Index of Applications Preface   R. Review of Basic Algebra: Part 1: Operations R.1 The Set of Real Numbers R.2 Operations with Real Numbers R.3 Exponential Notation and Order of Operations Part 2: Manipulations R.4 Introduction to Algebraic Expressions R.5 Equivalent Algebraic Expressions R.6 Simplifying Algebraic Expressions R.7 Properties of Exponents and Scientific Notation             Summary and Review             Test   1. Solving Linear Equations and Inequalities 1.1 Solving Equations 1.2 Formulas and Applications 1.3 Applications and Problem Solving             Mid-Chapter Review 1.4 Sets, Inequalities, and Interval Notation             Translating for Success 1.5 Intersections, Unions, and Compound Inequalities 1.6 Absolute-Value Equations and Inequalities             Summary and Review             Test   2. Graphs, Functions, and Applications 2.1 Graphs of Equations 2.2 Functions and Graphs 2.3 Finding Domain and Range             Mid-Chapter Review 2.4 Linear Functions: Graphs and Slope 2.5 More on Graphing Linear Equations Visualizing for Success 2.6 Finding Equations of Lines; Applications             Summary and Review             Test             Cumulative Review   3. Systems of Equations 3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution 3.3 Solving by Elimination 3.4 Solving Applied Problems: Two Equations             Translating for Success             Mid-Chapter Review 3.5 Systems of Equations in Three Variables 3.6 Solving Applied Problems: Three Equations 3.7 Systems of Inequalities in Two Variables             Visualizing for Success             Summary and Review             Test             Cumulative Review   4. Polynomials and Polynomial Functions 4.1 Introduction to Polynomials and Polynomial Functions 4.2 Multiplication of Polynomials 4.3 Introduction to Factoring 4.4 Factoring Trinomials: x2 + bx + c             Mid-Chapter Review 4.5 Factoring Trinomials: ax2 + bx + c, a ≠ 1 4.6 Special Factoring             Visualizing for Success 4.7 Factoring: A General Strategy 4.8 Applications of Polynomial Equations and Functions Translating for Success             Summary and Review             Test             Cumulative Review   5. Rational Expressions, Equations, and Functions 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying 5.2 LCMs, LCDs, Addition, and Subtraction 5.3 Division of Polynomials 5.4 Complex Rational Expressions             Mid-Chapter Review 5.5 Solving Rational Equations 5.6 Applications and Proportions             Translating for Success 5.7 Formulas and Applications 5.8 Variation and Applications             Summary and Review             Test             Cumulative Review   6. Radical Expressions, Equations, and Functions 6.1 Radical Expressions and Functions 6.2 Rational Numbers as Exponents 6.3 Simplifying Radical Expressions 6.4 Addition, Subtraction, and More Multiplication             Mid-Chapter Review 6.5 More on Division of Radical Expressions 6.6 Solving Radical Equations 6.7 Applications Involving Powers and Roots             Translating for Success 6.8 The Complex Numbers             Summary and Review             Test             Cumulative Review   7. Quadratic Equations and Functions 7.1 The Basics of Solving Quadratic Equations 7.2 The Quadratic Formula 7.3 Applications Involving Quadratic Equations             Translating for Success 7.4 More on Quadratic Equations             Mid-Chapter Review 7.5 Graphing f(x) = a(x - h)2 + k 7.6 Graphing f(x) = ax2 + bx + c             Visualizing for Success 7.7 Mathematical Modeling with Quadratic Functions 7.8 Polynomial Inequalities and Rational Inequalities             Summary and Review             Test             Cumulative Review   8. Exponential Functions and Logarithmic Functions 8.1 Exponential Functions 8.2 Composite Functions and Inverse Functions 8.3 Logarithmic Functions 8.4 Properties of Logarithmic Functions             Mid-Chapter Review 8.5 Natural Logarithmic Functions Visualizing for Success 8.6 Solving Exponential Equations and Logarithmic Equations 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions             Translating for Success             Summary and Review             Test             Cumulative Review   9. Conic Sections 9.1 Parabolas and Circles 9.2 Ellipses             Mid-Chapter Review 9.3 Hyperbolas Visualizing for Success 9.4 Nonlinear Systems of Equations             Summary and Review             Test             Cumulative Review   Appendices A. Fraction Notation B. Determinants and Cramer’s Rule C. Elimination Using Matrices D. The Algebra of Functions   Answers Guided Solutions Glossary Index Additional Instructor’s Answers  

Improve Results With MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights. NEW! Two MyMathLab course options are now available: Standard MyMathLab courses allow instructors to build their courses 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 also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding. NEW! Increased coverage of skill-building, conceptual, and applications exercises, as well as new assignable Guided-Solution exercises, Skill Checks, and Reading Checks. NEW! Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures. NEW! Bittinger Video Program includes all new To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include newInteractive Your Turn Exercises, where students solve exercises and receive instant feedback on their work.  The videos also can be used hand-in-hand with the new MyMathGuide workbook. NEW! MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in MyMathLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review —along with problem-solving practice, where students can fill-in the steps to guided solution problems. It can be used together with the To-the-Point Objective Video program—and students can fill-in steps as they watch the videos, listen to the instructor lecture, or read the textbook. It is a loose-leaf workbook with space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses. 