.4 VariationRoots, Radicals, and Root Functions 10.1 Radical Expressions and Graphs10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Adding and Subtracting Radical Expressions10.5 Multiplying and Dividing Radical Expressions Summary Exercises Performing Operations with Radicals and Rational Exponents10.6 Solving Equations with Radicals10.7 Complex NumbersQuadratic Equations, Inequalities, and Functions 11.1 Solving Quadratic Equations by the Square Root Property11.2 Solving Quadratic Equations by Completing the Square11.3 Solving Quadratic Equations by the Quadratic Formula11.4 Equations Quadratic in Form Summary Exercises Applying Methods for Solving Quadratic Equations11.5 Formulas and Further Applications11.6 Graphs of Quadratic Functions11.7 More about Parabolas and Their Applications11.8 Polynomial and Rational InequalitiesInverse, Exponential, and Logarithmic Functions 12.1 Composition of Functions12.2 Inverse Functions12.3 Exponential Functions12.4 Logarithmic Functions12.5 Properties of Logarithms12.6 Common and Natural Logarithms12.7 Exponential and Logarithmic Equations and Their ApplicationsNonlinear Functions, Conic Sections, and Nonlinear Systems 13.1 Additional Graphs of Functions13.2 Circles and Ellipses13.3 Hyperbolas and Functions Defined by Radicals13.4 Nonlinear Systems of Equations13.5 Second-Degree Inequalities and Systems of Inequalities Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra) Appendix B: Synthetic Division Appendix C: Solving Systems of Linear Equations by Matrix Methods Answers to Selected Exercises Index
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About the Book   Student-friendly features to make math accessible Margin Problems allow students to immediately practice the example material and check their answer at the bottom of the page in preparation for the exercise sets.Real-Life Applications with interesting data are used in many new or updated examples and exercises throughout the text. Students are often asked to find data in a table, chart, graph, or advertisement. These applied problems provide an up-to-date flavor that will appeal to and motivate students.Learning Objectives begin each section, and all material is keyed to these objectives to let students and instructors know exactly what will be covered.Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the-spot reminders and warnings about common pitfalls. Expanded! A popular feature, Pointers have been increased in this edition.UPDATED! Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities.Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes.The new and engaging Chapter Openers portray real-life situations that make math relevant for students.Figures and Photos provide visual learners with a presentation of mathematical figures, diagrams, tables, and graphs whenever possible and use a style similar to that seen by students in today’s print and electronic media.Calculator Tips are optional tips, marked with a red calculator icon, that offer helpful information and instruction for students using calculators in the course.   Pedagogy that develops conceptual understanding alongside skill development Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes.EXPANDED! Some Concept Checks include What Went Wrong Exercises, which have been expanded in this revision. Earlier editions of the text included exercises designed to help students find and fix errors, but in this edition these exercises have been updated and expanded with explicit instructions to emphasize the importance of this aspect of the learning process. When students can find and correct errors, they are demonstrating a higher level of understanding and conceptual knowledge. UPDATED! Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab™ Math course, noted with an “RC”.EXPANDED! Guided Solution exercises, noted with a “GS” in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-so
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About the Book Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities.Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab™ Math course, noted with an “RC”.Guided Solution exercises, noted with a “GS” in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-solving steps. Many of the Guided Solutions exercises in the end of section sets are assignable in MyLab Math, and utilize a ‘guided’ functionality in the program. Coverage of these exercises in MyLab Math has been increased in this revision.Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences. The variety of end-of-section exercise sets provide students with opportunities to practice, apply, connect, and extend the skills they are learning. In addition to Chapter Review exercises keyed to sections from the chapter, Chapter Reviews include a full page of dedicated Mixed Review exercises, to help students synthesize concepts.   CONTENT CHANGES Specific content changes include the following: Exercise sets have been updated with a renewed focus on conceptual understanding, skill development, and review. New or revised figures are included wherever possible.Real-world data in the examples and exercises has been updated.More “word equations” are included in application examples to help students translate words into equations.Expanded Chapter R includes new figures and exposition on fractions, as well as new discussion, examples, and exercises on converting between fractions, decimals, and percents.Expanded MidChapterSummary Exercises in Chapter 2 continue our emphasis on the difference between simplifying expressions and solving equations. The mid-chapterSummary Exercises in Chapters 4, 6, 7, and 11 include new examples that illustrate and distinguish between solution methods.Separate sections on slope-intercept form and point-slope form now appear in Chapter 3 and include enhanced discussion and new examples and exercises.Reorganized Chapter 5 introduces the rules for exponents and application to scientific notation at the beginning of the chapter, followed by the sections on polynomials and their operations.Expanded Chapter 7 on rational expressions introduces the material in more sections that now include additional examples and exercise. Emphasis I s given to recognizing equivalent forms of rational expressions.Chapter 8, which revisits topics from the first half of the course, includes new Section 8.4 that reviews graphing linear equations in two variables and slope.New Chapter 9 now includes the material on functions, function notation, linear functions, and variation.  