This worksheet helps students write and solve real life linear equations given two variables and different scenarios. Students have to create an equation (written in standard form), and then graph the equation by finding the intercepts (I find this the easiest way for students to graph linear problems given a standard form equation). Students can convert the equation to slope intercept if they want to (I had a couple do this), but most prefer the intercept method.
After graphing the line, students are then asked a question about the scenario and they can use either the graph or the equation (or both to check their answer from the graph) to solve the problem. Students will find that using the graph to find your answer is easier, but sometimes not as accurate if the graph doesn't have nice exact numbers (I used a variety of x and y intercepts on this worksheet).
This was a great worksheet for my students to wrap up graphing linear equations. I have included an answer key I used with this worksheet.