Ebook: Intermediate algebra

Study Skills: Using Your Math Textbook 1. Review of the Real Number System 1.1 Basic Concepts 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 Percents 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 Study Skills: Reviewing a Chapter Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Chapters 1-2 Cumulative Review Exercises 3. Graphs, Linear Equations, and Functions 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 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 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 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 11. Nonlinear Functions, Conic Sections, and Nonlinear Systems 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 Chapter 1-12 Cumulative Review Exercises Appendix A: Determinants and Cramer's Rule Appendix B: Synthetic Division