1. Prealgebra Review
   • R.1 Factors and the Least Common Multiple
   • R.2 Fractions
   • R.3 Decimals and Percents
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
2. Real Numbers and Introduction to Algebra
   • 1.1 Study Skills Tips for Sucess in Mathematics
   • 1.2 Symbols and Sets of Numbers
   • 1.3 Expnents, Order of Operations, and Variable Expressions
   • 1.4 Adding Real Numbers
   • 1.5 Subtracting Real Numbers
     • Integrated Review - Operations on Real Numbers
   • 1.6 Multiplying and Dividing Real Numbers
   • 1.7 Properties of Real Numbers
   • 1.8 Simplifying Expressions
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
3. Equations, Inequalities, and Problem Solving
   • 2.1 The Addition Property of Equality
   • 2.2 The Multiplication Property of Equality
   • 2.3 Further Solving Linear Equations
     • Integrated Review - Solving Linear Equations
   • 2.4 An Introduction to Problem Solving
   • 2.5 Formulas and Problem Solving
   • 2.6 Percent and Mixture Problem Solving
   • 2.7 Linear Inequalities and Problem Solving
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
4. Graphing Equations and Inequalities
   • 3.1 Reading Graphs and the Rectangular Coordinate System
   • 3.2 Graphing Linear Equations
   • 3.3 Intercepts
   • 3.4 Slope and Rate of Change
     • Integrated Review - Summary on Solving Linear Equations
   • 3.5 Equations of Lines
   • 3.6 Graphing Linear Inequalities in Two Variables
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
5. Systems of Equations
   • 4.1 Solving Systems of Linear Equations by Graphing
   • 4.2 Solving Systems of Linear Equations by Substitution
     • Integrated Review - Summary on Solving Systems of Equations
   • 4.3 Solving Systems of Linear Equations by Addtion
   • 4.4 Systems of Linear Equations and Problem Solving
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
6. Exponents and Polynomials
   • 5.1 Exponents
   • 5.2 Negative Exponents and Scientific Notation
   • 5.3 Introduction to Polynomials
   • 5.5 Multiplying Polynomials
   • 5.6 Special Products
     • Integrated Review - Exponents and Operations on Polynomials
   • 5.7 Dividing Polynomials
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
7. Factoring Polynomials
   • 6.1 The Greatest Common Factor and Factoring by Grouping
   • 6.2 Factoring Trinomials of the Form x² + bx + c
   • 6.3 Factoring Trinomials of the Form ax² + bx + c
   • 6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping
   • 6.5 Factoring by Special Products
     • Integrated Review - Choosing a Factoring Strategy
   • 6.6 Solving Quadratic Equations and Problem Solving
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
8. Rational Expressions
   • 7.1 Simplifying Rational Expressions
   • 7.2 Multiplying and Dividing Rational Expressions
   • 7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
   • 7.4 Adding and Subtracting Rational Expressions with Different Denominators
   • 7.5 Solving Equations Containing Rational Expressions
     • Integrated Review - Summary on Rational Expressions
   • 7.6 Proportions and Problem Solving with Rational Equations
   • 7.7 Simplifying Complex Fractions
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
9. Graphs and Functions
   • 8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
   • 8.2 Introduction to Functions
   • 8.3 Polynomial and Rational Functions
     • Integrated Review - Linear Equations in Two Variables and Functions
   • 8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions
   • 8.5 Shifting and Reflecting Graphs of Functions
   • Group Activity
   • Vocabulary Check
   • Chapter Highlights
   • Chapter Review
   • Chapter Test
   • Cumulative Review
10. Systems of Equations and Inequalities and Variation
    • 9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
    • 9.2 Solving Systems of Equations Using Matrices
      • Integrated Review - Systems of Linear Equations
    • 9.3 Systems of Linear Inequalities
    • 9.4 Variation and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
11. Rational Exponents, Radicals, and Complex Numbers
    • 10.1 Radical Expressions and Radical Functions
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Adding, Subtracting, and Multiplying Radical Expressions
    • 10.5 Rationalizing Numerators and Denominators of Radical Expressions
      • Integrated Review - Radicals and Rational Exponents
    • 10.6 Radical Equations and Problem Solving
    • 10.7 Complex Numbers
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
12. Quadratic Equations and Functions
    • 11.1 Solving Quadratic Equations by Completing the Square
    • 11.2 Solving Quadratic Equations by Using the Quadratic Formula
    • 11.3 Solving Equations by Using Quadratic Methods
      • Integrated Review - Summary on Solving Quadratic Equations
    • 11.4 Nonlinear Inequalities in One Variable
    • 11.5 Quadratic Functions and Their Graphs
    • 11.6 Further Graphing of Quadratic Functions
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
13. Exponential and Logarithmic Functions
    • 12.1 The Algebra of Functions
    • 12.2 Inverse Functions
    • 12.3 Exponential Functions
    • 12.4 Exponential Functions
    • 12.5 Logarithmic Functions
    • 12.6 Properties of Logarithms
      • Integrated Review - Functions and Properties of Logarithms
    • 12.7 Common Logarithms, Natural Logarithms, and Change of Base
    • 12.8 Exponential and Logarithmic Equations and Problem Solving
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review
14. Conic Sections
    • 13.1 The Parabola and the Circle
    • 13.2 The Ellipse and the Hyperbola
      • Integrated Review - Graphing Conic Sections
    • 13.3 Solving Nonlinear Systems of Equations
    • 13.4 Nonlinear Inequalities and Systems of Inequalities
    • Group Activity
    • Vocabulary Check
    • Chapter Highlights
    • Chapter Review
    • Chapter Test
    • Cumulative Review

