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Table of Contents
Intermediate Algebra, Second Edition
Chapter 1: Review of Basic Algebraic Concepts
1.1 Sets of Numbers and Interval Notation
1.2 Operations on Real Numbers
1.3 Simplifying Expressions
1.4 Linear Equations in One Variable
1.5 Applications of Linear Equations in One Variable
1.6 Literal Equations and Applications to Geometry
1.7 Linear Inequalities in One Variable
1.8 Properties of Integer Exponents and Scientific Notation
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Chapter 2: Linear Equations in Two Variables
2.1 The Rectangular Coordinate System and Midpoint Formula
2.2 Linear Equations in Two Variables
2.3 Slope of a Line
2.4 Equations of a Line
2.5 Applications of Linear Equations and Graphing
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Cumulative Review Exercises, Chapters 1 – 2
Chapter 3: Systems of Linear Equations
3.1 Solving Systems of Linear Equations by Graphing
3.2 Solving Systems of Equations by Using the Substitution Method
3.3 Solving Systems of Equations by Using the Addition Method
3.4 Applications of Systems of Linear Equations in Two Variables
3.5 Systems of Linear Equations in Three Variables and Applications
3.6 Solving Systems of Linear Equations by Using Matrices
3.7 Determinants and Cramer’s Rule
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Cumulative Review Exercises, Chapters 1 – 3
Chapter 4: Introduction to Relations and Functions
4.1 Introduction to Relations
4.2 Introduction to Functions
4.3 Graphs of Functions
4.4 Variation
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Cumulative Review Exercises, Chapters 1 – 4
Chapter 5:Polynomials
5.1 Addition and Subtraction of Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Division of Polynomials
Problem Recognition Exercises – Operations on Polynomials
5.4 Greatest Common Factor and Factoring by Grouping
5.5 Factoring Trinomials
5.6 Factoring Binomials
5.7 Additional Factoring Strategies
5.8 Solving Equations by Using the Zero Product Rule
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Cumulative Review Exercises, Chapters 1 – 5
Chapter 6:Rational Expressions and Rational Equations
6.1 Rational Expressions and Rational Functions
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Complex Fractions
Problem Recognition Exercises – Operations on Rational Expressions
6.5 Rational Equations
6.6 Applications of Rational Equations and Proportions
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Cumulative Review Exercises, Chapters 1 – 6
Chapter 7: Radicals and Complex Numbers
7.1 Definition of an nth Root
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Addition and Subtraction of Radicals
7.5 Multiplication of Radicals
7.6 Rationalization
7.7 Radical Equations
7.8 Complex Numbers
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Chapter 8: Quadratic Equations and Functions
8.1 Square Root Property and Completing the Square
8.2 Quadratic Formula
8.3 Equations in Quadratic Form
8.4 Graphs of Quadratic Functions
8.5 Vertex of a Parabola and Applications
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Cumulative Review Exercises, Chapters 1 - 8
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Inequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
Problem Recognition – Equations and Inequalities
9.5 Linear Inequalities in Two Variables
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Cumulative Review Exercises, Chapters 1 - 9
Chapter 10: Exponential and Logarithmic Functions
10.1 Algebra and Composition of Functions
10.2 Inverse Functions
10.3 Exponential Functions
10.4 Logarithmic Functions
10.5 Properties of Logarithms
10.6 The Irrational Number e
Problem Recognition – Logarithmic and Exponential Forms
10.7 Logarithmic and Exponential Equations
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Cumulative Review Exercises, Chapters 1 - 10
Chapter 11: Conic Sections
11.1 Distance Formula and Circles
11.2 More on the Parabola
11.3 The Ellipse and Hyperbola
11.4 Nonlinear Systems of Equations in Two Variables
11.5 Nonlinear Inequalities and Systems of Inequalities