New Section 9.3 introduces polynomial function, graphs, and operations. Each subsequent chapter in the text presents a new class of functions.The following topics are among those that have been enhanced and/or expanded: Operations with signed numbers (Sections 1.4—1.6)Order of operations involving absolute value expressions (Sections 1.5 and 1.6)Solving linear equations in one variable (Sections 2.1 and 2.2)Solving linear inequalities with fractions (Section 2.7)Graphing linear equations in two variables using intercepts (Section 3.2)Solving linear systems of equations using elimination (Section 4.3)Dividing a polynomial by a polynomial (Section 5.7)Discussion of sums of squares and factoring perfect square trinomials (Section 6.5)General Factoring strategies (Section 6.6)Solving systems of linear equations in there variables (Section 8.6)Multiplying radical expressions (Section 10.5)Solving quadratic equations by completing the square (Section 11.2)Solving quadratic inequalities (Section 11.7)Finding and graphing inverse functions (Section 12.2)Graphing systems of linear inequalities (Section 13.5) Also available with MyLab Math MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. New exercise types and functionality give instructors an abundance of choice for assignment creation, and ensure that students’ practice in their MyLab Math course gives them a well-rounded understanding of concepts and procedures.Guided Solution Exercises are assignable in MyLab Math. These exercises are noted with a GS icon in the section exercise sets, and a GS notation in the Assignment Manager. Coverage of Guided Solution exercises has been increased in this revision. These exercises allow instructors to assess student understanding of the problem-solving process, rather than completing the steps by rote, and to also keep students on the right track as they work through the problem-solving steps.Relating Concepts exercises in the text help students make connections and problem-solve at a higher level. These sets are assignable in MyLab Math, with expanded coverage in this revision.Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.Skill Builder assignments offer adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives. A variety of resources bring the hallmark Lial pedagogy and approach into the MyLab Math course.The extensive Lial video program makes the MyLab Math course a true learning environment, and gives students support right when they need it, wherever they need it. The variety of videos give instructors flexibility - different types of videos allow for different learning environments, such as a flipped classroom or lab, and different assignment types. Many of the videos have been updated in this revision to more closely match the exercises from the text, in a more modern presentation format. Videos available include the following, which all offer optional English and Spanish captioning:Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through the complete solution to that exact problem.Objective-level videos are short, bite-size chunks taken from the section lecture videos. Students often will not watch a video longer than 5 minutes, so objective-level videos give just the right amount of content to keep their attention.Section Lecture Videos are available for every section, and offer a navigation menu by example and objective.Quick Review Lectures provide a summary of key concepts for each chapter.Chapter Test Prep Videos show solutions for all Chapter Test exercises. They can also be accessed on YouTube. The Lial Video Workbook corresponds to the videos, and gives students a place to record the examples from the videos and try problems on their own.Learning Catalytics™ helps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.In addition to a library of premade developmental math questions in Learning Catalytics, the authors have included suggested Learning Catalytics questions, drawing on prerequisite skills, at the start of each section to check student preparedness for the new material. These questions are available as annotations in the Annotated Instructor Edition - check out the Instructor Resources tab in MyLab Math to learn more. In addition to assignable Study Skills and Reading Connection material, new Mindset material has been added to the course. This content encourages students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity - so often a major hurdle for developmental math students.Accessibility enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader, enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include subtitles.
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Produktdetaljer

ISBN
9780134775500
Publisert
2017-08-20
Utgave
6. utgave
Utgiver
Vendor
Pearson
Vekt
1578 gr
Høyde
274 mm
Bredde
216 mm
Dybde
51 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
888

Biographical note

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

A native Midwesterner, Terry McGinnis received her Bachelor's of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.