Study Skills Study Skill 1: Using Your Math TextStudy Skill 2: Reading Your Math TextStudy Skill 3: Taking Lecture NotesStudy Skill 4: Completing Your HomeworkStudy Skill 5: Using Study CardsStudy Skill 6: Managing Your TimeStudy Skill 7: Reviewing a ChapterStudy Skill 8: Taking Math TestsStudy Skill 9: Analyzing Your Test ResultsStudy Skill 10: Preparing for Your Math Final Review of the Real Number System R.1 Fractions, Decimals, and PercentsR.2 Basic Concepts from AlgebraR.3 Operations on Real NumbersR.3 Exponents, Roots, and Order of OperationsR.4 Properties of Real NumbersChapter R SummaryChapter R TestLinear Equations, Inequalities, and Applications 1.1 Linear Equations in One Variable1.2 Formulas and Percent1.3 Applications of Linear Equations1.4 Further Applications of Linear Equations Summary Exercises: Applying Problem-Solving Techniques1.5 Linear Inequalities in One Variable1.6 Set Operations and Compound Inequalities1.7 Absolute Value Equations and InequalitiesSummary Exercises: Solving Linear and Absolute Value Equations and InequalitiesChapter 1 SummaryChapter 1 Review ExercisesChapter 1 Mixed Review ExercisesChapter 1 TestChapters R and 1 Cumulative Review ExercisesLinear Equations, Graphs, and Functions 2.1 Linear Equations in Two Variables Study Skills: Managing Your Time2.2 The Slope of a Line2.3 Writing Equations of Lines Summary Exercises: Finding Slopes and Equations of Lines2.4 Linear Inequalities in Two Variables2.5 Introduction to Relations and Functions2.6 Function Notation and Linear FunctionsChapter 2 SummaryChapter 2 Review ExercisesChapter 2 Mixed Review ExercisesChapter 2 TestChapters R–2 Cumulative Review ExercisesSystems of Linear Equations 3.1 Systems of Linear Equations in Two Variables3.2 Systems of Linear Equations in Three Variables3.3 Applications of Systems of Linear EquationsChapter 3 SummaryChapter 3 Review ExercisesChapter 3 Mixed Review ExercisesChapter 3 TestChapters R–3 Cumulative Review ExercisesExponents, Polynomials, and Polynomial Functions 4.1 Integer Exponents4.2 Scientific Notation4.3 Adding and Subtracting Polynomials4.4 Polynomial Functions, Graphs, and Composition4.5 Multiplying Polynomials4.6 Dividing PolynomialsChapter 4 SummaryChapter 4 Review ExercisesChapter 4 Mixed Review ExercisesChapter 4 TestChapters R–4 Cumulative Review ExercisesFactoring 5.1 Greatest Common Factors and Factoring by Grouping5.2 Factoring Trinomials5.3 Special Factoring5.4 A General Approach to Factoring5.5 Solving Equations by the Zero-Factor PropertyChapter 5 SummaryChapter 5 Review ExercisesChapter 5 Mixed Review ExercisesChapter 5 TestChapters R–5 Cumulative Review ExercisesRational Expressions and Functions 6.1 Rational Expressions and Functions; Multiplying and Dividing6.2 Adding and Subtracting Rational Expressions6.3 Complex Fractions6.4 Equations with Rational Expressions and Graphs Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations6.5 Applications of Rational Expressions6.6 VariationChapter 6 SummaryChapter 6 Review ExercisesChapter 6 Mixed Review ExercisesChapter 6 TestChapters R–6 Cumulative Review ExercisesRoots, Radicals, and Root Functions 7.1 Radical Expressions and Graphs7.2 Rational Exponents7.3 Simplifying Radicals, the Distance Formula, and Circles7.4 Adding and Subtracting Radical Expressions7.5 Multiplying and Dividing Radical Expressions Summary Exercises: Performing Operations with Radicals and Rational Exponents7.6 Solving Equations with Radicals7.7 Complex NumbersChapter 7 SummaryChapter 7 Review ExercisesChapter 7 Mixed Review ExercisesChapter 7 TestChapters R–7 Cumulative Review ExercisesQuadratic Equations, Inequalities, and Functions 8.1 The Square Root Property and Completing the Square8.2 The Quadratic Formula8.3 Equations That Lead to Quadratic Methods Summary Exercises: Applying Methods for Solving Quadratic Equations8.4 Formulas and Further Applications8.5 Graphs of Quadratic Functions8.6 More about Parabolas and Their Applications8.7 Polynomial and Rational InequalitiesChapter 8 SummaryChapter 8 Review ExercisesChapter 8 Mixed Review ExercisesChapter 8 TestChapters R–8 Cumulative Review ExercisesInverse, Exponential, and Logarithmic Functions 9.1 Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithms9.5 Common and Natural Logarithms9.6 Exponential and Logarithmic Equations; Further ApplicationsChapter 9 SummaryChapter 9 Review ExercisesChapter 9 Mixed Review ExercisesChapter 9 TestChapters R–9 Cumulative Review ExercisesNonlinear Functions, Conic Sections, and Nonlinear Systems 10.1 Additional Graphs of Functions10.2 Circles Revisited and Ellipses10.3 Hyperbolas and Functions Defined by Radicals10.4 Nonlinear Systems of Equations10.5 Second-Degree Inequalities and Systems of InequalitiesChapter 10 SummaryChapter 10 Review ExercisesChapter 10 Mixed Review ExercisesChapter 10 TestChapters R-10 Cumulative Review ExercisesFurther Topics in Algebra 11.1 Sequences and Series11.2 Arithmetic Sequences11.3 Geometric Sequences11.4 The Binomial TheoremChapter 11 SummaryChapter 11 Review ExercisesChapter 11 Mixed Review ExercisesChapter 11 TestChapters R-11 Cumulative Review Exercises Appendix A: Synthetic Division Answers to Selected Exercises Credits Index

