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• Lecture 1:
  •  Factoring

• Lecture 2:
  •  Rational Expressions

• Lecture 3:
  • Using Rational Expressions
  • Solving Rational Equations
  • Formulas and More Problem Solving

• Lecture 4:
  • Graphs and Functions – Another Look at Linear Graphs
  • Graphs and Functions – Slope of a Line and Slope-Intercept Form of an Equation
  • Graphs and Functions – Functions

• Lecture 5:
  • Systems of Equations in Two Variables
  • Problem Solving Using a System of Two Equations in Two Variables

• Lecture 6:
  • Systems of Equations in Three Variables
  • Problem Solving Using Systems of Three Equations

• Lecture 7:
  • Inequalities and Equations – Solving Inequalities: Interval Notation & Problem Solving
  • Inequalities and Equations – Compound Inequalities
  • Inequalities and Equations – Absolute Value Equations and Inequalities

• Lecture 8:
  • Radicals – Radical Expressions
  • Radicals – Rational Exponents
  • Radicals – Multiplying and Simplifying with Radical Expressions

• Lecture 9:
  • More About Radicals – Dividing and Simplifying Radical Expressions
  • More About Radicals – Addition, Subtraction, and More Multiplication of Radical Expressions
  • More About Radicals – Rationalizing Numerators or Denominators

• Lecture 10:
  • Using Radicals and Complex Numbers – Solving Radical Equations
  • Using Radicals and Complex Numbers – Geometric Applications
  • Using Radicals and Complex Numbers – Complex Numbers

• Lecture 11:
  • Solving Quadratic Equations – The Principle of Square Roots
  • Solving Quadratic Equations – Completing the Square
  • Solving Quadratic Equations – The Quadratic Formula and Problem Solving
  • Solving Quadratic Equations – The Discriminant and Solutions to Quadratic Equations

• Lecture 12:
  • Equations Leading to Quadratic Equations – Rational Equations and Problem Solving
  • Equations Leading to Quadratic Equations – Equations Reducible to Quadratic

• Lecture 13:
  • Quadratic Equations – Quadratic Functions and Their Graphs
  • Quadratic Equations – More About Graphing Quadratic Functions
  • Quadratic Equations – Problem Solving and Quadratic Functions

• Lecture 14:
  • Additional Inequalities and Formulas in the Coordinate Plane – Polynomial and Rational Inequalities
  • Additional Inequalities and Formulas in the Coordinate Plane – Distance and Midpoint Formulas

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