Algebra Series - Concepts and Formulas™
Solutions of Systems of Linear Equations and Inequalities in Two Variables 1 (ALG-CF12)

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 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:

• Open sentences in two variables
• Solutions of open sentences in two variables
• Systems of linear equations
• How to solve systems of linear equations
• How to solve a system of linear equations by graphing
• Types of linear systems in two variables
• How to solve a system of linear equations by substitution
• How to solve a system of linear equations by elimination
• Linear combinations of equations
• Operations that produce equivalent systems
• Linear inequalities in two variables
• Graphs of linear inequalities in two variables
• Half-planes
• How to sketch the solution region of a linear inequality in two variables