R. Review R.1 Sets of Numbers R.2 Order of Operations and Properties of Real Numbers R.3 Algebraic Expressions   1. Equations and Inequalities in One Variable 1.1 Linear Equations in One Variable 1.2 Linear Inequalities in One Variable 1.3 Compound Inequalities; Absolute Value Equations and Inequalities 1.4 Formulas and Problem Solving   2. Graphs and Functions 2.1 The Rectangular Coordinate System and Graphing 2.2 Relations and Functions 2.3 Function Notation and Applications 2.4 Graphs of Linear Functions 2.5 Equations of Lines 2.6 Linear Inequalities in Two Variables   3. Systems of Linear Equations and Inequalities 3.1 Systems of Linear Equations in Two Variables 3.2 Systems of Linear Equations in Three Variables 3.3 More Problem Solving with Systems of Linear Equations 3.4 Systems of Linear Inequalities in Two Variables   4. Polynomial Expressions and Functions 4.1 Rules for Exponents 4.2 Introduction to Polynomial Functions 4.3 Multiplying Polynomials 4.4 Dividing Polynomials   5. Factoring 5.1 Greatest Common Factor and Factoring by Grouping 5.2 Factoring Trinomials 5.3 Special-Case Factoring; A General Factoring Strategy 5.4 Polynomial Equations and Models   6. Rational Expressions, Equations, and Functions 6.1 Introduction to Rational Expressions and Functions 6.2 Multiplying and Dividing Rational Expressions 6.3 Adding and Subtracting Rational Expressions 6.4 Complex Rational Expressions 6.5 Rational Equations and Models 6.6 Variation   7. Radicals and Rational Exponents 7.1 Radical Expressions 7.2 Radical Functions 7.3 Rational Exponents and Simplifying Radical Expressions 7.4 Operations with Radicals 7.5 Radical Equations and Models 7.6 Complex Numbers   8. Quadratic Equations and Functions; Circles 8.1 Solving Quadratic Equations 8.2 Quadratic Functions and Their Graphs 8.3 Applications and Modeling of Quadratic Functions 8.4 Circles 8.5 Polynomial and Rational Inequalities   9. Exponential and Logarithmic Functions and Equations 9.1 Transformations of Functions 9.2 Composite and Inverse Functions 9.3 Exponential Functions 9.4 The Natural Exponential Function 9.5 Logarithmic Functions 9.6 Properties of Logarithms 9.7 Exponential and Logarithmic Equations 9.8 Exponential and Logarithmic Models and Problem Solving   Appendix A: Conic Sections: Introduction to Conic Sections A.1 The Parabola A.2 The Ellipse A.3 Hyperbolas   Appendix B: Sequences and Series B.1 Introduction to Sequences and Series B.2 Arithmetic Sequences and Series B.3 Geometric Sequences and Series B.4 Binomial Theorem   Appendix C: Fractions, Decimals, Percents C.1 Fractions C.2 Decimals C.3 Proportions C.4 Percents    

The Trigsted eText is designed for the way students think and behave online. Students are engaged and motivated through timely hyperlinks to definitions, videos, and animations. The authors scripted and created all multimedia learning aids to provide a consistent voice throughout all resources. The eText is formatted to fit the screen without scrolling, and a cream-colored background enhances readability of the eText. Review links throughout the text help students refresh and recall key concepts. Just-in-time hyperlinks let students access vocabulary definitions, prerequisite skills, and multimedia learning aids. Animations require student participation in content often covered through long explanations in traditional textbooks. The authors believe students should not be idle when viewing media, especially when it presents key concepts. NEW! Concept Videos and Animations show the authors animating each chapter’s most difficult concepts directly on screen to capture students’ interest and create an active learning environment. Videos and Interactive Videos cover important examples, concepts, and procedures. Interactive videos prompt students to make decisions during the solution process, engaging them in active learning.   The Microphone Icon feature allows auditory learners to listen to the authors reading the text. Updated! The Task List in the Trigsted MyMathLab® course provides students with a strategy to navigate each section successfully. It reminds students that the first step in doing homework is reading the eText! This is followed by (#2) assignable Reading Assessment Questions, (#3) homework exercises, and (#4) section quizzes. Reading Assessment Questions, assignable in the Trigsted MyMathLab course, and part of the task list, allow instructors to assign reading! Students are given customized feedback on incorrect answers that include links back to the eText for easy reference. Additional support resources are also available to accompany this eText. The eText Reference is a spiral-bound, printed version of the eText that provides a place for students to do practice work and summarize key concepts from the online videos and animations. In addition to the benefits it provides students, the eText Reference is also a nice resource for those instructors that prefer a printed text for class preparation. The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. Kirk Trigsted has found that using this notebook in conjunction with the interactive eText is the #1 predictor of student success in his courses. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab. PowerPoint® slides provide an outline to use in a lecture setting, presenting definitions and key examples from the text. TestGen® www.pearsoned.com/testgen software enables instructors to build, edit, print, and administer tests using a computerized bank of questions developed to cover all the objectives of the text. The Mini-Guide shows how to use the interactive eText and points to more information about how instructors from across the country are using Trigsted and MyMathLab with great results 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.  

New and updated features Concept Videos and Animations show the authors animating each chapter’s most difficult concepts directly on screen to capture students’ interest and create an active learning environment. Updated! The Task List in the Trigsted MyMathLab® course provides students with a strategy to navigate each section successfully. It reminds students that the first step in doing homework is reading the eText! This is followed by (#2) assignable Reading Assessment Questions, (#3) homework exercises, and (#4) section quizzes. NEW Exercises: There are 1058 new exercises in the Second Edition. NEW Examples: There are 159 new examples in the Second Edition. NEW Example Videos:  There are 256 new example videos in the Second Edition NEW Example Interactive Video/Animation: There are 33 new example interactive videos. NEW Concept Animations/Videos: There are 79 new concept animations. Every example now has a video, interactive video, or animation associated with it. New “Tip” icon identified throughout the eText. Concept Animations (or concept videos) have been expanded to help explain key ideas.   Content Updates Former Section 1.3 (Compound Inequalities; Absolute Value Equations and Inequalities) has been split into two sections (1.3 Compound Inequalities, 1.4 Absolute Value Equations and Inequalities) New Section 1.5 (former 1.4): The application objective has been split into five objectives that more clearly define the type of application. Section 2.5: Two new objectives: Find the slopes of horizontal and vertical lines, and Find the slope and y-intercept of a line from its equations. Section 2.6: New objective: Solve applications involving linear inequalities in two variables. Section 3.2: New objective: Solve independent and dependent systems in three variables. Section 3.3: New objective: Use systems of equations to solve interest problems. Section 3.4: New objective: Solve applications involving systems of linear inequalities. Section 4.4: New objective: Divide monomials. Section 5.1: New objective: Find the greatest common factor of a group of monomials. Section 6.3: New objective: Write equivalent rational expressions. Section 6.5: New objective: Identify and solve proportions. Section 10.1 has been renamed “Introduction to Conic Sections; The Parabola.” Section 10.1: New objective: Identify conic sections. Appendices B and C have been added: Solving systems of linear equations using matrices, and Determinants and Cramer’s Rule.