The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra3e. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition Problem-Recognition Exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises is to help students overcome what is sometimes a natural inclination toward applying problem-solving algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the previous edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill's online homework management system, MathZone.

**Chapter R Review of Basic Algebraic Concepts**Section R.1 Study Tips

Group Activity: Becoming a Successful Student

Section R.2 Sets of Numbers and Interval Notation

Section R.3 Operations on Real Numbers

Section R.4 Simplifying Algebraic Expressions

Chapter R Summary

Chapter R Review Exercises

Chapter R Test

**Chapter 1 Linear Equations and Inequalities in One Variable**

Section 1.1 Linear Equations in One Variable

Problem Recognition Exercises: Equations versus Expressions

Section 1.2 Applications of Linear Equations in One Variable

Section 1.3 Applications to Geometry and Literal Equations

Section 1.4 Linear Inequalities in One Variable

Section 1.5 Compound Inequalities

Section 1.6 Absolute Value Equations

Section 1.7 Absolute Value Inequalities

Problem Recognition Exercises: Identifying Equations and Inequalities

Group Activity: Understanding the Symbolism of Mathematics

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Test

**Chapter 2 Linear Equations in Two Variables and Functions**

Section 2.1 Linear Equations in Two Variables

Section 2.2 Slope of a Line and Rate of Change

Section 2.3 Equations of a Line

Problem Recognition Exercises: Characteristics of Linear Equations

Section 2.4 Applications of Linear Equations and Modeling

Section 2.5 Introduction to Relations

Section 2.6 Introduction to Functions

Section 2.7 Graphs of Basic Functions

Problem Recognition Exercises: Characteristics of Relations

Group Activity: Deciphering a Coded Message

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Test

Chapters 1-2 Cumulative Review Exercises

**Chapter 3 Systems of Linear Equations and Inequalities**

Section 3.1 Solving Systems of Linear Equations by the Graphing Method

Section 3.2 Solving Systems of Linear Equations by the Substitution Method

Section 3.3 Solving Systems of Linear Equations by the Addition Method

Problem Recognition Exercises: Solving Systems of Linear Equations

Section 3.4 Applications of Systems of Linear Equations in Two Variables

Section 3.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables

Section 3.6 Systems of Linear Equations in Three Variables and Applications

Section 3.7 Solving Systems of Linear Equations by Using Matrices

Group Activity: Creating a Quadratic Model of the Form y = at2 + bt + c

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Test

Chapters 1-3 Cumulative Review Exercises

**Chapter 4 Polynomials**

Section 4.1 Properties of Integer Exponents and Scientific Notation

Section 4.2 Addition and Subtraction of Polynomials and Polynomial Functions

Section 4.3 Multiplication of Polynomials

Section 4.4 Division of Polynomials

Problem Recognition Exercises: Operations on Polynomials

Section 4.5 Greatest Common Factor and Factoring by Grouping

Section 4.6 Factoring Trinomials

Section 4.7 Factoring Binomials

Problem Recognition Exercises: Factoring Summary

Section 4.8 Solving Equations by Using the Zero Product Rule

Group Activity: Investigating Pascal’s Triangle

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

**Chapter 5 Rational Expressions and Rational Equations**

Section 5.1 Rational Expressions and Rational Functions

Section 5.2 Multiplication and Division of Rational Expressions

Section 5.3 Addition and Subtraction of Rational Expressions

Section 5.4 Complex Fractions

Problem Recognition Exercises: Operations on Rational Expressions

Section 5.5 Solving Rational Equationsv Problem Recognition Exercises: Rational Equations vs. Expressions

Section 5.6 Applications of Rational Equations and Proportions

Section 5.7 Variation

Group Activity: Computing the Future Value of an Investment

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Test

Chapters 1-5 Cumulative Review Exercises

**Chapter 6 Radicals and Complex Numbers**

Section 6.1 Definition of an nth Root

Section 6.2 Rational Exponents

Section 6.3 Simplifying Radical Expressions

Section 6.4 Addition and Subtraction of Radicals

Section 6.5 Multiplication of Radicals

Problem Recognition Exercises: Simplifying Radical Expressions

Section 6.6 Division of Radicals and Rationalization

Section 6.7 Solving Radical Equations

Section 6.8 Complex Numbers

Group Activity: Margin of Error of Survey Results

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Test

Chapters 1-6 Cumulative Review Exercises

**Chapter 7 Quadratic Equations and Functions**

Section 7.1 Square Root Property and Completing the Square

Section 7.2 Quadratic Formula

Section 7.3 Equations in Quadratic Form

Problem Recognition Exercises: Quadratic and Quadratic Type Equations

Section 7.4 Graphs of Quadratic Functions

Section 7.5 Vertex of a Parabola: Applications and Modeling

Section 7.6 Nonlinear Inequalities

Problem Recognition Exercises: Recognizing Equations and Inequalities

Group Activity: Creating a Quadratic Model of the Form y = a(x – h)2 + k

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

**Chapter 8 Exponential and Logarithmic Functions and Applications**

Section 8.1 Algebra and Composition of Functions

Section 8.2 Inverse Functions

Section 8.3 Exponential Functions

Section 8.4 Logarithmic Functions

Problem Recognition Exercises: Identifying Graphs of Functions

Section 8.5 Properties of Logarithms

Section 8.6 The Irrational Number and Change of Base

Problem Recognition Exercises: Logarithmic and Exponential Forms

Section 8.7 Logarithmic and Exponential Equations and Applications

Group Activity: Creating a Population Model

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

**Chapter 9 Conic Sections**

Section 9.1 Distance Formula, Midpoint Formula, and Circles

Section 9.2 More on the Parabola

Section 9.3 The Ellipse and Hyperbola

Problem Recognition Exercises: Formulas and Conic Sections

Section 9.4 Nonlinear Systems of Equations in Two Variables

Section 9.5 Nonlinear Inequalities and Systems of Inequalities

Group Activity: Investigating the Graphs of Conic Sections on a Calculator

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Test

Chapters 1-9 Cumulative Review Exercises

**Chapter 10 Binomial Expansions, Sequences, and Series**

Section 10.1 Binomial Expansions

Section 10.2 Sequences and Series

Section 10.3 Arithmetic Sequences and Series

Section 10.4 Geometric Sequences and Series

Problem Recognition Exercises: Identifying Arithmetic and Geometric Sequences

Group Activity: Investigating Mean and Standard Deviation

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Test

Chapters 1-10 Cumulative Review Exercises

**Additional Topics Appendix**

Section A.1 Determinants and Cramer’s Rule