Substitution

Elimination

Graphing inequalities

Isolate variable

Any point (coordinates) that make the inequalities true

A set of two or more inequalities in one or more variables.

An inequality that involves a linear function.

A method for solving systems by adding the equations to eliminate a variable.

Solve one equation for x and y

Solve the equation for the remaining variable

Substitute this expression into the other equation and solve for the variable

Plug in your answer into the revised equation and solve for the other variable

Use a test point to determine which side of the line to shade

Restrictions that need to be placed upon variables used in equations that model real world situations

The test point will lie in one or the half-planes formed by the boundary line

Used to display the solutions to a system of inequalities on a graph

Contains two or more equations

The solution to a system of linear inequality is the region where the graphs of all linear inequalities in the system overlap.

In order to solve for y, take the value for x and substitute it back into either one of the original equations.

The solution of such a system is the ordered pair that is a solution to both equations