CONTENTS
A Brief Guide to Getting the Most from This Book
Preface
To The Student
About the Author
Chapter 1: The Real Number System
1.1 Fractions
1.2 The Real Numbers
1.3 Ordered Pairs and Graphs
1.4 Basic Rules of Algebra
Mid-Chapter Check Point
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents, Order of Operations, and Mathematical Models
Group Project
Summary
Review Exercises
Chapter Test
Chapter 2: Linear Equations and Inequalities of One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations
2.4 Formulas and Percents
Mid-Chapter Check Point
2.5 An Introduction to Problem Solving
2.6 Solving Linear Inequalities
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 2)
Chapter Test
Chapter 3: Problem Solving
3.1 Further Problem Solving
3.2 Ratio and Proportion
Mid-Chapter Check Point
3.3 Problem Solving in Geometry
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 3)
Chapter Test
Chapter 4: Linear Equations and Inequalities in Two Variables
4.1 Graphing Equations in Two Variables
4.2 Graphing Linear Equations Using Intercepts
4.3 Slope
4.4 The Slope-Intercept Form of the Equation of a Line
Mid-Chapter Check Point
4.5 The Point-Slope Form of the Equation of a Line
4.6 Linear Inequalities in Two Variables
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 4)
Chapter Test
Chapter 5: Systems of Linear Equations and Inequalities
5.1 Solving Systems of Linear Equations by Graphing
5.2 Solving Systems of Linear Equations by the Substitution Method
5.3 Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point
5.4 Problem Solving Using Systems of Equations
5.5 Systems of Linear Inequalities
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 5)
Chapter Test
Chapter 6: Exponents and Polynomials
6.1 Adding and Subtracting Polynomials
6.2 Multiplying Polynomials
6.3 Special Products
6.4 Polynomials in Several Variables
Mid-Chapter Check Point
6.5 Dividing Polynomials
6.6 Dividing Polynomials by Binomials
6.7 Negative Exponents and Scientific Notation
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 6)
Chapter Test
Chapter 7: Factoring Polynomials
7.1 The Greatest Common Factor and Factoring By Grouping
7.2 Factoring Trinomials Whose Leading Coefficient Is One
7.3 Factoring Trinomials Whose Leading Coefficient Is Not One
Mid-Chapter Check Point
7.4 Factoring Special Forms
7.5 A General Factoring Strategy
7.6 Solving Quadratic Equations By Factoring
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 7)
Chapter Test
Chapter 8: Rational Expressions
8.1 Rational Expressions and Their Simplification
8.2 Multiplying and Dividing Rational Expressions
8.3 Adding and Subtracting Rational Expressions with the Same Denominator
8.4 Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point
8.5 Complex Rational Expressions
8.6 Solving Rational Equations
8.7 Applications Using Rational Equations and Variation
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 8)
Chapter Test
Chapter 9: Roots and Radicals
9.1 Finding Roots
9.2 Multiplying and Dividing Radicals
9.3 Operations with Radicals
Mid-Chapter Check Point
9.4 Rationalizing the Denominator
9.5 Radical Equations
9.6 Rational Exponents
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 9)
Chapter Test
Chapter 10: Quadratic Equations and Functions
10.1 Solving Quadratic Equations by the Square Root Property
10.2 Solving Quadratic Equations by Completing the Square Root
10.3 The Quadratic Formula
Mid-Chapter Check Point
10.4 Imaginary Numbers as Solutions of Quadratic Equations
10.5 Graphs of Quadratic Equations
10.6 Introduction to Functions
Group Project
Summary
Cumulative Review Exercises (Chapters 1- 10)
Chapter Test
Answers to Selected Exercises
Graphing Answer Section
Applications Index
Subject Index
Photo Credits