Balancing skills and concepts for the developmental student A teacherly writing style walks students through key points of understanding with the aim of readability for the developmental math student.Examples with pointers provide tips from the authors for on-the-spot notes and cautions about common pitfalls.Now Try Exercises are included as a parallel margin exercise for each numbered example. These exercises immediately apply and reinforce the concepts and skills presented in corresponding examples. Comprehensive exercise sets balance students’ procedural skills with conceptual understanding to provide the optimal practice experience to master the topics. In this revision, the conceptual exercises in particular have been increased to ensure that students’ understanding goes beyond rote procedures.Expanded - Concept Check exercises have been increased in this revision. These exercises facilitate students’ conceptual understanding at the start of exercise sets, and often emphasize new vocabulary. A type of Concept Check exercise, What Went Wrong exercises, have more than doubled in this revision. These ask students to determine an error in a worked problem, to ensure that they understand common mistakes and realize why those errors are incorrect. Identifying and correcting a mistake requires a higher level of critical thinking.Expanded - Relating Concepts exercises have been increased in the revision. Relating Concepts exercise sets tie the topics together and highlight the relationships among various concepts and skills. They work well for individual or group work. These are assignable in MyLab Math.Summary exercises are carefully placed in every chapter to provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included.Additional exercises types include Extending Skills exercises, applications, matching, and fill-in-the-blank problems, all with the aim of arming students with a solid understanding of skills and concepts. End of chapter material offers ample opportunity for review. At the end of every chapter, students will find Key Terms and Symbols, Quick Review summaries, Chapter Review exercises, and the all-important Mixed Review. They can also assess their understanding with a Chapter Test and Cumulative Review to retain what they’ve learned thus far.  Test Your Word Power exercises in each Chapter Summary help students master mathematical vocabulary, so often a hurdle at this level. Chapter Tests include a fully worked out video solution for every exercise in the Chapter Test. Resources to support any classroom Updated - The extensive video program is updated to be as current as possible:An updated section lecture program covers every section of the text. The majority of these videos have been re-filmed for the revision for a visually modern presentation sty. Additionally, shorter solution clip videos, Chapter Test Prep videos, and Quick Review section summary videos are part of the Lial video program, providing a video type for any need.No matter how an instructor wants to use or recommend videos for their course, there’s an option that will work for what they or their students need, and all videos include both English and Spanish closed captioning and can be played on mobile devices. A Guided Notebook helps students develop organized notes as they work through the course, establishing a good habit while also emphasizing the importance of writing and keeping mathematical work. The Guided Notebook includes Guided Examples with Now Try exercises, extra practice, and key vocabulary terms with vocab practice, for every section from the text. Options for underprepared students To ensure students are caught up on prior skills, every Lial MyLab course now includes Integrated Review.Integrated Review provides embedded and personalized review of prerequisite topics within relevant chapters. Students can check their prerequisite skills, and receive personalized practice on the topics they need to focus on, with study aids like worksheets and videos also available to help. Integrated Review assignments - including a Skills Check and personalized homework for the review topics - are premade and available to assign in the Assignment Manager. The review homework includes videos and worksheets as learning aids for relevant exercises to give students remediation right where they need it. Integrated Review can support a corequisite course model, or any course where students would benefit from review.  