Intermediate Algebra (11th edition)

(Marvins-Underground-K-12) #1

  • 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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