Review 5: Systems of Inequalities & Circles

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line (solid for ≤ or ≥, dashed for < or >). 2. Choose a test point not on the line to determine which side to shade.

Front

What does the solution to a system of inequalities represent?

Back

The solution represents all the points that satisfy all inequalities in the system, typically shown as a shaded region on a graph.

Front

What is the standard form of a circle's equation?

Back

Front

How do you find the center of a circle from its equation?

Back

Rearrange the equation into standard form. The center (h, k) can be found from the terms involving x and y.

Front

What is the radius of a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

How do you calculate the radius from the center and a point on the circle?

Back

Front

What is the general form of a circle's equation?

Back

Front

What does it mean for a point to be inside a circle?

Back

A point (x, y) is inside a circle if the distance from the center to the point is less than the radius.

Front

What does it mean for a point to be outside a circle?

Back

A point (x, y) is outside a circle if the distance from the center to the point is greater than the radius.