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 for a line to be dashed in an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does it mean for a line to be solid in an inequality?

Back

A solid line indicates that the points on the line are included in the solution set.

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 both equations are true, the point is a solution.

Front

What is the graphical representation of the inequality y < -2x + 2?

Back

The area below the dashed line y = -2x + 2 is shaded.

Front

What is the solution set of the inequality y ≥ 3?

Back

The solution set includes all points on and above the horizontal line y = 3.

Front

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

Back

It indicates that the left side is greater than the right side, not including the boundary.

Front

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

Back

It indicates that the left side is less than the right side, not including the boundary.

Front

What is the significance of the point (0,0) in inequalities?

Back

It is often tested to determine if it is a solution to the inequality.

Front

How do you graph the inequality y > 3x - 5?

Back

Graph the line y = 3x - 5 as a dashed line and shade above it.