A seven-hour video course covering a complete college algebra curriculum. Topics include exponent rules, simplifying radicals, factoring, rational expressions, solving quadratic, rational, radical and absolute value equations, interval notation, absolute value and compound inequalities, polynomial and rational inequalities, distance and midpoint formulas, circles and lines, parallel and perpendicular lines, functions and their transformations, quadratic functions in standard and vertex form, polynomials, exponential functions and applications, compound interest, logarithms and log rules, systems of linear equations, distance-rate-time and mixture word problems, rational functions, and combining, composing and inverting functions. Suited to students preparing for or reviewing a college algebra or precalculus course.

Syllabus

Exponent Rules.
Simplifying using Exponent Rules.
Simplifying Radicals.
Factoring.
Factoring - Additional Examples.
Rational Expressions.
Solving Quadratic Equations.
Rational Equations.
Solving Radical Equations.
Absolute Value Equations.
Interval Notation.
Absolute Value Inequalities.
Compound Linear Inequalities.
Polynomial and Rational Inequalities.
Distance Formula.
Midpoint Formula.
Circles: Graphs and Equations.
Lines: Graphs and Equations.
Parallel and Perpendicular Lines.
Functions.
Toolkit Functions.
Transformations of Functions.
Introduction to Quadratic Functions.
Graphing Quadratic Functions.
Standard Form and Vertex Form for Quadratic Functions.
Justification of the Vertex Formula.
Polynomials.
Exponential Functions.
Exponential Function Applications.
Exponential Functions Interpretations.
Compound Interest.
Logarithms: Introduction.
Log Functions and Their Graphs.
Combining Logs and Exponents.
Log Rules.
Solving Exponential Equations Using Logs.
Solving Log Equations.
Doubling Time and Half Life.
Systems of Linear Equations.
Distance, Rate, and Time Problems.
Mixture Problems.
Rational Functions and Graphs.
Combining Functions.
Composition of Functions.
Inverse Functions.
Exponent Rules.
Simplifying using Exponent Rules.
Simplifying Radicals.
Factoring.
Factoring - Additional Examples.
Rational Expressions.
Solving Quadratic Equations.
Rational Equations.
Solving Radical Equations.
Absolute Value Equations.
Interval Notation.
Absolute Value Inequalities.
Compound Linear Inequalities.
Polynomial and Rational Inequalities.
Distance Formula.
Midpoint Formula.
Circles: Graphs and Equations.
Lines: Graphs and Equations.
Parallel and Perpendicular Lines.
Functions.
Toolkit Functions.
Transformations of Functions.
Introduction to Quadratic Functions.
Graphing Quadratic Functions.
Standard Form and Vertex Form for Quadratic Functions.
Justification of the Vertex Formula.
Polynomials.
Exponential Functions.
Exponential Function Applications.
Exponential Functions Interpretations.
Compound Interest.
Logarithms: Introduction.
Log Functions and Their Graphs.
Combining Logs and Exponents.
Log Rules.
Solving Exponential Equations Using Logs.
Solving Log Equations.
Doubling Time and Half Life.
Systems of Linear Equations.
Distance, Rate, and Time Problems.
Mixture Problems.
Rational Functions and Graphs.
Combining Functions.
Composition of Functions.
Inverse Functions.