System of Linear/Quadratic Equations

Front

What is a system of linear equations?

Back

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

Front

What does it mean for a system of equations to have one solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines coincide, meaning they are the same line.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point(s) where the lines intersect on the graph.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How can a linear equation and a quadratic equation intersect?

Back

They can intersect at 0, 1, or 2 points depending on their graphs.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.