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Preface Study Skills: Using Your Math Textbook R. Review of the Real Number System R.1 Basic Concepts R.2 Operations on Real Numbers R.3 Exponents, Roots, and Order of Operations R.4 Properties of Real Numbers Chapter R Summary Chapter R Test Study Skills: Reading Your Math Textbook 1. Linear Equations, Inequalities, and Applications 1.1 Linear Equations in One Variable Study Skills: Completing Your Homework 1.2 Formulas and Percent Study Skills: Taking Lecture Notes 1.3 Applications of Linear Equations 1.4 Further Applications of Linear Equations Summary Exercises: Applying Problem-Solving Techniques 1.5 Linear Inequalities in One Variable Study Skills: Using Study Cards 1.6 Set Operations and Compound Inequalities Study Skills: Using Study Cards Revisited 1.7 Absolute Value Equations and Inequalities Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities Study Skills: Reviewing a Chapter Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Mixed Review Exercises Chapter 1 Test 2. Linear Equations, Graphs, and Functions 2.1 Linear Equations in Two Variables Study Skills: Managing Your Time 2.2 The Slope of a Line 2.3 Writing Equations of Lines Study Skills: Taking Math Tests Summary Exercises: Finding Slopes and Equations of Lines 2.4 Linear Inequalities in Two Variables 2.5 Introduction to Relations and Functions Study Skills: Analyzing Your Test Results 2.6 Function Notation and Linear Functions Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Mixed Review Exercises Chapter 2 Test 3. Systems of Linear Equations 3.1 Systems of Linear Equations in Two Variables Study Skills: Preparing for Your Math Final Exam 3.2 Systems of Linear Equations in Three Variables 3.3 Applications of Systems of Linear Equations Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Mixed Review Exercises Chapter 3 Test Chapters R—3 Cumulative Review Exercises 4. Exponents, Polynomials, and Polynomial Functions 4.1 Integer Exponents and Scientific Notation 4.2 Adding and Subtracting Polynomials 4.3 Polynomial Functions, Graphs, and Composition 4.4 Multiplying Polynomials 4.5 Dividing Polynomials Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Mixed Review Exercises Chapter 4 Test Chapters R—4 Cumulative Review Exercises 5. Factoring 5.1 Greatest Common Factors and Factoring by Grouping 5.2 Factoring Trinomials 5.3 Special Factoring 5.4 A General Approach to Factoring 5.5 Solving Equations by the Zero-Factor Property Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Mixed Review Exercises Chapter 5 Test Chapters R—5 Cumulative Review Exercises 6. Rational Expressions and Functions 6.1 Rational Expressions and Functions; Multiplying and Dividing 6.2 Adding and Subtracting Rational Expressions 6.3 Complex Fractions 6.4 Equations with Rational Expressions and Graphs Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations 6.5 Applications of Rational Expressions 6.6 Variation Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Mixed Review Exercises Chapter 6 Test Chapters R—6 Cumulative Review Exercises 7. Roots, Radicals, and Root Functions 7.1 Radical Expressions and Graphs 7.2 Rational Exponents 7.3 Simplifying Radicals, the Distance Formula, and Circles 7.4 Adding and Subtracting Radical Expressions 7.5 Multiplying and Dividing Radical Expressions Summary Exercises: Performing Operations with Radicals and Rational Exponents 7.6 Solving Equations with Radicals 7.7 Complex Numbers Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Mixed Review Exercises Chapter 7 Test Chapters R—7 Cumulative Review Exercises 8. Quadratic Equations and Inequalities 8.1 The Square Root Property and Completing the Square 8.2 The Quadratic Formula 8.3 Equations Quadratic in Form Summary Exercises: Applying Methods for Solving Quadratic Equations 8.4 Formulas and Further Applications 8.5 Polynomial and Rational Inequalities Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Mixed Review Exercises Chapter 8 Test Chapters R—8 Cumulative Review Exercises 9. Additional Graphs of Functions and Relations 9.1 Review of Operations and Composition 9.2 Graphs of Quadratic Functions 9.3 More About Parabolas and Their Applications 9.4 Symmetry; Increasing and Decreasing Functions 9.5 Piecewise Linear Functions Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Mixed Review Exercises Chapter 9 Test Chapters R—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 Mixed Review Exercises Chapter 10 Test Chapters R—10 Cumulative Review Exercises 11. Polynomial and Rational Functions 11.1 Zeros of Polynomial Functions (I) 11.2 Zeros of Polynomial Functions (II) 11.3 Graphs and Applications of Polynomial Functions Summary Exercises: Examining Polynomial Functions and Graphs 11.4 Graphs and Applications of Rational Functions Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Mixed Review Exercises Chapter 11 Test Chapters R—11 Cumulative Review Exercises 12. Conic Sections and Nonlinear Systems 12.1 Circles Revisited and Ellipses 12.2 Hyperbolas and Functions Defined by Radicals 12.3 Nonlinear Systems of Equations 12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Mixed Review Exercises Chapter 12 Test Chapters R—12 Cumulative Review Exercises 13. Further Topics in Algebra 13.1 Sequences and Series 13.2 Arithmetic Sequences 13.3 Geometric Sequences 13.4 The Binomial Theorem 13.5 Mathematical Induction 13.6 Counting Theory 13.7 Basics of Probability Chapter 13 Summary Chapter 13 Review Exercises Chapter 13 Mixed Review Exercises Chapter 13 Test Chapters R—13 Cumulative Review Exercises Appendix A: Solving Systems of Linear Equations by Matrix Methods Appendix B: Determinants and Cramer’s Rule Appendix C: Properties of Matrices Appendix D: Matrix Inverses Photo Credits Answers to Selected Exercises Index Table of Contents
Get Algebra for College Students, 8th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis
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