How Am I Doing? Guide to Math Success (inside front cover)
To the Student
Preface
Acknowledgments
Diagnostic Pretest
1. Basic Concepts
1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Powers, Square Roots, and the Order of Operations
How Am I Doing? Sections 1.1-1.3
1.4 Integer Exponents and Scientific Notation
1.5 Operations with Variables and Grouping Symbols
1.6 Evaluating Variable Expressions and Formulas
Putting Your Skills to Work: Use Math to Save Money
Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
2. Linear Equations and Inequalities
2.1 First-Degree Equations with One Unknown
2.2 Literal Equations and Formulas
2.3 Absolute Value Equations
2.4 Using Equations to Solve Word Problems
How Am I Doing? Sections 2.1-2.4
2.5 Solving More-Involved Word Problems
2.6 Linear Inequalities
2.7 Compound Inequalities
2.8 Absolute Value Inequalities
Putting Your Skills to Work: Use Math to Save Money
Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
Cumulative Test for Chapters 1-2
3. Equations and Inequalities in Two Variables and Functions
3.1 Graphing Linear Equations with Two Unknowns
3.2 Slope of a Line
3.3 Graphs and the Equations of a Line
How Am I Doing? Sections 3.1-3.3
3.4 Linear Inequalities in Two Variables
3.5 Concept of a Function
3.6 Graphing Functions from Equations and Tables of Data
Putting Your Skills to Work: Use Math to Save Money
Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
Cumulative Test for Chapters 1-3
4. Systems of Linear Equations and Inequalities
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
How Am I Doing? Sections 4.1-4.2
4.3 Applications of Systems of Linear Equations
4.4 Systems of Linear Inequalities
Putting Your Skills to Work: Use Math to Save Money
Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
Cumulative Test for Chapters 1-4
5. Polynomials
5.1 Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying
5.2 Dividing Polynomials
5.3 Synthetic Division
5.4 Removing Common Factors; Factoring by Grouping
5.5 Factoring Trinomials
How Am I Doing? Sections 5.1-5.5
5.6 Special Cases of Factoring
5.7 Factoring a Polynomial Completely
5.8 Solving Equations and Applications Using Polynomials
Putting Your Skills to Work: Use Math to Save Money
Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
Cumulative Test for Chapters 1-5
6. Rational Expressions and Equations
6.1 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Rational Expressions
How Am I Doing? Sections 6.1-6.3
6.4 Rational Equations
6.5 Applications: Formulas and Advanced Ratio Exercises
Putting Your Skills to Work: Use Math to Save Money
Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
Cumulative Test for Chapters 1-6
7. Rational Exponents and Radicals
7.1 Rational Exponents
7.2 Radical Expressions and Functions
7.3 Simplifying, Adding, and Subtracting Radicals
7.4 Multiplying and Dividing Radicals
How Am I Doing? Sections 7.1-7.4
7.5 Radical Equations
7.6 Complex Numbers
7.7 Variation
Putting Your Skills to Work: Use Math to Save Money
Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
Cumulative Test for Chapters 1-7
8. Quadratic Equations and Inequalities
8.1 Quadratic Equations
8.2 The Quadratic Formula and Solutions to Quadratic Equations
8.3 Equations That Can Be Transformed into Quadratic Form
How Am I Doing? Sections 8.1-8.3
8.4 Formulas and Applications
8.5 Quadratic Functions
8.6 Quadratic Inequalities in One Variable
Putting Your Skills to Work: Use Math to Save Money
Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
Cumulative Test for Chapters 1-8
9. The Conic Sections
9.1 The Distance Formula and the Circle
9.2 The Parabola
9.3 The Ellipse
How Am I Doing? Sections 9.1-9.3
9.4 The Hyperbola
9.5 Nonlinear Systems of Equations
Putting Your Skills to Work: Use Math to Save Money
Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
Cumulative Test for Chapters 1-9
10. Additional Properties of Functions
10.1 Function Notation
10.2 General Graphing Procedures for Functions
How Am I Doing? Sections 10.1-10.2
10.3 Algebraic Operations on Functions
10.4 Inverse of a Function
Putting Your Skills to Work: Use Math to Save Money
Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
Cumulative Test for Chapters 1-10
11. Logarithmic and Exponential Functions
11.1 The Exponential Function
11.2 The Logarithmic Function
11.3 Properties of Logarithms
How Am I Doing? Sections 11.1-11.3
11.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms
11.5 Exponential and Logarithmic Equations
Putting Your Skills to Work: Use Math to Save Money
Chapter 11 Organizer
Chapter 11 Review Problems
How Am I Doing? Chapter 11 Test
Practice Final Examination
Appendix A: Tables
Table A-1: Table of Square Roots
Table A-2: Table of Exponential Values
Appendix B: Determinants and Cramer's Rule
Appendix C: Solving Systems of Linear Equations Using Matrices
Solutions to Practice Problems
Answers to Selected Exercises
Applications Index
Index
Glossary
Photo Credits
