I'm not familiar with the QuickReview books, but one thing you'll need to do is see if you actually know the material; if the books come with math problems to try out, do those, otherwise, find a math workbook that you can try.
As for the order, it really depends. CliffsNotes has 2 algebra classes and 1 calculus class. Looking at their website, I'd recommend something like this:
Algebra 1
Geometry
Algebra 2
Trigonometry
Calculus
or some other similar assortment. I just threw in Geometry like that because some Algebra II curriculums require it.
And as a sidenote: do the QuickReview books teach you sufficiently, or are they simply, well, review? They might not explain things as well as they could. You might want to get a decent mathematics textbook (and/or accompanying teacher's edition, so you have the answers to its problems) instead. Whatever works best for you.