This is a group problem solving activity to use with Solving Systems of Linear Equations. Students should already know how to solve a system by substitution, elimination, and graphing. Upon completion of this activity, students will have created and solved 3 systems of equations to model real world scenarios.
In this activity, students should be divided into groups of 3 or 4. I print enough copies of the handout so that each student has their own. I also print enough copies of the application problems so that there is enough for each group to have one at a time, with a few extra so that groups can work at their own pace and have a problem available when they are ready to move on. You could also hang the problems up around the room for students to look at if that would work in your room.
Students will select one problem at a time, and write a system of equations to model the scenario.
After all 3 systems are written, each group must choose 1 that will be solved by substitution, one that will be solved by elimination, and one that will be solved graphically.
Then they will solve each system by the chosen method and answer the questions in each problem.
Page 1 is a teacher instruction sheet, pages 2 and 3 are the student worksheet, and pages 4,5, and 6 are the application problems.