Systems of Equations & Inequalities

Solve systems of equations * Create equations that describe numbers or relationships * Represent and solve equations and inequalities graphically * Analyze and solve linear equations and pairs of simultaneous linear equations.

Topics

Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Comparing Methods to Solving Systems
Linear Inequalities
Systems of Linear Inequalities

Prerequisites

Solving equations
Solving inequalities
Writing functions
Graphing linear equations

Goals

Solve a system of equations by graphing (by hand and with technology)
Explain that a point of intersection on the graph of a system of equations represents a solution to both equations
Explain why some linear systems have no solutions or infinitely many solutions
Solve a system of equations algebraically by substitution
Solve a system of equations algebraically by elimination
Interpret the solution of a system of equations
Solve an application problem that is modeled by a system of equations
Solve systems of linear inequalities