### Overview

### Main description

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The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in *Intermediate Algebra* 2e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate 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. Also included in this edition are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. 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.

### Table of contents

Chapter 1 Review of Basic Algebraic Concepts1.1 Sets of Number and Interval Notation1.2 Operation on Real Numbers1.3 Simplifying Expressions1.4 Linear Equations in One Variable -- *Problem Recognition Exercises: Expressions and Equations* 1.5 Applications of Linear Equations in One Variable1.6 Literal Equations and Applications to Geometry1.7 Linear Inequalities in One Variable1.8 Properties of Integer Exponents and Scientific NotationChapter 2 Graphing Linear Equations and Functions2.1 Linear Equations in Two Variables2.2 Slope of a Line -- *Problem Recognition Exercises: Intercepts and Slope*2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic FunctionsChapter 3 Systems of Linear Equations3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the Substitution Method3.3 Solving Systems of Linear Equations by Using the Addition Method -- * Problem Recognition Exercises: Method of Solving Systems of Equations*3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using MatricesChapter 4 Polynomials4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials -- *Problem Recognition Exercises: Operations on Polynomials*4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product RuleChapter 5 Rational Expressions and Rational Equations5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions -- *Problem Recognition Exercises: Simplifying Rational Expressions*5.5 Solving Rational Equations -- *Problem Recognition Exercises: Rational Expressions and Equations*5.6 Applications of Rational Equations and Proportions5.7 VariationChapter 6 Radicals and Complex Numbers6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals -- *Problem Recognition Exercises: Operations on Radical Expressions*6.6 Rationalization6.7 Solving Radical Equations6.8 Complex NumbersChapter 7 Quadratic Equations and Functions7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form -- *Problem Recognition Exercises: Recognizing Equation Types*7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and ModelingChapter 8 More Equations and Inequalities8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities -- *Problem Recognition Exercises: Equations and Inequalities*8.5 Linear Inequalities in Two VariablesChapter 9 Exponential and Logarithmic Functions9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e -- *Problem Recognition Exercises: Logarithmic and Exponential Forms*9.7 Exponential and Logarithmic EquationsChapter 10 Conic Sections10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola -- *Problem Recognition Exercises: Identifying and Graphing Conic Sections*10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if InequalitiesAdditional Topics AppendixA.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and Series