• A. Transition Review: Exponents, Polynomials, and Factoring Strategies
• B. Transition Review: Solving Linear and Quadratic Equations
• C. Sets and Compound Inequalities
• D. Absolute Value Equations and Inequalities
• E. Determinants and Cramer’s Rule
• F. Review of Angles, Lines, and Special Triangles
• G. Stretching and Compressing Graphs of Absolute Value Functions
• H. An Introduction to Using a Graphing Utility

About the program

Elayn Martin-Gay is known for her accessible writing style with built-in support, including an emphasis on study skills.

• In-text study skills resources include Section 1.1, Tips for Success in Mathematics, in which Elayn covers important strategies for success, with videos to motivate for each objective. Additional in-text student resources include the Student Resources section in the back of the text, which includes Study Skill Builders, a Study Guide Outline, and Practice Final Exam.
• Detailed step-by-step examples provide guidance for students, and practice margin exercises are paired with each example to actively involve students in the learning process.
• Helpful Hints, strategically placed where students are most likely to need immediate reinforcement, help students avoid common trouble areas and mistakes.
• All exercise sets have been carefully updated with this revision. Several special types of exercises throughout the text include Mixed Practice, Concept Extension, and more!
• The Martin-Gay video program provides students with support on concepts wherever and whenever they need it. Videos are always presented in Elayn’s hallmark friendly style.
• • Section lecture videos highlight key examples and exercises. Shorter, objective-level video clips are also available for student ease of use, and easier instructor assignability.
  • • Interactive Concept Checks measure students’ understanding of key concepts and common trouble spots. After the viewer selects an answer from several multiple-choice options, Martin-Gay explains why the answer is correct or incorrect.
      
    • Assignable Video Check questions assess whether students have viewed and understood the key concepts presented in the videos.
      
  • Student Success Tips videos in the MyLab are designed to be daily reminders to keep practicing effective organizational and study habits. These include topics like Time Management, as well as content-specific videos like avoiding a commonly made mistake on a topic. 
• The Video Organizer workbook encourages students to take notes and work practice problems while watching the Martin-Gay video lecture series in MyLab Math. The Video Organizer provides ample space for students to write down key definitions and rules throughout the lectures, and “Play” and “Pause” button icons prompt students to follow along with Elayn for some exercises while they try others on their own.
  

