Algebra Series - Concepts and Formulas™
Solutions of Systems of Linear Equations and Inequalities in Two and Three Variables (ALG-CF13)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas spanning solutions of systems of linear equations and inequalities in two and three variables, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Systems of linear inequalities in two variables
• How to solve systems of linear inequalities in two variables
• Solution regions
• Intersections of solution regions
• Functions of two variables
• Linear programming
• A linear programming theorem
• How to find the maximum or minimum value of a function
• Three-dimensional coordinate systems
• Three-space
• Ordered triples
• Octants
• Three-dimensional graphs
• Open sentences in three variables
• The trace of a graph
• How to draw the graph of a linear equation in three variables
• Systems of linear equations in three variables
• How to solve systems of linear equations in three variables