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 that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you find the center of a circle given its equation in standard form?

Back

Front

What is the formula for the radius of a circle given its center and a point on the circle?

Back

Front

Back

Front

How do you convert the general form of a circle's equation to standard form?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

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

Back

Front

How do you determine if a point lies inside, on, or outside a circle?

Back

Substitute the point (x, y) into the circle's equation. If the result is less than r^2, it's inside; equal to r^2, it's on; greater than r^2, it's outside.

Front

What is the relationship between the coefficients in the general form of a circle's equation and its center and radius?

Back

Front

What does the inequality @@y eq rac{1}{2}x + 3@@ indicate?

Back