In order to solve problems using Calculus,
you have to know Calculus.
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No. Chances are it will be the other way around: if you are bad at math, you stand a good chance of failing calculus or linear algebra. You will perform best at calculus and algebra if you have a strong math background.
No, the original SAT test does not have calculus. The SAT Subject Test for Math 2 also does not have calculus.
algebra
Precalculus and/or calculus.
Algebra and calculus