Features in the text ensure that students reinforce concepts and tie skills together.

• Concept Checks throughout the section allow students to gauge their grasp of an idea as it is presented. By stressing conceptual understanding at point-of-use, the Concept Checks help prevent misconceived notions for important topics.
• Integrated Review mid-chapter exercise sets provide students with mixed review, giving them the chance to assimilate new concepts they’ve learned over several sections. 
• Vocabulary, Readiness, and Video Check questions precede each section’s exercise set, and check their understanding of the section they’ve just covered, or that they’ve truly watched the section video that was assigned. All Vocabulary, Readiness, and Video Check questions are now assignable in MyLab Math. The Vocabulary and Readiness Check questions now are available in Drag and Drop format, giving students a more interactive way to answer these questions.
• Key Concept and Activity Lab Workbook is a great way to engage students in conceptual projects and exploration, as well as group work. The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities.
  

End-of-chapter student support helps students prepare at their most teachable moment — when preparing for a test.

• Getting Ready for the Test exercises precede each Chapter Test to check students’ conceptual understanding of the topics in the chapter. These multiple-choice or matching questions not only check for understanding, but also aim to catch common errors. 
• • Video Solutions of all Getting Ready for the Test exercises can be found in MyLab Math. These video solutions contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations. 
  • Premade Learning Catalytics questions are available for the Getting Ready for the Test exercises marked in blue. 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. 
• Additional end-of-chapter material includes Chapter Highlights, Chapter Review exercises, Mixed Review, a Chapter Test, and Cumulative Review. Chapter Test Prep Videos, a Martin-Gay innovation, provide step-by-step solutions for the exercises found in each Chapter Test.
  

Reach every student by pairing this text 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.
  

Empower each learner

• Personalized learning – Each student learns at a different pace. Personalized learning gives every student the support they need – when and where they need it – to be successful. A variety of options to personalize learning in MyLab Math, including personalized homework, which allows students to effectively test out homework, and Skill Builder, which provides just-in-time remediation within assignments.
  

Deliver trusted content

• Conceptual understanding – The Martin-Gay program gives students support on key concepts where and when they need it, through section lectures 100% presented by Elayn in her trademark approachable style. 
  

Expanded resources in this latest revision from Elayn Martin-Gay bring even more updates to her program, all shaped by her focus on the student – a perspective that has made her course materials beloved by students and instructors alike. 

• Getting Ready for the Test exercises precede each Chapter Test to check students’ conceptual understanding of the topics in the chapter. These multiple-choice or matching questions not only check for understanding, but also aim to catch common errors. Video Solutions for all exercises, and premade Learning Catalytics™ questions for exercises noted in blue in the AIE, accompany these exercises.
  
• Key Concept and Activity Lab Workbook is a great way to engage students in conceptual projects and exploration, as well as group work. The Workbook includes Extension Exercises, Exploration Activities, Conceptual Exercises, and Group Activities.
  

Reach every student with MyLab Math

Additions and expansions in the MyLab™ focus on increasing students’ preparedness, conceptual understanding, and motivation.

• Getting Ready for the Test video solutions cover the Getting Ready for the Test exercises in the text, and contain brief explanations and reminders of material in the chapter. Where applicable, incorrect choices contain explanations.
  
• Learning Catalytics, now 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.
  
• • Getting Ready for the Test exercises marked in blue in the Annotated Instructor’s Edition are premade and available to use with Learning Catalytics.
    
• Skill Builder assignments 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.
  
• All Vocabulary, Readiness, and Video Check questions in the text are now assignable in MyLab Math.
  
• • Vocabulary, Readiness, and Video Check questions precede each section’s exercise set, and check students' understanding of the section they’ve just covered, or that they’ve truly watched the section video that was assigned.
    
  • The Vocabulary and Readiness Check questions are also now available in a Drag and Drop format, giving students a more interactive way to answer these questions.