Table of Contents

  1. Real Numbers and Algebraic Expressions

    • 1.1 Study Skill Tips for Success in Mathematics

    • 1.2 Algebraic Expressions and Sets of Numbers

    • 1.3 Operations on Real Numbers and Order of Operations

    • Integrated Review: Algebraic Expressions and Operations on Whole Numbers

    • 1.4 Properties of Real Numbers and Algebraic Expressions

  2. Equations, Inequalities, and Problem Solving

    • 2.1 Linear Equations in One Variable

    • 2.2 An Introduction to Problem Solving

    • 2.3 Formulas and Problem Solving

    • 2.4 Linear Inequalities and Problem Solving

    • Integrated Review: Linear Equations and Inequalities

    • 2.5 Compound Inequalities

    • 2.6 Absolute Value Equations

    • 2.7 Absolute Value Inequalities

  3. Graphs and Functions

    • 3.1 Graphing Equations

    • 3.2 Introduction to Functions

    • 3.3 Graphing Linear Functions

    • 3.4 The Slope of a Line

    • 3.5 Equations of Lines

    • Integrated Review: Linear Equations in Two Variables

    • 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

    • 3.7 Graphing Linear Inequalities

  4. Systems of Equations

    • 4.1 Solving Systems of Linear Equations in Two Variables

    • 4.2 Solving Systems of Linear Equations in Three Variables

    • 4.3 Systems of Linear Equations and Problem Solving

    • Integrated Review: Systems of Linear Equations

    • 4.4 Solving Systems of Equations by Matrices

    • 4.5 Systems of Linear Inequalities

  5. Exponents, Polynomials, and Polynomial Functions

    • 5.1 Exponents and Scientific Notation

    • 5.2 More Work with Exponents and Scientific Notation

    • 5.3 Polynomials and Polynomial Functions

    • 5.4 Multiplying Polynomials

    • 5.5 The Greatest Common Factor and Factoring by Grouping

    • 5.6 Factoring Trinomials

    • 5.7 Factoring by Special Products

    • Integrated Review: Operations on Polynomials and Factoring Strategies

    • 5.8 Solving Equations by Factoring and Problem Solving

  6. Rational Expressions

    • 6.1 Rational Functions and Multiplying and Dividing Rational Expressions

    • 6.2 Adding and Subtracting Rational Expressions

    • 6.3 Simplifying Complex Fractions

    • 6.4 Dividing Polynomials: Long Division and Synthetic Division

    • 6.5 Solving Equations Containing Rational Expressions

    • Integrated Review: Expressions and Equations Containing Rational Expressions

    • 6.6 Rational Equations and Problem Solving

    • 6.7 Variation and Problem Solving

  7. Rational Exponents, Radicals, and Complex Numbers

    • 7.1 Radicals and Radical Functions

    • 7.2 Rational Exponents

    • 7.3 Simplifying Radical Expressions

    • 7.4 Adding, Subtracting, and Multiplying Radical Expressions

    • 7.5 Rationalizing Denominators and Numerators of Radical Expressions

    • Integrated Review: Radicals and Rational Exponents

    • 7.6 Radical Equations and Problem Solving

    • 7.7 Complex Numbers

  8. Quadratic Equations and Functions

    • 8.1 Solving Quadratic Equations by Completing the Square

    • 8.2 Solving Quadratic Equations by the Quadratic Formula

    • 8.3 Solving Equations by Using Quadratic Methods

    • Integrated Review: Summary on Solving Quadratic Equations

    • 8.4 Nonlinear Inequalities in One Variable

    • 8.5 Quadratic Functions and Their Graphs

    • 8.6 Further Graphing of Quadratic Functions

  9. Exponential and Logarithmic Functions

    • 9.1 The Algebra of Functions; Composite Functions

    • 9.2 Inverse Functions

    • 9.3 Exponential Functions

    • 9.4 Exponential Growth and Decay Functions

    • 9.5 Logarithmic Functions

    • 9.6 Properties of Logarithms

    • Integrated Review: Functions and Properties of Logarithms

    • 9.7 Common Logarithms, Natural Logarithms, and Change of Base

    • 9.8 Exponential and Logarithmic Equations and Problem Solving

  10. Conic Sections

    • 10.1 The Parabola and the Circle

    • 10.2 The Ellipse and the Hyperbola

    • Integrated Review: Graphing Conic Sections

    • 10.3 Solving Nonlinear Systems of Equations

    • 10.4 Nonlinear Inequalities and Systems of Inequalities

  11. Sequences, Series, and the Binomial Theorem

    • 11.1 Sequences

    • 11.2 Arithmetic and Geometric Sequences

    • 11.3 Series

    • Integrated Review: Sequences and Series

    • 11.4 Partial Sums of Arithmetic and Geometric Sequences

    • 11.5 The Binomial Theorem

Appendix A: Geometry

Appendix B: Stretching and Compressing Graphs of Absolute Value Functions

Appendix C: Solving Systems of Equations Using Determinants

Appendix D: An Introduction to Using a Graphing Utility

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