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Table of Contents

    • About the Author
    • Acknowledgements
    • Preface
    • 1Real Numbers and Their Properties
      • 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
      • 1.6Roots and Radicals
      • 1.7Rational Exponents
      • 1.8Polynomials and Their Operations
      • 1.9Factoring Polynomials
      • 1.10Factoring Trinomials
      • 1.11Simplifying Radical Expressions
      • 1.12Adding and Subtracting Radical Expressions
      • 1.13Multiplying and Dividing Radical Expressions
    • 2Equations and Inequalities

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      • 2.1Solving Linear Equations

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      • 2.2Solving Equations Quadratic in Form

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      • 2.3Complex Numbers and Their Operations

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      • 2.4Extracting Square Roots and Completing the Square

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      • 2.5Quadratic Formula

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      • 2.6Solve Polynomial Equations by Factoring

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      • 2.7Solving Radical Equations

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      • 2.8Solving Rational Equations

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      • 2.9Solving Linear Inequalities with One Variable

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      • 2.10Solving Absolute Value Equations and Inequalities

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      • 2.11Solving Quadratic Inequalities

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      • 2.12Solving Polynomial and Rational Inequalities

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    • 3Functions and Their Graphs

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      • 3.1Relations, Graphs, and Functions

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      • 3.2Linear Functions and Their Graphs

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      • 3.3Circles

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      • 3.4Modeling Linear Functions

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      • 3.5Applications and Variation

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      • 3.6Graphing the Basic Functions

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      • 3.7Using Transformations to Graph Functions

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      • 3.8Algebra of Functions

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      • 3.9Rational Functions: Multiplication and Division

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      • 3.10Rational Functions: Addition and Subtraction

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      • 3.11Composition and Inverse Functions

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    • 4Polynomial Functions

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      • 4.1Quadratic Functions and Their Graphs

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    • 5Rational Functions and Conics

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      • 5.1Distance, Midpoint, and the Parabola

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      • 5.2Ellipses

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      • 5.3Hyperbolas

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    • 6Exponential and Logarithmic Functions

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      • 6.1Exponential Functions and Their Graphs

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      • 6.2Logarithmic Functions and Their Graphs

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      • 6.3Properties of the Logarithm

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      • 6.4Solving Exponential and Logarithmic Equations

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      • 6.5Applications

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    • 7Systems of Equations and Inequalities

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      • 7.1Linear Systems with Two Variables and Their Solutions

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      • 7.2Solving Linear Systems with Two Variables

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      • 7.3Applications of Linear Systems with Two Variables

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      • 7.4Solving Nonlinear Systems

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      • 7.5Solving Linear Systems with Three Variables

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      • 7.6Matrices and Gaussian Elimination

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      • 7.7Solving Inequalities with Two Variables

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      • 7.8Solving Systems of Inequalities with Two Variables

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    • 8Matrices and Determinants

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      • 8.1Determinants and Cramer’s Rule

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    • 9Sequences, Series, and Probability

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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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