Unit 5, Lesson 15
Solving Systems of Equations
Accelerated 7
Preparation
Lesson Narrative
In this lesson, students begin to solve systems algebraically by using a simple form of substitution. Then, they match systems to their graphs to check that their algebraic solutions are reasonable.
Students revisit the conditions for which equations have 0, 1, or infinitely many solutions and adapt the conditions to apply to systems of equations. By examining the slope and y-intercept of the lines in the system, students can determine the number of solutions for the system based on the structure of the equations (MP7).
- Coordinate (orally) the solution of an equation with variables on each side to the solution of a system of two linear equations.
- Create a graph of a system of equations, and identify (orally and in writing) the number of solutions of the system of equations.
Let’s solve systems of equations.
Required Materials
Activity 3
Required Preparation
Provide access to straightedges for drawing accurate graphs and scissors for groups who wish to cut apart the graphs on the blackline master. For the digital version of the activity, acquire devices that can run the applet.