Intermediate Algebra, 06th Edition

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