- 1 Review of the Real Number System
- 1.1 Basic Concepts STUDY SKILLS Using Your Math Textbook xviii
- 1.2 Operations on Real Numbers
- 1.3 Exponents, Roots, and Order of Operations
- 1.4 Properties of Real Numbers
- Chapter 1 Summary
- Chapter 1 Review Exercises
- Chapter 1 Test
- STUDY SKILLS Reading Your Math Textbook
- 2 Linear Equations, Inequalities, and Applications
- 2.1 Linear Equations in One Variable
- STUDY SKILLS Tackling Your Homework
- 2.2 Formulas and Percent
- 2.3 Applications of Linear Equations
- STUDY SKILLS Taking Lecture Notes
- 2.4 Further Applications of Linear Equations
- SUMMARY EXERCISES on Solving Applied Problems
- 2.5 Linear Inequalities in One Variable
- STUDY SKILLS Using Study Cards
- 2.6 Set Operations and Compound Inequalities
- STUDY SKILLS Using Study Cards Revisited
- 2.7 Absolute Value Equations and Inequalities
- Inequalities SUMMARY EXERCISES on Solving Linear and Absolute Value Equations and
- STUDY SKILLS Reviewing a Chapter
- Chapter 2 Summary
- Chapter 2 Review Exercises
- Chapter 2 Test
- Chapters 1–2 Cumulative Review Exercises
- 3 Graphs, Linear Equations, and Functions v
- 3.1 The Rectangular Coordinate System
- STUDY SKILLS Managing Your Time
- 3.2 The Slope of a Line
- 3.3 Linear Equations in Two Variables vi Contents
- SUMMARY EXERCISES on Slopes and Equations of Lines
- 3.4 Linear Inequalities in Two Variables
- 3.5 Introduction to Relations and Functions
- 3.6 Function Notation and Linear Functions
- STUDY SKILLS Taking Math Tests
- Chapter 3 Summary
- Chapter 3 Review Exercises
- Chapter 3 Test
- Chapters 1–3 Cumulative Review Exercises
- 4 Systems of Linear Equations
- 4.1 Systems of Linear Equations in Two Variables
- STUDY SKILLS Analyzing Your Test Results
- 4.2 Systems of Linear Equations in Three Variables
- 4.3 Applications of Systems of Linear Equations
- 4.4 Solving Systems of Linear Equations by Matrix Methods
- Chapter 4 Summary
- Chapter 4 Review Exercises
- Chapter 4 Test
- Chapters 1–4 Cumulative Review Exercises
- 5 Exponents, Polynomials, and Polynomial Functions
- 5.1 Integer Exponents and Scientific Notation
- 5.2 Adding and Subtracting Polynomials
- 5.3 Polynomial Functions, Graphs, and Composition
- 5.4 Multiplying Polynomials
- 5.5 Dividing Polynomials
- Chapter 5 Summary
- Chapter 5 Review Exercises
- Chapter 5 Test
- Chapters 1–5 Cumulative Review Exercises
- 6 Factoring
- 6.1 Greatest Common Factors and Factoring by Grouping
- 6.2 Factoring Trinomials
- 6.3 Special Factoring
- 6.4 A General Approach to Factoring
- 6.5 Solving Equations by Factoring
- Chapter 6 Summary
- Chapter 6 Review Exercises
- Chapter 6 Test
- Chapters 1–6 Cumulative Review Exercises
- 7 Rational Expressions and Functions Contents vii
- 7.1 Rational Expressions and Functions; Multiplying and Dividing
- 7.2 Adding and Subtracting Rational Expressions
- 7.3 Complex Fractions
- 7.4 Equations with Rational Expressions and Graphs
- SUMMARY EXERCISES on Rational Expressions and Equations
- 7.5 Applications of Rational Expressions
- 7.6 Variation
- Chapter 7 Summary
- Chapter 7 Review Exercises
- Chapter 7 Test
- Chapters 1–7 Cumulative Review Exercises
- 8 Roots, Radicals, and Root Functions
- 8.1 Radical Expressions and Graphs
- 8.2 Rational Exponents
- 8.3 Simplifying Radical Expressions
- 8.4 Adding and Subtracting Radical Expressions
- 8.5 Multiplying and Dividing Radical Expressions
- SUMMARY EXERCISES on Operations with Radicals and Rational Exponents
- 8.6 Solving Equations with Radicals
- 8.7 Complex Numbers
- STUDY SKILLS Preparing for Your Math Final Exam
- Chapter 8 Summary
- Chapter 8 Review Exercises
- Chapter 8 Test
- Chapters 1–8 Cumulative Review Exercises
- 9 Quadratic Equations, Inequalities, and Functions
- 9.1 The Square Root Property and Completing the Square
- 9.2 The Quadratic Formula
- 9.3 Equations Quadratic in Form
- SUMMARY EXERCISES on Solving Quadratic Equations
- 9.4 Formulas and Further Applications
- 9.5 Graphs of Quadratic Functions
- 9.6 More about Parabolas and Their Applications
- 9.7 Polynomial and Rational Inequalities
- Chapter 9 Summary
- Chapter 9 Review Exercises
- Chapter 9 Test
- Chapters 1–9 Cumulative Review Exercises
- 10 Inverse, Exponential, and Logarithmic Functions viii Contents
- 10.1 Inverse Functions
- 10.2 Exponential Functions
- 10.3 Logarithmic Functions
- 10.4 Properties of Logarithms
- 10.5 Common and Natural Logarithms
- 10.6 Exponential and Logarithmic Equations; Further Applications
- Chapter 10 Summary
- Chapter 10 Review Exercises
- Chapter 10 Test
- Chapters 1–10 Cumulative Review Exercises
- Nonlinear Systems Nonlinear Functions, Conic Sections, and
- 11.1 Additional Graphs of Functions
- 11.2 The Circle and the Ellipse
- 11.3 The Hyperbola and Functions Defined by Radicals
- 11.4 Nonlinear Systems of Equations
- 11.5 Second-Degree Inequalities and Systems of Inequalities
- Chapter 11 Summary
- Chapter 11 Review Exercises
- Chapter 11 Test
- Chapters 1–11 Cumulative Review Exercises
- 12 Sequences and Series
- 12.1 Sequences and Series
- 12.2 Arithmetic Sequences
- 12.3 Geometric Sequences
- 12.4 The Binomial Theorem
- Chapter 12 Summary
- Chapter 12 Review Exercises
- Chapter 12 Test
- Chapters 1–12 Cumulative Review Exercises
- Appendix A Determinants and Cramer’s Rule
- Appendix B Synthetic Division
- Answers to Selected Exercises A-
- Glossary G-
- Credits G-
- Index I-
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