This circuit contains 28 equations, and students are asked to solve for a specified variable. Some of them are actual equations (volume of a cylinder, pythagorean theorem) and some of them are nonsense equations but good practice none-the-less. Many, but not all, of the equations involve squares. Students will need to be finished or in the middle of a solving quadratics unit before they tackle this circuit. There are a few times when the student will have to rewrite ax + bx (when solving for x, e.g.) as (a+b)x or x(a+b). I could imagine this set of exercises for strong algebra one students towards the end of the course, or algebra two students at the beginning of the course. [I have another circuit which does not involve squares or factoring to complete... https://www.teacherspayteachers.com/Product/Circuit-Training-Solving-Literal-Equations-Transforming-Formulas-2752099]
To advance in the circuit, students hunt for their answer and this becomes the next problem. My students love working in this format. My students love this format. They engage with the mathematics, talk and help each other, and are motivated to complete the set of exercises.
I do not include answer keys with my circuits since the answers are already there. It is how students move from one problem to the next. The only thing the teacher needs to to is work the circuit before the students to determine how it can best be used in the class. My colleagues and I check our circuits very carefully but if you get stuck or suspect there is a mistake, please do not hesitate to email me at firstname.lastname@example.org.