In this lesson, students examine a quadratic equation in a particular situation and are reminded of how to solve a system of linear equations. In the associated Algebra 1 lesson, students solve systems of equations involving a quadratic equation, making use of the techniques they learned in this unit. Students are supported by practicing interpreting a quadratic equation in a situation so they can make sense of the solution to the system of equations. They are also supported by recalling methods for solving a system of linear equations and, in the discussion, considering which methods might also work in a system involving a quadratic equation.

Students must reason abstractly and quantitatively (MP2) when they connect a situation to its representation as an equation or graph.

Technology isn't required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.