Instead of lecturing my students on how to solve a system of linear equations to solve a real-world problem, as I used to do, I now start class with a mini-lesson (15-20 minutes in length) to go over the main idea of what they will be learning about today: graphing two linear equations, trying to determine their point of intersection, and then solving the same system algebraically.
The premise of the problem is that there are two students saving money: one has less money to start with, but saves more per week, while another starts with more money, but saves less per week. They eventually end up with the same amount of money at the same point in time.
As soon as the mini-lesson is over, I set them to task on this worksheet. I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
This worksheet is intended to be written on directly.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.