Systems of Equations and Inequalities Review

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is a solution to a system of equations?

Back

A solution is a point where the graphs of the equations intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.

Front

How can you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is the graphical representation of a system of inequalities?

Back

The solution is represented by the shaded region where all inequalities overlap.

Front

What is the difference between a system of equations and a system of inequalities?

Back

A system of equations has exact solutions, while a system of inequalities has a range of solutions.

Front

What does the term 'ordered pair' mean in the context of systems of equations?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the coordinate plane.

Front

How do you graph a system of equations?

Back

Graph each equation on the same coordinate plane and identify the intersection point.

Front

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

Back

The intersection point represents the solution to the system.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel, existing in different planes.