This is an extension of my system of equations exercise posted on July 21st. These are 3 math tasks with a potential assessment method.
Create a system of two equations that has one solution. Show what it looks like on a coordinate plane. I would use an objective, formative assessment.
Create a system of two equations that have no solution. Show what it looks like on a coordinate plane. I would use a subjective, formative assessment since I am looking for a higher level of thought and would value a correct answer as well as a good effort.
Create a system of three equations. You do not need to solve, but show several graphs of what a solution might look like. Talk about what the graph may tell you. For example, is there one solution for all 3 lines based on your graph? I would use a constructive response assessment.