Systems of equations and inequalities

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are solved together.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane, shading the region that satisfies all inequalities.

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution if it satisfies all equations in the system.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is the graphical representation of y ≥ mx + b?

Back

A solid line with shading above the line.

Front

What is the graphical representation of y < mx + b?

Back

A dashed line with shading below the line.

Front

How do you determine if an ordered pair is a solution to a system of inequalities?

Back

Substitute the ordered pair into each inequality and check if all inequalities are satisfied.

Front

What is the substitution method for solving systems of equations?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method for solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.