Solving Systems: Linear and Quadratic

Overview

Goal. Solve a system of one linear and one quadratic equation by substitution, and interpret the solutions as the points where the line and the parabola meet.

Solution of a system (definition). A point (x, y) that satisfies BOTH equations — graphically, a point that lies on both graphs.

A line and a parabola can meet in two points, one point, or none. Substitution — set the expressions equal — finds the points exactly.

Lesson Notes

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Lesson Video

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Interactive Activity

Goal. Solve a linear–quadratic system by setting the expressions equal, and report the solutions as points that check in BOTH equations.

Solution of a system (definition). A point (x, y) that satisfies BOTH equations — graphically, a point that lies on both graphs.

Solving Systems: Linear and Quadratic — Interactive ActivityOpen ›