Introductory Algebra

• Chapter R. Prealgebra Review
  • R.1 Factors and the Least Common Multiple
  • R.2 Fractions
  • R.3 Decimals and Percents
  • R.4 Reading Pictographs and Bar, Line, and Circle Graphs
• Chapter 1. Real Numbers and Introduction to Algebra
  • 1.1 Tips for Success in Mathematics
  • 1.2 Symbols and Sets of Numbers
  • 1.3 Exponents, Order of Operations, and Variable Expressions
  • 1.4 Adding Real Numbers
  • 1.5 Subtracting Real Numbers
    • Integrated Review – Operations on Real Numbers
  • 1.6 Multiplying and Dividing Real Numbers
  • 1.7 Properties of Real Numbers
  • 1.8 Simplifying Expressions
• Chapter 2. Equations, Inequalities, and Problem Solving
  • 2.1 The Addition Property of Equality
  • 2.2 The Multiplication Property of Equality
  • 2.3 Further Solving Linear Equations
    • Integrated Review – Solving Linear Equations
  • 2.4 An Introduction to Problem Solving
  • 2.5 Formulas and Problem Solving
  • 2.6 Percent and Mixture Problem Solving
  • 2.7 Solving Linear Inequalities and Problem Solving
• Chapter 3. Exponents and Polynomials
  • 3.1 Exponents
  • 3.2 Negative Exponents and Scientific Notation
  • 3.3 Introduction to Polynomials
  • 3.4 Adding and Subtracting Polynomials
  • 3.5 Multiplying Polynomials
  • 3.6 Special Products
    • Integrated Review – Exponents and Operations on Polynomials
  • 3.7 Dividing Polynomials
• Chapter 4. Factoring Polynomials
  • 4.1 The Greatest Common Factor and Factoring by Grouping
  • 4.2 Factoring Trinomials of the Form x² bx + c
  • 4.3 Factoring Trinomials of the Form ax² + bx + c
  • 4.4 Factoring Trinomials of the Form ax² + bx + c by Grouping
  • 4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
    • Integrated Review – Choosing a Factoring Strategy
  • 4.6 Solving Quadratic Equations by Factoring
  • 4.7 Quadratic Equations and Problem Solving
• Chapter 5. Rational Expressions
  • 5.1 Simplifying Rational Expressions
  • 5.2 Multiplying and Dividing Rational Expressions
  • 5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
  • 5.4 Adding and Subtracting Rational Expressions with Different Denominators
  • 5.5 Solving Equations Containing Rational Expressions
    • Integrated Review – Summary on Rational Expressions
  • 5.6 Proportions and Problem Solving with Rational Equations
  • 5.7 Simplifying Complex Fractions
• Chapter 6. Graphing Equations and Inequalities
  • 6.1 The Rectangular Coordinate System
  • 6.2 Graphing Linear Equations
  • 6.3 Intercepts
  • 6.4 Slope and Rate of Change
  • 6.5 Equations of Lines
    • Integrated Review – Summary on Linear Equations
  • 6.6 Introduction to Functions
  • 6.7. Graphing Linear Inequalities in two Variables
• Chapter 7. Systems of Equations
  • 7.1 Solving systems of Linear Equations by Graphing
  • 7.2 Solving Systems of Linear Equations by Substitution
  • 7.3 Solving Systems of Linear Equations by Addition
    • Integrated Review – Systems of Linear Equations
  • 7.4 Systems of Linear Equations and Problem Solving
• Chapter 8. Roots and Radicals
  • 8.1 Introduction to Radicals
  • 8.2 Simplifying Radicals
  • 8.3 Adding and Subtracting Radicals
  • 8.4 Multiplying and Dividing Radicals
    • Integrated Review – Simplifying Radicals
  • 8.5 Solving Equations Containing Radicals
  • 8.6 Radical Equations and Problem Solving
  • 8.7 Direct and Inverse Variation Including Radical Applications
• Chapter 9. Quadratic Equations
  • 9.1 Solving Quadratic Equations by the Square Root Property
  • 9.2 Solving Quadratic Equations by Completing the Square
  • 9.3 Solving Quadratic Equations by the Quadratic Formula
    • Integrated Review – Summary of Solving Quadratic Equations
  • 9.4 Graphing Quadratic Equations in Two Variables

Appendices

• A. Tables
• B. Factoring Sums and Differences of Cubes
• C. Mean, Median, Mode, Range, and Intro to Statistics
• D. Sets
• E. Review of Angles, Lines, and Special Triangles
• F. Interval Notation and Finding Domains and Ranges from Graphs