# Elementary and Intermediate Algebra

**Main Description**

**Elementary and Intermediate Algebra, 5th edition, by Baratto, Bergman, and Hutchison**is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a two-semester course sequence in beginning algebra and intermediate algebra is appropriate for lecture, learning center, laboratory, and self-paced settings. The fifth edition continues the series’ hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students

**grow their math skills from the ground up.**The authors use a three-pronged approach of

**communication, pattern recognition, and problem solving**to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. The text is fully-integrated with McGraw-Hill’s new online learning system, Connect Math Hosted by ALEKS Corp, and is available with ALEKS 360.

## Preface

Applications Index

### Chapter 0. Prealgebra Review

0.1 A Review of Fractions

0.2 Real Numbers

0.3 Adding and Subtracting

0.4 Multiplying and Dividing

0.5 Exponents and Order of Operations

Chapter 0: Summary

Chapter 0: Summary Exercises

Chapter 0: Chapter Test

### Chapter 1. From Arithmetic to Algebra

1.1 Transition to Algebra

Activity 1: Exchanging Money

1.2 Evaluating Algebraic Expressions

1.3 Simplifying Algebraic Expressions

1.4 Solving Equations with the Addition Property

1.5 Solving Equations with the Multiplication Property

1.6 Combining the Rules to Solve Equations

1.7 Linear Inequalities

Chapter 1: Summary

Chapter 1: Summary Exercises

Chapter 1: Chapter Test

### Chapter 2. Functions and Graphs

2.1 Formulas and Problem Solving

Activity 2: Graphing with a Calculator

2.2 Sets and Set Notation

2.3 Two Variable Equations

2.4 The Cartesian Coordinate System

2.5 Relations and Functions

2.6 Tables and Graphs

Chapter 2: Summary

Chapter 2: Summary Exercises

Chapter 2: Chapter Test

Chapters 0-2: Cumulative Review

### Chapter 3. Graphing Linear Functions

3.1 Graphing Linear Functions

Activity 3: Linear Regression: A Graphing Calculator Activity

3.2 The Slope of a Line

3.3 Linear Equations

3.4 Rate of Change and Linear Regression

3.5 Linear Inequalities in Two Variables

Chapter 3: Summary

Chapter 3: Summary Exercises

Chapter 3: Chapter Test

Chapters 0-3: Cumulative Review

### 4. Systems of Linear Equations

4.1 Graphing Systems of Linear Equations

Activity 4: Agricultural Technology

4.2 Solving Equations in One Variable Graphically

4.3 Systems of Equations in Two Variables

4.4 Systems of Equations in Three Variables

4.5 Systems of Linear Inequalities

Chapter 4: Summary

Chapter 4: Summary Exercises

Chapter 4: Chapter Test

Chapters 0-4: Cumulative Review

### Chapter 5. Exponents and Polynomials

5.1 Positive Integer Exponents

Activity 5: Wealth and Compound Interest

5.2 Integer Exponents and Scientific Notation

5.3 Introduction to Polynomials

5.4 Adding and Subtracting Polynomials

5.5 Multiplying Polynomials and Special Products

5.6 Dividing Polynomials

Chapter 5: Summary

Chapter 5: Summary Exercises

Chapter 5: Chapter Test

Chapters 0-5: Cumulative Review

### Chapter 6. Factoring Polynomials

6.1 An Introduction to Factoring

Activity 6: ISBN’s and the Check Digit

6.2 Factoring Special Polynomials

6.3 Factoring: Trial and Error

6.4 Factoring: The ac Method

6.5 Factoring Strategies

6.6 Factoring and Problem Solving

Chapter 6: Summary

Chapter 6: Summary Exercises

Chapter 6: Chapter Test

Chapters 0-6: Cumulative Review

### Chapter 7. Radicals and Exponents

7.1 Roots and Radicals

Activity 7: The Swing of a Pendulum

7.2 Simplifying Radical Expressions

7.3 Operations on Radicals

7.4 Solving Radical Equations

7.5 Rational Exponents

7.6 Complex Numbers

Chapter 7: Summary

Chapter 7: Summary Exercises

Chapter 7: Chapter Test

Chapters 0-7: Cumulative Review

### Chapter 8. Quadratic Equations

8.1 Solving Quadratic Equations

Activity 8: The Gravity Model

8.2 The Quadratic Formula

8.3 An Introduction to Parabolas

8.4 Quadratic Equations and Problem Solving

Chapter 8: Summary

Chapter 8: Summary Exercises

Chapter 8: Chapter Test

Chapters 0-8: Cumulative Review

### Chapter 9. Rational Expressions

9.1 Simplifying Rational Expressions

Activity 9: Communicating Mathematical Ideas

9.2 Multiplying and Dividing Rational Expressions

9.3 Adding and Subtracting Rational Expressions

9.4 Complex Rational Expressions

9.5 Graphing Rational Functions

9.6 Rational Equations and Problem Solving

Chapter 9: Summary

Chapter 9: Summary Exercises

Chapter 9: Chapter Test

Chapters 0-9: Cumulative Review

### Chapter 10. Exponential and Logarithmic Functions

10.1 Algebra of Functions

Activity 10: Half-Life and Decay

10.2 Composition of Functions

10.3 Inverse Functions

10.4 Exponential Functions

10.5 Logarithmic Functions

10.6 Properties of Logarithms

10.7 Logarithmic and Exponential Equations

Chapter 10: Summary

Chapter 10: Summary Exercises

Chapter 10: Chapter Test

Chapters 0-10: Cumulative Review

### Appendices

A.1 Solving Inequalities in One Variable Graphically

A.2 Solving Absolute-Value Equations

A.3 Solving Absolute-Value Equations Graphically

A.4 Solving Absolute-Value Inequalities

A.5 Solving Absolute-Value Inequalities Graphically

**Answers to Reading Your Text, Summary Exercises, Chapter Tests, and Cumulative Reviews**

**Index**