R. Prealgebra Review R.1 Fractions R.2 Decimals and Percents             Study Skills: Using Your Math Textbook             Study Skills: Reading Your Math Textbook   1. The Real Number System 1.1 Exponents, Order of Operations, and Inequality             Study Skills: Taking Lecture Notes 1.2 Variables, Expressions, and Equations             Study Skills: Tackling Your Homework 1.3 Real Numbers and the Number Line             Study Skills: Using Study Cards 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers 1.6 Multiplying and Dividing Real Numbers             Summary Exercises Performing Operations with Real Numbers 1.7 Properties of Real Numbers             Study Skills: Reviewing a Chapter 1.8 Simplifying Expressions             Study Skills: Taking Math Tests   2. Equations, Inequalities, and Applications 2.1 The Addition Property of Equality             Study Skills: Managing Your Time 2.2 The Multiplication Property of Equality             Study Skills: Analyzing Your Test Results 2.3 More on Solving Linear Equations             Study Skills: Using Study Cards Revisited             Summary Exercises Applying Methods for Solving Linear Equations 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Additional Applications from Geometry 2.6 Ratio, Proportion, and Percent             Summary Exercises Applying Problem-Solving Techniques 2.7 Solving Linear Inequalities   3. Graphs of Linear Equations and Inequalities in Two Variables; Functions 3.1 Linear Equations in Two Variables; The Rectangular Coordinate System             Study Skills: Preparing for Your Math Final 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line 3.4 Writing and Graphing Equations of Lines             Summary Exercises Applying Graphing and Equation-Writing Techniques for Lines 3.5 Graphing Linear Inequalities in Two Variables 3.6 Introduction to Relations and Functions 3.7 Function Notation and Linear Functions   4. Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination             Summary Exercises Applying Techniques for Solving Systems of Linear Equations 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities   5. Exponents and Polynomials 5.1 Adding and Subtracting Polynomials 5.2 The Product Rule and Power Rules for Exponents 5.3 Multiplying Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule             Summary Exercises Applying the Rules for Exponents 5.6 Dividing a Polynomial by a Monomial 5.7 Dividing a Polynomial by a Polynomial 5.8 An Application of Exponents: Scientific Notation   6. Factoring and Applications 6.1 Factors; The Greatest Common Factor 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials by Using the FOIL Method 6.5 Special Factoring Techniques 6.6 A General Approach to Factoring 6.7 Solving Quadratic Equations by Factoring 6.8 Applications of Quadratic Equations   7. Rational Expressions and Functions 7.1 Rational Expressions and Functions; Multiplying and Dividing 7.2 Adding and Subtracting Rational Expressions 7.3 Complex Fractions 7.4 Equations with Rational Expressions and Graphs             Summary Exercises Simplifying Rational Expressions vs Solving Rational Equations 7.5 Applications of Rational Expressions 7.6 Variation   8. Equations, Inequalities, and Systems Revisited 8.1 Review of Solving Linear Equations and Inequalities 8.2 Set Operations and Compound Inequalities 8.3 Absolute Value Equations and Inequalities             Summary Exercises Solving Linear and Absolute Value Equations and Inequalities 8.4 Review of Systems of Linear Equations in Two Variables 8.5 Systems of Linear Equations in Three Variables; Applications   9. Roots, Radicals, and Root Functions 9.1 Radical Expressions and Graphs 9.2 Rational Exponents 9.3 Simplifying Radical Expressions 9.4 Adding and Subtracting Radical Expressions 9.5 Multiplying and Dividing Radical Expressions             Summary Exercises Performing Operations with Radicals and Rational Exponents 9.6 Solving Equations with Radicals 9.7 Complex Numbers   10. Quadratic Equations, Inequalities, and Functions 10.1 Solving Quadratic Equations by the Square Root Property 10.2 Solving Quadratic Equations by Completing the Square 10.3 Solving Quadratic Equations by the Quadratic Formula 10.4 Equations Quadratic in Form             Summary Exercises Applying Methods for Solving Quadratic Equations 10.5 Formulas and Applications 10.6 Graphs of Quadratic Functions 10.7 More about Parabolas and Their Applications 10.8 Polynomial and Rational Inequalities   11. Inverse, Exponential, and Logarithmic Functions 11.1 Operations on Functions and Composition 11.2 Inverse Functions 11.3 Exponential Functions 11.4 Logarithmic Functions 11.5 Properties of Logarithms 11.6 Common and Natural Logarithms 11.7 Exponential and Logarithmic Equations and Their Applications   12. Nonlinear Functions, Conic Sections, and Nonlinear Systems 12.1 Additional Graphs of Functions; Operations and Composition 12.2 The Circle and the Ellipse 12.3 The Hyperbola and Other Functions Defined by Radicals 12.4 Nonlinear Systems of Equations 12.5 Second-Degree Inequalities and Systems of Inequalities   Appendix A: Review of Exponents, Polynomials, and Factoring (Transition from Introductory to Intermediate Algebra) Appendix B: Solving Systems of Linear Equations by Matrix Methods Appendix C: Synthetic Division Answers to Selected Exercises Solutions to Selected Exercises Index

