Systems of Equations, Inequalities & Word Problems

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 does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

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

Back

An inconsistent system has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The solution is where the graphs of the equations intersect.

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations true.

Front

How do you solve a system of equations using substitution?

Back

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

Front

How do you solve a system of equations using elimination?

Back

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

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the overlapping region.

Front

What is the meaning of 'x' and 'y' in a system of equations?

Back

They represent the variables that are being solved for.