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Table of Contents

    • About the Author
    • Acknowledgments
    • Preface
    • 1Algebra Fundamentals
      • 1.1Review of Real Numbers and Absolute Value
      • 1.2Operations with Real Numbers
      • 1.3Square and Cube Roots of Real Numbers
      • 1.4Algebraic Expressions and Formulas
      • 1.5Rules of Exponents and Scientific Notation
      • 1.6Polynomials and Their Operations
      • 1.7Solving Linear Equations
      • 1.8Solving Linear Inequalities with One Variable
      • 1.9Review Exercises and Sample Exam
    • 2Graphing Functions and Inequalities

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      • 2.1Relations, Graphs, and Functions

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      • 2.2Linear Functions and Their Graphs

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      • 2.3Modeling Linear Functions

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      • 2.4Graphing the Basic Functions

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      • 2.5Using Transformations to Graph Functions

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      • 2.6Solving Absolute Value Equations and Inequalities

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      • 2.7Solving Inequalities with Two Variables

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      • 2.8Review Exercises and Sample Exam

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    • 3Solving Linear Systems

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      • 3.1Linear Systems with Two Variables and Their Solutions

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      • 3.2Solving Linear Systems with Two Variables

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      • 3.3Applications of Linear Systems with Two Variables

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      • 3.4Solving Linear Systems with Three Variables

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      • 3.5Matrices and Gaussian Elimination

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      • 3.6Determinants and Cramer’s Rule

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      • 3.7Solving Systems of Inequalities with Two Variables

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      • 3.8Review Exercises and Sample Exam

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    • 4Polynomial and Rational Functions

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      • 4.1Algebra of Functions

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      • 4.2Factoring Polynomials

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      • 4.3Factoring Trinomials

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      • 4.4Solve Polynomial Equations by Factoring

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      • 4.5Rational Functions: Multiplication and Division

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      • 4.6Rational Functions: Addition and Subtraction

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      • 4.7Solving Rational Equations

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      • 4.8Applications and Variation

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      • 4.9Review Exercises and Sample Exam

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    • 5Radical Functions and Equations

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      • 5.1Roots and Radicals

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      • 5.2Simplifying Radical Expressions

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      • 5.3Adding and Subtracting Radical Expressions

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      • 5.4Multiplying and Dividing Radical Expressions

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      • 5.5Rational Exponents

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      • 5.6Solving Radical Equations

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      • 5.7Complex Numbers and Their Operations

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      • 5.8Review Exercises and Sample Exam

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    • 6Solving Equations and Inequalities

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      • 6.1Extracting Square Roots and Completing the Square

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      • 6.2Quadratic Formula

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      • 6.3Solving Equations Quadratic in Form

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      • 6.4Quadratic Functions and Their Graphs

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      • 6.5Solving Quadratic Inequalities

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      • 6.6Solving Polynomial and Rational Inequalities

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      • 6.7Review Exercises and Sample Exam

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    • 7Exponential and Logarithmic Functions

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      • 7.1Composition and Inverse Functions

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      • 7.2Exponential Functions and Their Graphs

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      • 7.3Logarithmic Functions and Their Graphs

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      • 7.4Properties of the Logarithm

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      • 7.5Solving Exponential and Logarithmic Equations

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      • 7.6Applications

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      • 7.7Review Exercises and Sample Exam

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    • 8Conic Sections

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      • 8.1Distance, Midpoint, and the Parabola

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      • 8.2Circles

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      • 8.3Ellipses

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      • 8.4Hyperbolas

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      • 8.5Solving Nonlinear Systems

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      • 8.6Review Exercises and Sample Exam

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    • 9Sequences, Series, and the Binomial Theorem

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      • 9.1Introduction to Sequences and Series

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      • 9.2Arithmetic Sequences and Series

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      • 9.3Geometric Sequences and Series

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      • 9.4Binomial Theorem

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      • 9.5Review Exercises and Sample Exam

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