Hey Scott,
I got a chuckle from the analogy. Thanks. But here's the challenge with the analogy. In Algebra, there is one right answer. In golf, there could be many. Let me explain. There are three main variables - Path (solid contact), Face to Path (curve), Speed (distance). But, unlike math, those variables are interdependent. As you change one variable, it changes the others.
Some of the factors that influence where you start depend on what your goals/priorites are. With my students, I tend to prioritize Solid contact, then straight, then far. The motorcycle tends to help with both solid contact as well as hitting it straighter and further. It also provides the skill of knowing how to close the face. (Most power movements open the face, so it's good to know how to open the face prior to needing that skill). Make brush your home base is great if your priority is solid contact. So those are simple recipies for the average golfer.
While that's a simple recipe, individual psychology comes into play. Which do you like more, hitting it straight? Hitting it solid? Feeling like you're swinging hard? Personally, I hate when I can't control curve, so I usually prioritize hitting it straight over hitting it dead solid. I have some other students who hate if they lose 1 yard for even one day. So they have to prioritize speed. I find more often than not, golfers hate if they don't hit it as solid as they are capable. But it does depend.
Also, different clubs have different priorities. If you're goal is to maximize the driver, then you might lose some low point control with the irons. Or if you are working on iron play, you might lose some of your driving accuracy. So as you see, the equation is more complex than algebra.
The good news, is that the more you work on each skill, the easier it is to work on multiple skills simultaneously. I don't necessarily think there is a "right order", but rather, if you want to maximize your game, you want to work on each skill multiple times and in multiple ways.
One roadmap that I use with my students is to always try and improve your most costly miss. That helps prioritize face or solid contact. If you're reasonably solid and straight, then not hitting it far enough to have enough opportunities could be the "most costly miss".
I hope that gives you some ideas.
PS - I'm working on some reorganization of content, so hopefully that helps decoding your own situation easier.