New - Learning Catalytics questions have been premade for every section of the text, giving instructors an easy starting point to take advantage of this learning tool. Premade questions for each section, noted in blue in the Annotated Instructor’s Edition margins, cover prerequisite skills students should be caught up on before starting the section. Learning Catalytics, available through MyLab Math, is an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Updated - Study Skills support has been moved up to the front of each text in this revision. These short activities provide helpful information, tips, and strategies on a variety of essential skills, and include ways for students to try out the strategy on their own. Study Skills Reminders throughout the text bring students’ attention to these study skills strategies to ensure that students incorporate these strategies all semester.New - Skill Builder assignments in MyLab Math 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.New - A Mindset module is available in the course, with growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity. Also available with MyLab Math  MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math. Teach your course your way Flexible platform - Your course is unique. Whether you’d like to build your own assignments, structure students’ work with a learning path, or set prerequisites, you have the flexibility to easily create your course to fit your needs.Preparedness - Options for addressing student preparedness include Integrated Review content, Learning Catalytics questions, and study skills materials. Empower each learner Personalized learning - Options to personalize learning with MyLab Math include personalized homework, where a students’ assignments are personalized based on a quiz or test, and Skill Builder assignments which provide in-assignment remediation. Motivation - Engage students using their own devices with new Learning Catalytics questions, available through MyLab Math, that check students’ prerequisite skills for each section in a low-stakes engaging way. Deliver trusted content Author-specific MyLab content - Every exercise in the MyLab is created based on the Lial texts, ensuring that students have a consistent experience. Other resources in the MyLab, such as the videos, are created for the Lial program specifically, to infuse the authors’ approach into the course.Conceptual understanding - Expanded Relating Concepts and Concept Check exercises in the text are assignable in MyLab Math to encourage students to connect ideas and see the bigger picture.

Updated and expanded features in the text provide students with resources for preparedness and conceptual understanding.  Relating Concepts exercises have been increased in the revision. Relating Concepts exercise setstie the topics together and highlight the relationships among various concepts and skills. They work well for individual or group work. These are assignable in MyLab Math.What Went Wrong exercises have more than doubled in this revision. These ask students to determine an error in a worked problem, to ensure that they understand common mistakes and realize why those errors are incorrect. Identifying and correcting a mistake requires a higher level of critical thinking.Study Skills support has been moved up to the front of each text in this revision. These short activities provide helpful information, tips, and strategies on a variety of essential skills, and include ways for students to try out the strategy on their own. Study Skills Reminders throughout the text bring students’ attention to these study skills strategies to ensure that students incorporate these strategies all semester. Also available with MyLab Math  Increased conceptual questions in the text, including Relating Concepts and What Went Wrong exercises, are assignable in MyLab Math. The extensive video program is updated to be as current as possible:A revised section lecture program covers every section of the text, and the majority of these videos have been re-filmed for a more visually appealing and modern presentation style. Additionally, shorter solution clip videos, Chapter Test Prep videos, and Quick Review section summary videos are part of the Lial video program, providing a video type for any need! No matter how an instructor wants to use or recommend videos for their course, there’s an option that will work for what they or their students need, and all videos include both English and Spanish closed captioning and can be played on mobile devices. New Learning Catalytics questions have been premade for every section of the text, giving instructors an easy starting point to take advantage of this learning tool. Premade questions for each section, noted in blue in the Annotated Instructor’s Edition margins, cover prerequisite skills students should be caught up on before starting the section. Learning Catalytics, available through MyLab Math, is an interactive, student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. New Skill Builder assignments in MyLab Math 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 new Mindset module is available in the course, with growth mindset-focused videos and exercises that encourage students to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as a learning opportunity.