# Algebra: A Combined Approach, 6th edition

Published by Pearson (July 17, 2019) © 2020

**Elayn Martin-Gay**University of New Orleans, Lakefront

## eTextbook

- Easy-to-use search and navigation
- Add notes and highlights
- Flashcards help streamline study sessions

- Hardcover, paperback or looseleaf edition
- Affordable rental option for select titles
- Free shipping on looseleafs and traditional textbooks

## MyLab

- Reach every student with personalized support
- Customize courses with ease
- Optimize learning with dynamic study tools

For courses in Beginning & Intermediate Algebra (Combined).

### Every student can succeed

In **Algebra: A Combined Approach,** Elayn Martin-Gay's student-centric approach is woven seamlessly throughout, giving students trusted content and optimal support through effective video, accessible writing style and tools for study skills. Elayn's legacy of innovations that support student success include Chapter Test Prep videos and a Video Organizer note-taking guide. Expanded resources in the **6th Edition** 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.

### Hallmark features of this title

**Study skills resources:****Section 1.1, Tips for Success in Mathematics**, in which Elayn covers important strategies for success, with videos for each objective.**Student Resources section**with Study Skill Builders, a Study Guide Outline, and Practice Final Exam**.**

**Helpful Hints**help students avoid common trouble areas.**Detailed step-by-step examples**and**practice margin exercises**paired with each example encourage students to participate in the learning.**Concept Checks**throughout the section allow students to gauge their grasp of an idea as it is presented.**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.

### New and updated features of this title

**New 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 Annotated Instructor's Edition accompany these exercises.

**The new 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.

**Exercise sets**and applications have been refined and updated where appropriate.

### R. 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

### 1. 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

### 2. 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

### 3. 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

### 4. 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

### 5. 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

### 6. Factoring Polynomials

- 6.1 The Greatest Common Factor and Factoring by Grouping
- 6.2 Factoring Trinomials of the Form x
^{2}+ bx + c - 6.3 Factoring Trinomials of the Form ax
^{2}+ bx + c - 6.4 Factoring Trinomials of the Form ax
^{2}+ 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

### 7. 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

### 8. 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

### 9. 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

### 10. 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

### 11. 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

### 12. 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

### 13. 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

### Appendices

- 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 our author

**Elayn Martin-Gay **has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created **Chapter Test Prep Videos **to help students during their most “teachable moment” (as they prepare for a test) along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 13 published textbooks and a new Interactive Assignment MyLab^{®} Math course, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry. She has participated as an author across the broadest range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity of various combinations for an integrated teaching and learning package offering great consistency for the student.

Need help? Get in touch