Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises. Chapter 1: Review of the Real Number System1.1 Basic Concepts1.2 Operations on Real Numbers1.3 Exponents, Roots, and Order of Operations1.4 Properties of Real Numbers                Chapter 2: Linear Equations, Inequalities, and Applications2.1 Linear Equations in One Variable2.2 Formulas2.3 Applications of Linear Equations2.4 Further Applications of Linear EquationsSummary Exercises on Solving Applied Problems2.5 Linear Inequalities in One Variable2.6 Set Operations and Compound Inequalities2.7 Absolute Value Equations and InequalitiesSummary Exercises on Solving Linear and Absolute Value Equations and Inequalities Chapter 3: Graphs, Linear Equations, and Functions3.1 The Rectangular Coordinate System3.2 The Slope of a Line3.3 Linear Equations in Two VariablesSummary Exercises on Slopes and Equations of Lines3.4 Linear Inequalities in Two Variables3.5 Introduction to Functions Chapter 4: Systems of Linear Equations4.1 Systems of Linear Equations in Two Variables4.2 Systems of Linear Equations in Three Variables4.3 Applications of Systems of Linear Equations4.4 Solving Systems of Linear Equations by Matrix Methods Chapter 5: Exponents, Polynomials, and Polynomial Functions5.1 Integer Exponents and Scientific Notation5.2 Adding and Subtracting Polynomials5.3 Polynomial Functions, Graphs, and Composition 5.4 Multiplying Polynomials5.5 Dividing Polynomials Chapter 6: Factoring6.1 Greatest Common Factors; Factoring by Grouping6.2 Factoring Trinomials6.3 Special Factoring6.4 A General Approach to Factoring6.5 Solving Equations by Factoring Chapter 7: Rational Expressions and Functions7.1 Rational Expressions and Functions; Multiplying and Dividing7.2 Adding and Subtracting Rational Expressions7.3 Complex Fractions7.4 Equations with Rational Expressions and GraphsSummary Exercises on Rational Expressions and Equations7.5 Applications of Rational Expressions7.6 Variation Chapter 8: Roots, Radicals, and Root Functions8.1 Radical Expressions and Graphs8.2 Rational Exponents8.3 Simplifying Radical Expressions8.4 Adding and Subtracting Radical Expressions8.5 Multiplying and Dividing Radical ExpressionsSummary Exercises on Operations with Radicals and Rational Exponents8.6 Solving Equations with Radicals8.7 Complex Numbers Chapter 9 Quadratic Equations, Inequalities, and Functions9.1 The Square Root Property and Completing the Square9.2 The Quadratic Formula9.3 Equations Quadratic in FormSummary Exercises on Solving Quadratic Equations9.4 Formulas and Further Applications9.5 Graphs of Quadratic Functions9.6 More about Parabolas and Their Applications9.7 Quadratic and Rational Inequalities Chapter 10: Inverse, Exponential, and Logarithmic Functions10.1 Inverse Functions10.2 Exponential Functions 10.3 Logarithmic Functions10.4 Properties of Logarithms10.5 Common and Natural Logarithms10.6 Exponential and Logarithmic Equations; Further Applications Chapter 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems11.1 Additional Graphs of Functions11.2 The Circle and the Ellipse11.3 The Hyperbola and Functions Defined by Radicals11.4 Nonlinear Systems of Equations11.5 Second-Degree Inequalities and Systems of Inequalities Chapter 12: Sequences and Series12.1 Sequences and Series12.2 Arithmetic Sequences12.3 Geometric Sequences12.4 The Binomial Theorem AppendixesA: An Introduction to CalculatorsB: Determinants and Cramer's RuleC: Synthetic Division

Thousands of exercises of many types are available throughout the text. Lial’s extensive end-of-section exercises offer students many ways to practice and master the material they have just learned. NEW: Students can watch an instructor work through the complete solutions for exercises correlated to examples in the text on the Video Lectures on CD or DVD with Solution Clips.  All exercises with a full solution available are marked with a CD icon in the end-of-section exercise sets. Relating Concepts exercises tie together topics and highlight the relationships among various concepts and skills. Group Activities at the end of each chapter allow students to work collaboratively to solve a problem related to the chapter material.  Summary Exercises are included where needed to provide students with the all-important mixed review problems they need to master difficult topics. Summaries of solution methods or additional examples are often included. Technology Insights exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (Note: a graphing calculator is NOT required to complete these exercises).The chapter summary material provides students with ample opportunity for review. At the end of each chapter, students will find the following resources: Key Terms and Symbols are keyed back to the appropriate section for easy reference and study. Test Your Word Power helps students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in a multiple-choice format. Quick Review sectionsgive students not only the main concepts from the chapter (referenced back to the appropriate section), but also an example of each concept. Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problem if they need help. Mixed Review Exercises require students to solve problems without the help of section references. Chapter Tests help students practice for the real thing.  Cumulative Review Exercises gather various types of exercises from preceding chapters to help students retain what they are learning throughout the course. NEW: The Pass the Test CD in the back of the text offers interactive versions of the “Key Terms” and “Test Your Word Power” from each chapter.  Students can also watch summary lectures for each concept from the “Quick Review” and video footage of an instructor working through the complete solution for every exercise from the chapter tests.Lial’s student-friendly examples have been further enhanced in this revision with new pointers from the authors that warn students about common pitfalls.  