ResourceMAP - Solving Systems of Linear Equations - Teacher Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Solving Systems of Linear Equations

Business people often have make complex decisions. In order to maximize profit,
management must decide how they will use a company’s resources. This often
requires solving allocation problems that can be modeled by systems of equations.

In this module you will explore applications of linear systems in two variables.
These systems can be solved by graphical or algebraic methods. In the real world,
many problems involve more than two variables. As the number of variables and
equations increases, other methods (including technology) are used to solve the
system.

I. Purpose
• To provide practice solving systems of equations by graphing
• To provide practice solving systems of equations algebraically
• To provide practice using systems of linear equation to model real-world
problems

II. Mathematical Focus
• Graphing systems of linear equations
• Solving systems of linear equations

III. Tip Sheet
One Tip Sheet, Solving Systems of Linear Equations, accompanies this module.
It includes:
• Definitions
• Reminders that a system can have one solution, no solution, or infinitely many
solutions
• Examples of solving systems of equations graphically and algebraically
• Tips on finding equations for verbal problems