Solving Systems of Equations and Inequalities Review

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 to solve a system of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting 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 that are solved together.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the region where the solutions overlap.

Front

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

Back

It means that the point satisfies all equations in the system when substituted into them.

Front

What is the significance of the intersection point in a system of equations?

Back

The intersection point represents the solution to the system, where all equations are true.

Front

What is a feasible region in the context of inequalities?

Back

The area on a graph where all the inequalities in a system are satisfied.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.