# Algebra: A Combined Approach, 6th edition

Published by Pearson (July 15, 2020) © 2020

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

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Elayn Martin-Gay is known for her accessible writing style with built-in support, including an emphasis on study skills. In **Algebra: A Combined Approach**, Elayn supports student success through her accessible writing style and tools to increase study skills. Features in the text and other learning resources help you reinforce concepts and tie skills together. End-of-chapter support helps you when preparing for a test. The **6th Edition** updates exercise sets and applications throughout, adds new Getting Ready for the Test exercises, offers a new Key Concept and Activity Lab Workbook, and much more.

### 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

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