• How to use this Algebra Help e-book
  • Copyright Notice
  • Introduction: Exactly What is Algebra?

  • Chapter 1 - Some Pre-Algebra Topics That You Should Already Know
    • 1.1 - Factors of Numbers, Greatest Common Factors and Least Common Multiples
    • 1.2 - Fractions and how to Add, Subtract, Multiply and Divide Them
    • 1.3 - Decimal and Exponential Notation
    • 1.4 - Order of Operations and Invisible Brackets
    • Algebra Coach Exercises
  • Chapter 2 - Numbers
    • 2.1 - The Types of Numbers
    • 2.2 - Addition and Subtraction of Numbers
    • 2.3 - Multiplication of Numbers
    • 2.4 - Division of Numbers
    • 2.5 - Scientific Notation
    • 2.6 - Approximate Numbers and Significant Figures
    • Algebra Coach Exercises
  • Chapter 3 - Expressions
    • 3.1 - Introduction to Expressions
    • 3.2 - Addition and Subtraction of Expressions
    • 3.3 - Integer Exponents
    • 3.4 - Multiplication of Expressions
    • 3.5 - Division of Expressions
    • 3.6 - Expression Trees
    • 3.7 - Reference - Simplifying Expressions
    • Algebra Coach Exercises
  • Chapter 4 - Equations
    • 4.1 - Introduction to Equations
    • 4.2 - Linear Equations
    • Algebra Coach Exercises
  • Chapter 5 - Functions
    • 5.1 - Introduction to Functions
    • 5.2 - Reference - Graphs of Eight Basic Types of Functions
    • 5.3 - Reference - The Eleven Built-in Functions
      • sin, cos and tan
      • arcsin, arccos and arctan
      • log, ln and exp
      • square root and power
    • Algebra Coach Exercises
  • Chapter 6 - Graphs, Linear Functions and Straight Lines
    • 6.1 - Rectangular Coordinates
    • 6.2 - Linear Functions and Straight Lines
    • 6.3 - Other Types of Graphs
    • Algebra Coach Exercises
  • Chapter 7 - Systems of Linear Equations
    • 7.1 - Introduction to Systems of Linear Equations
    • 7.2 - The Substitution Method
    • 7.3 - The Elimination Method
    • Algebra Coach Exercises
  • Chapter 8 - Factoring
    • 8.1 - Common Factors
    • 8.2 - Difference of Squares
    • 8.3 - Quadratic Trinomials
    • 8.4 - Factoring by Grouping
    • 8.5 - Sum or Difference of Cubes
    • Algebra Coach Exercises
  • Chapter 9 - Quadratics and Quadratic Equations
    • 9.1 - Introduction to Quadratics
    • 9.2 - The Completing-the-Square Method
    • 9.3 - Factoring Quadratics by Completing the Square
    • 9.4 - Quadratic Equations
    • Algebra Coach Exercises
  • Chapter 10 - Polynomials and Polynomial Equations
    • 10.1 - Introduction to Polynomials
    • 10.2 - Factoring Polynomials
    • 10.3 - Polynomial Equations
    • Algebra Coach Exercises
  • Chapter 11 - Fractions and Fractional Equations
    • 11.1 - Simplification of Algebraic Fractions
    • 11.2 - Multiplication and Division of Algebraic Fractions
    • 11.3 - Addition and Subtraction of Algebraic Fractions
    • 11.4 - Fractional Equations
    • Algebra Coach Exercises
  • Chapter 12 - Exponents and Logarithms
    • 12.1 - Exponents
    • 12.2 - Logarithms
    • 12.3 - Exponential Functions
    • 12.4 - Logarithmic Functions
    • 12.5 - Logarithmic Graphs
    • 12.6 - Exponential Equations
      • The Four Types
    • 12.7 - Logarithmic Equations
    • Algebra Coach Exercises
  • Chapter 13 - Radicals and Radical Equations
    • 13.1 - Simplifying Radicals
    • 13.2 - Radical Equations
    • Algebra Coach Exercises
  • Chapter 14 - Trigonometry
    • 14.1 - Introduction to Trigonometry
    • 14.2 - Trigonometric Identities
    • 14.3 - Trigonometric Equations
    • Algebra Coach Exercises
  • Chapter 15 - Complex Numbers
    • 15.1 - Introduction to Complex Numbers
    • 15.2 - Complex Numbers in Polar and Exponential Form
    • Algebra Coach Exercises