Each example will still conclude by asking students to “Now Try” one or more parallel exercises from the corresponding exercise set so that students can immediately reinforce the concepts and skills presented in the examples. NEW: Students can now watch an instructor working through the solution to one “Now Try” exercise for every example in the text on the new Video Lectures on CD or DVD with Solution Clips. The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems. Helpful text features keep students motivated and interested in the reading: A comprehensive glossary of key terms from throughout the text is included at the back of the book. Real-world applications found throughout the text have been updated to keep students motivated. Learning objectives are reinforced throughout each section as the objective is relisted where appropriate so that students always know exactly what is being covered. Note boxes appear throughout the text to emphasize important ideas to the reader. Caution boxes warn students about common errors. Connections boxes provide thought-provoking questions for writing or class discussion through connections to other mathematical concepts, real-world examples, or historical background. Problem Solving Hints boxes provide students with problem-solving tips and strategies.Classroom Examples andTeaching Tips are located in the margins of the Annotated Instructor’s Edition. They give instructors examples to use in class that differ from those in the student text and offer guidance on presenting the material at hand. TheAnnotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single-column format whenever possible.

Content Changes:Applications and Exercises have been updated The authors have also added new real-data applications and new exercises, including many that focus on skill development. Chapter 3 includes a new set of summary exercises on slopes and equations of lines. Variation, formerly covered in Chapter 3, now appears in Section 7.6. Composition of functions is now covered in Section 5.3. The presentation of the following topics has been expanded: Review of fractions (Sections 1.1) Compound inequalities (Section 2.6) Midpoint formula (Section 3.1) Graphs of linear and constant functions (Section 3.5) Composition of functions (Section 5.3) Summary Exercises on Operations with Radicals and Rational Exponents (Chapter 8)New and Enhanced Features:Pass the Test: Chapter Test Solutions on Video with Interactive Chapter Summaries on CD, included with each new copy of the student text, offers the following tools for each chapter: Interactive “Key Terms” with definitions Interactive “Test Your Word Power” vocabulary exercises Summary lectures for each key concept from the “Quick Review” for each chapter Video footage of an instructor working through the complete solutions for all chapter test problemsPreview Exercises at the end of each section exercise set help students transition from one section to the next. "Tab Your Way to Success" Guide provides students with color-coded Post-It® tabs to mark important pages of the text that they may need to return to for review work, test preparation, instructor help, etc. Pointers from the authors in the examples provide on-the-spot reminders and warnings about common pitfalls, making examples even more student-friendly. Several types of exercises have been highlighted by the authors throughout the exercise sets: Concept Check exercises that facilitate mathematical thinking and conceptual understanding Brain Busters that will challenge students What Went Wrong? exercises that will ask students to identify typical errors in solutions and then work the problems correctlyHand-drawn graphs introduce new types of graphs to students in an approachable way. Classroom Examples andTeaching Tips are located in the margins of the Annotated Instructor Edition. They give instructors examples to use in class that differ from those in the student text and offer guidance on presenting the material at hand. The Annotated Instructor's Edition provides instructors with answers to all exercises, now in an easy-to-read single column format whenever possible. New to the Media Package:In addition to offering students a full lecture on each section of the text, the new Video Lectures on CD or DVD with Solution Clips will now give students the option to watch an instructor working through the complete solution to exercises that have been correlated to all examples in the text (one exercise solution per example). English and Spanish captions are available for the lecture portion of the CD product. Several new features have been added to the Lial MyMathLab™ course: Interactive “Key Terms” with definitions for each chapter Interactive “Test Your Word Power” for each chapter Summary lectures for each key concept from the “Quick Review” for each chapter Video footage of an instructor working through the complete solutions for all chapter test problems Interactive “Build the Equation” activities for select word problems A Spanish Glossary that contains Spanish translations of common mathematical terms New to the Instructor Supplements Package:PowerPoint®Lecture Slides include full solutions for the classroom examples from the Annotated Instructor’s Edition and present key concepts and definitions from the text. Active Learning Lecture Slides, available in PowerPoint®, can be used with classroom response systems. Multiple-choice questions are available for each section of the text, allowing instructors to quickly assess mastery of the material in class. Online Lesson Plans are available for each section of the text, along with worksheets that cover additional topics. In addition to a full bank of questions for each chapter, the TestGen® testbank will now feature a pre-made test for each chapter that has been matched problem-by-problem to the chapter tests from the text. This new feature allows instructors to easily create tests similar to those in the book for extra practice or assessment purposes.