Systems of Equations/Inequalities Review

Front

What type of line is represented by the inequality 5 ≥ x when graphed?

Back

Solid

Front

How do you solve a system of inequalities by graphing?

Back

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

Front

What is the solution to the system using substitution if the answer is (0,-3)?

Back

The solution is the point (0,-3) on the graph.

Front

Which point is a solution of the system if the options are (0, 0), (0, 1), (1, 0), (1, 1) and the answer is (1, 1)?

Back

(1, 1) is the solution.

Front

What does it mean for the solution (x, y) to a system of equations?

Back

It means the point where the two lines intersect.

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of a line, with the line being solid or dashed depending on the inequality.

Front

What does a solid line indicate in graphing inequalities?

Back

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

Front

What does a dashed line indicate in graphing inequalities?

Back

It indicates that the points on the line are not 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 into each equation; if it satisfies all equations, it is a solution.