if you want to do well in a calculus class, the only thing that really matters is that you can do high school algebra well (including trigonometric functions, exponentials, logs, etc.) and you actually understand what you are doing (as opposed to just knowing what to do because you memorized the answer-getting procedures).
here's a test that I give to check whether your algebra is good enough for calculus or not:
let f(x) = (x+1)/(x2-x+1) and let g(x) = f(x)+f(-x).
a) write down the expression defining g(x) and add the fractions together and simplify it
b) use the result to solve the equation g(x) = 1
c) [hard] use the identity tan(x)2 = (1-cos(2x))/(1+cos(2x)) to show that g(tan(x)) = 8(cos(2x)+3)/(cos(4x)+7)-2. google any other trig identities that you need
this is a reasonably difficult problem so expect it to take some time even if your algebra is good (I have a math degree so this type of problem is easy for me, but it still took 10 minutes to do part c). can you do it:
if you can get through...