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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 Chapters R—2 Cumulative Review Exercises 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, Inequalities, and Functions 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 Graphs of Quadratic Functions 8.6 More about Parabolas and Their Applications 8.7 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. Inverse, Exponential, and Logarithmic Functions 9.1 Inverse Functions 9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms 9.5 Common and Natural Logarithms 9.6 Exponential and Logarithmic Equations; Further Applications Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Mixed Review Exercises Chapter 9 Test Chapters R—9 Cumulative Review Exercises Appendix: Synthetic Division Answers to Selected Exercises Glossary Credits Index Additional topics available in MyMathLab: Solving Systems of Linear Equations by Matrix Methods; Determinants and Cramer’s Rule; Piecewise Linear Functions; Conic Sections; Nonlinear Systems of Equations; Second-Degree Inequalities and Systems of Inequalities; Linear Programming; Sequences and Series; The Binomial Theorem Table of Contents
Get Intermediate Algebra, 12th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis
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