No, SOL doesn't factor into the grade.

You can also choose not to take them and wait to take a math SOL in high school. You do have to take one to graduate.

Not SOL, but course grade

https://www.fcps.edu/registration/thomas-jefferson-admissions/eligibility-requirements#:~:text=All%20applicants%20to%20TJHSST%2C%20at,to%20be%20eligible%20to%20apply.

Yes, if the applicant takes them at 7th and 8th grade.

Does TJ see it/use it in application consideration?

No. There is actually policy saying it can’t count.

For middle school students?