IMPROVE RESULTS The Lial courses include all of MyMathLab’s robust features, plus these additional NEW highlights: Two MyMathLab course options are now available: Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation. New Ready-to-Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Both Lial course options include a pre-made pre- and post- test for every chapter, section-level homework with Guided Solutions exercises, Summary Exercise Homework assignments, and chapter review quiz linked to personalized homework.  These items are also pre-assigned in the Ready-to-Go courses. Guided Solution Exercises in the text margins and exercise sets guide students through the first few solution steps and are marked with a GS icon. To take this a step further, these new types of exercises are assignable in MyMathLab. The Lial Video Library includes the following resources, which all offer optional English and Spanish captioning: Section Lecture Videos offer a new navigation menu by example and objective. Solutions Clips for select exercises marked with a Play Button icon in the text and eText show an instructor working through complete solutions. Quick Review Lectures provide a summary of key concepts for each chapter. Chapter Test Prep Videos show solutions for Chapter Test exercises. They are also accessible by the Quick Response (QR) code on the inside back cover of the book or on YouTube. UPDATED AND EXPANDED! PowerPoint® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available for viewing on tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment. MySlideNotes files are posted in MyMathLab and available to be printed. Assignable Study Skills and Reading Connection material has been added. Improved parallel matched exercises offer more equivalent odd and even exercises for easier assignment creation. 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.   DRIVE STUDENT SUCCESS NEW features to supportive pedagogy, ample exercise sets, and extensive end-of-chapter material ensure success. 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. Vocabulary Tips in the margins help students learn root words and prefixes. Guided Solutions in margins and exercise sets, marked with a GS and assignable in MyMathLab, show the first steps to guide students as they learn a new procedure. 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.   SUPPORT STUDENTS AND INSTRUCTORS For Students MyWorkBook can be accessed within MyMathLab or packaged with the text or MyMathLab code, and provides the following resources for every section: Key vocabulary terms, and vocabulary practice problems Guided Examples and similar Practice Exercises, keyed to the text Objectives References to Examples, Section Lecture Videos, and Solutions Clips for more help Additional Practice Exercises with ample space for students to show their work The MySlideNotes workbook provides a note-taking tool based on the PowerPoint slides that accompany your text. Extra examples let students apply the concepts and procedures on the slides. Guided solutions break problems into small, manageable steps. Vocabulary practice ensures that students have a firm grasp of the key new terms. UPDATED AND EXPANDED! PowerPoint® slides include an objective based presentation; a fresh, interactive, animated design; Caution Notes; and are available in JavaScript for viewing on smartphones and tablets. They serve as an effective Self-Study or Lecture Replacement Resource for students in traditional, hybrid, lab-based, or online courses. These are available in MyMathLab to both students and instructors and are assignable as a media assignment.   For Instructors Teaching Tips have been added to margins of the Annotated Instructor’s Edition to help new and experienced instructors with class prep.   Content Changes We gave the exercise sets special attention. There are approximately 585 new and updated exercises, including problems that check conceptual understanding, focus on skill development, and provide review. We also worked to improve the even-odd pairing of exercises. Real-world data in over 200 applications in the examples and exercises has been updated. We increased the emphasis on checking solutions and answers, as indicated by a new CHECK tag and in the exposition and examples. In preparation for Chapter 3 and the material on forms of linear equations, Section 2.5 provides a new example and corresponding exercises on solving a linear equation in two variables x and y for y. Section 2.6 includes entirely new discussion and examples on percent, percent equations, and percent applications, plus corresponding exercises. Section 3.4 on writing and graphing equations of lines provides increased development and coverage of the solpe-intercept form, including two new examples. There is an enhanced objective on writing equations of horizontal and vertical lines. The former section Introduction to Functions has been divided into two sections for more flexible coverage. Section 3.6 has increased discussion of determining domain, and Section 3.7 includes more on finding function values from a graph. Both exercise sets have been expanded. Sections. 6.2—6.4 include three new examples on factoring trinomials. The discussion of recognizing the graph of a rational function in Section 7.4 has been expanded. Section 9.6 includes a new objective on using the power rule to solve a formula for a specified variable. The discussion of operations with and composition of functions has been moved to precede that of inverse functions. These topics now appear in new Section 11.1. The following topics are among those that have been enhanced and/or expanded: Using and completing tables when solving applications (throughout) Dividing real numbers involving zero (Section 1.6) Applying the properties of real numbers (Section 1.7) Solving applications involving consecutive integers and angle measures (Section 2.4) Using interval notation and solving linear inequalities (Section 2.7) Graphing linear equations in two variables using intercepts (Section 3.2) Solving systems of equations with decimal coefficients (Section 4.2) Finding numerical values of rational expressions and values for which rational expressions are undefined (Section 7.1) Emphasizing identification of the vertex, axis of symmetry, domain, and range of graphs of quadratic functions (Section 10.6) Graphing ellipses and hyperbolas whose centers are translated away from the origin (Sections 12.2 and 12.3)