Beginning and Intermediate Algebra with Applications & Visualization, 4th edition

1. Introduction to Algebra
   • 1.1 Numbers, Variables, and Expressions
   • 1.2 Fractions
   • 1.3 Exponents and Order of Operations
   • 1.4 Real Numbers and the Number Line
   • 1.5 Addition and Subtraction of Real Numbers
   • 1.6 Multiplication and Division of Real Numbers
   • 1.7 Properties of Real Numbers
   • 1.8 Simplifying and Writing Algebraic Expressions
2. Linear Equations and Inequalities
   • 2.1 Introduction to Equations
   • 2.2 Linear Equations
   • 2.3 Introduction to Problem Solving
   • 2.4 Formulas
   • 2.5 Unit Analysis
   • 2.6 Linear Inequalities
3. Graphing Equations
   • 3.1 Introduction to Graphing
   • 3.2 Equations in Two Variables
   • 3.3 Intercepts; Horizontal and Vertical Lines
   • 3.4 Slope and Rates of Change
   • 3.5 Slope-Intercept Form
   • 3.6 Point-Slope Form
   • 3.7 Introduction to Modeling
4. Systems of Linear Equations in Two Variables
   • 4.1 Solving Systems of Linear Equations Graphically and Numerically
   • 4.2 Solving Systems of Linear Equations by Substitution
   • 4.3 Solving Systems of Linear Equations by Elimination
   • 4.4 Systems of Linear Inequalities
5. Polynomials and Exponents
   • 5.1 Rules for Exponents
   • 5.2 Addition and Subtraction of Polynomials
   • 5.3 Multiplication of Polynomials
   • 5.4 Special Products
   • 5.5 Integer Exponents and the Quotient Rule
   • 5.6 Division of Polynomials
6. Factoring Polynomials and Solving Equations
   • 6.1 Introduction to Factoring
   • 6.2 Factoring Trinomials I (x² + bx + c)
   • 6.3 Factoring Trinomials II (ax² + bx + c)
   • 6.4 Special Types of Factoring
   • 6.5 Summary of Factoring
   • 6.6 Solving Equations by Factoring I (Quadratics)
   • 6.7 Solving Equations by Factoring II (Higher Degree)
7. Rational Expressions
   • 7.1 Introduction to Rational Expressions
   • 7.2 Multiplication and Division of Rational Expressions
   • 7.3 Addition and Subtraction with Like Denominators
   • 7.4 Addition and Subtraction with Unlike Denominators
   • 7.5 Complex Fractions
   • 7.6 Rational Equations and Formulas
   • 7.7 Proportions and Variation
8. Introduction to Functions
   • 8.1 Functions and Their Representations
   • 8.2 Linear Functions
   • 8.3 Compound Inequalities and Piecewise-Defined Functions
   • 8.4 Other Functions and Their Properties
   • 8.5 Absolute Value Equations and Inequalities
9. Systems of Linear Equations
   • 9.1 Systems of Linear Equations in Three Variables
   • 9.2 Matrix Solutions of Linear Systems
   • 9.3 Determinants
10. Radical Expressions and Functions
    • 10.1 Radical Expressions and Functions
    • 10.2 Rational Exponents
    • 10.3 Simplifying Radical Expressions
    • 10.4 Operations on Radical Expressions
    • 10.5 More Radical Functions
    • 10.6 Equations Involving Radical Expressions
    • 10.7 Complex Numbers
11. Quadratic Functions and Equations
    • 11.1 Quadratic Functions and Their Graphs
    • 11.2 Transformations and Translations of Parabolas
    • 11.3 Quadratic Equations
    • 11.4 The Quadratic Formula
    • 11.5 Quadratic Inequalities
    • 11.6 Equations in Quadratic Form
12. Exponential and Logarithmic Functions
    • 12.1 Composite and Inverse Functions
    • 12.2 Exponential Functions
    • 12.3 Logarithmic Functions
    • 12.4 Properties of Logarithms
    • 12.5 Exponential and Logarithmic Equations
13. Conic Sections
    • 13.1 Parabolas and Circles
    • 13.2 Ellipses and Hyperbolas
    • 13.3 Nonlinear Systems of Equations and Inequalities
14. Sequences and Series
    • 14.1 Sequences
    • 14.2 Arithmetic and Geometric Sequences
    • 14.3 Series
    • 14.4 The Binomial Theorem

Appendix A. Using the Graphing Calculator

Appendix B. Sets

Appendix C. Linear Programming

Appendix D. Synthetic Division