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 closed captioning.   Guide Students’ Learning—Students are encouraged to use Your Guide to Success in Math, a four-step Learning Path and checklist available in the front of the text and incorporated into the Ready to Go MyMathLab courses. The guide will help students identify the resources in the textbook, supplements, and MyMathLab that support their learning style. Step 1: Learn the Skills and Concepts—Students have several options for learning and practicing the math concepts. NEW!Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice. Textbook / eText. The textbook or eText is a great starting point for students to learn the material. It includes the hallmark Bittinger pedagogy with Skill to Review exercises at the start of each section, and  Margin Exercises, plus NEW! Guided Solutions. The Guided Solution exercises are select margin exercises within the text that allow students to fill-in the blanks to learn how to work through the problem. These problem types are also assignable in MyMathLab, where the exercises are broken down into smaller steps for students to fill-in as they work through the problem. The NEW! To-the-Point Objective Videos and NEW! MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material. Step 2: Check Your Understanding—Students have frequent opportunities to check their work and confirm that they understand skills and concepts before moving on: NEW! Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab. NEW! Active Learning Figuresare also a great resource to help students understand the concepts. Step 3: Do Your Homework—The text andMyMathLab courses have a wealth of proven and updated exercises, including the new assignable exercises in MyMathLab described above. Step 4: Review and Test Your Understanding—Students have a variety of resources to check their skills and understanding along the way and to help them prepare for tests. In the text, Mid-Chapter Reviews, Chapter Summary and Review, Chapter Tests, and Cumulative Reviews offer students regular, comprehensive review and reinforcement.  Chapter Test Prep Videos are also available to show worked-out solutions to all the end-of-chapter tests. These are accessible in MyMathLab and on YouTube. In MyMathLab, instructors can assign prebuilt tests or create paper tests using TestGen Software.   Reinforce Study Skills—Developing solid time-management, note-taking, test-taking, and other study skills is key to student success in math courses (as well as professionally and personally). Instructors can direct students to related study skills resources as needed. NEW!Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests). NEW!Studying for Success. Checklists of study skills—designed to ensure that students develop the skills they need to succeed in math, school, and life—are integrated throughout the text at the beginning of selected sections. NEW! Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:  Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.  Study Skills, including topics such as Time Management and Preparing for and Taking Exams. College Success, including topics such as College Transition and Online Learning. Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.  

Improve Results With MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights. Two MyMathLab course options are now available: Standard MyMathLab courses allow instructors to build their courses their way, offering maximum  flexibility and control over all aspects of assignment creation.  Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding. Increased coverage of skill-building, conceptual, and applications exercises, as well as new assignable Guided-Solution exercises, Skill Checks, and Reading Checks. Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures. Bittinger Video Program includes all new To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include newInteractive Your Turn Exercises, where students solve exercises and receive instant feedback on their work.  The videos also can be used hand-in-hand with the new MyMathGuide workbook. MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in MyMathLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review —along with problem-solving practice, where students can fill-in the steps to guided solution problems. It can be used together with the To-the-Point Objective Video program—and students can fill-in steps as they watch the videos, listen to the instructor lecture, or read the textbook. It is a loose-leaf workbook with space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses.   Guide Students’ Learning Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice. To-the-Point Objective Videos and MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material. Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab. Active Learning Figuresare also a great resource to help students understand the concepts.   Reinforce Study Skills Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests). Studying for Success. Checklists of study skills—designed to ensure that students develop the skills they need to succeed in math, school, and life—are integrated throughout the text at the beginning of selected sections. Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:  Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.  Study Skills, including topics such as Time Management and Preparing for and Taking Exams. College Success, including topics such as College Transition and Online Learning. Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.   Content Changes Chapter 8 (Exponential and Logarithmic Functions)–Changed order of objectives in Section 8.2: Objective (d) is now Objective (a) in the Twelfth Edition. Objectives (a), (b), (c) are now Objectives (b), (c), (d) in the Twelfth Edition. Objective (e) remains Objective (e) in the Twelfth Edition.