Systems of Equations and Inequalities

Focus TEKS:   

A.2I write systems of two linear equations given a table of values, a graph, and a verbal description  (R) R.C. 3

A.3F graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist (S) R.C. 2

A.3G estimate graphically the solutions to systems of two linear equations with two variables in real‐world problems (S) R.C. 2

A.3H graph the solution set of systems of two linear inequalities in two variables on the coordinate plane (S) R.C. 2

A.5C solve systems of two linear equations with two variables for mathematical and real world problems (R) R.C. 3

Students will know...

• the difference between a solution of a system of linear equations versus  solutions to a system of linear inequalities

• multiple methods of solving systems of equations

• some systems of linear equations have one solution, infinite solutions, or no solution

Students will be able to...

• solve a system of linear equations by graphing

• solve a system of linear equations by substitution

• solve a system of linear equations by elimination

• solve a system of linear equations by evaluating a table

• interpret the solution to a system linear equations

• write a system of equations to model a situation

• explain when a system of linear equations has one solution, infinite solutions, or no solution

• determine whether an ordered pair is a solution to a system of linear inequalities

• graph the solution of a system of linear inequalities

• interpret solutions to systems of linear inequalities

Essential Questions

• How does one determine the most appropriate and efficient strategy for solving a system?

• How would you construct a system of linear inequalities that has only one solution? no solution? infinite solutions?

VIDEOS