### 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 1Review of Basic Algebraic Concepts
1.1Sets of Number and Interval Notation
1.2Operation on Real Numbers
1.3Simplifying Expressions
1.4Linear Equations in One Variable --
*Problem Recognition Exercises: Expressions and Equations*
1.5Applications of Linear Equations in One Variable
1.6Literal Equations and Applications to Geometry
1.7Linear Inequalities in One Variable
1.8Properties of Integer Exponents and Scientific Notation
Chapter 2Graphing Linear Equations and Functions
2.1Linear Equations in Two Variables
2.2Slope of a Line -- *Problem Recognition Exercises: Intercepts and Slope*
2.3Equations of a Line
2.4Application of Linear Equations and Modeling
2.5 Introduction to Relations
2.6Introduction to Functions
2.7Graphs of Basic Functions
Chapter 3Systems of Linear Equations
3.1Solving Systems of Linear Equations by Graphing
3.2Solving Systems of Linear Equations by Using the Substitution Method
3.3Solving Systems of Linear Equations by Using the Addition Method -- *Problem Recognition Exercises: Method of Solving Systems of Equations*
3.4Applications of Systems of Linear Equations in Two Variables
3.5Systems of Linear Equations in Three Variables and Applications
3.6Solving Systems of Linear Equations by Using Matrices
Chapter 4Polynomials
4.1Addition and Subtraction of Polynomials and Polynomial Functions.
4.2Multiplication of Polynomials
4.3Division of Polynomials -- *Problem Recognition Exercises: Operations on Polynomials*
4.4Greatest Common Factor and Factoring by Grouping
4.5Factoring Trinomials
4.6Factoring Binomials
4.7Additional Factoring Strategies
4.8Solving Equations by Using the Zero Product Rule
Chapter 5Rational Expressions and Rational Equations
5.1Rational Expressions and Rational Functions
5.2Multiplication and Division of Rational Expressions
5.3Addition and Subtraction of Rational Expressions
5.4Complex Fractions -- *Problem Recognition Exercises: Simplifying Rational Expressions*
5.5Solving Rational Equations -- *Problem Recognition Exercises: Rational Expressions and Equations*
5.6Applications of Rational Equations and Proportions
5.7 Variation
Chapter 6Radicals and Complex Numbers
6.1Definition of an nth-Root
6.2Rational Exponents
6.3Simplifying Radical Expressions
6.4Addition and Subtraction of Radicals
6.5Multiplication of Radicals -- *Problem Recognition Exercises: Operations on Radical Expressions*
6.6Rationalization
6.7Solving Radical Equations
6.8Complex Numbers
Chapter 7Quadratic Equations and Functions
7.1Square Root Property and Completing the Square
7.2Quadratic Formula
7.3Equations in Quadratic Form -- *Problem Recognition Exercises: Recognizing Equation Types*
7.4Graphs of Quadratic Functions
7.5Applications of Quadratic Functions and Modeling
Chapter 8More Equations and Inequalities
8.1Compound Inequalities
8.2Polynomial and Rational Inequalities
8.3Absolute Value Equations
8.4Absolute Value Inequalities -- *Problem Recognition Exercises: Equations and Inequalities*
8.5Linear Inequalities in Two Variables
Chapter 9 Exponential and Logarithmic Functions
9.1Algebra and Composition of Functions
9.2Inverse Functions
9.3Exponential Functions
9.4Logarithmic Functions
9.5Properties of Logarithms
9.6The Irrational Number e -- *Problem Recognition Exercises: Logarithmic and Exponential Forms*
9.7Exponential and Logarithmic Equations
Chapter 10 Conic Sections
10.1 Distance Formula, Midpoint, and Circles
10.2 More of the Parabola
10.3 The Ellipse and Hyperbola -- *Problem Recognition Exercises: Identifying and Graphing Conic Sections*
10.4 Nonlinear Systems of Equations in Two Variables
10.5 Nonlinear Inequalities and System if Inequalities
Additional Topics Appendix
A.1Binomial Expansions
A.2Determinants and Cramer’s Rule
A.3Sequences and Series
A.4Arithmetic and Geometric Sequences and Series