SAT scores do not place students into math classes and I am aware of no universities that (solely) use SAT scores for placement (SAT subject tests may be a different matter).
The fact you’ve been placed into Business Algebra is concerning. Can you take remedial algebra classes over the summer?
For the record, I was also not an exceptionally strong math student when I came into college. That’s no reason to avoid math, especially if you want to be an engineer. My school is actually one of those that doesn’t require anything beyond calc 2 for computer science/software engineering students (EE students must take more). I personally think that is inappropriate; any engineering program worth its salt SHOULD force you to take up to diffeq.
If they don’t, I suggest you do what I did, and take classes up to that level anyway. I actually took so many that they were just like “Um here have a second major.”
It’s helped my engineering intuition a lot. I seriously question students who haven’t had more than calculus 2. I recommend you push well beyond it.