Assess students' ability to solve a system containing one linear and one quadratic equation using algebraic methods (substitution and elimination) and graphical methods. Evaluate solving for intersection points, using the discriminant to predict the number of real intersections (0, 1, or 2), sketching/reading graphs of lines and parabolas to locate intersections, and verifying algebraic solutions against graphs. Tasks require algebraic manipulation, solving quadratics, and connecting solutions to their graphical representation.