Solving Systems of Equations and Inequalities by Graphing 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

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation. If it satisfies all equations, it is a solution.

Front

What does it mean for a system of equations to have no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the graphical representation of a solution to a system of inequalities?

Back

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

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value on the left is greater than or equal to the value on the right.

Front

What does the symbol '<' indicate in an inequality?

Back

It indicates that the value on the left is less than the value on the right.

Front

How do you graph the inequality y ≥ x - 3?

Back

Graph the line y = x - 3 as a solid line and shade the region above the line.

Front

What is the solution to the system of equations: x + y = 5 and x - y = 1?

Back

(3, 2) is the solution.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Front

What does it mean if two lines intersect at a point on a graph?

Back

It means that the system of equations has one unique solution at that point.