Algebra 1 is in a way better than Pre-Algebra. Algebra 1 is more advanced than Pre-Algebra and will increase your chances in college. But of course there are higher levels than Algebra 1, and if you can master those or at least maintain a decent grade (as in B or higher and maybe a C but it depends on which college or school you are planning on going to).
You should not want to take the easy road in life, and that is for everything you do. Pre-Algebra is an easy road and although you may bother to learn the basics and call it a success in life, you sould still go further and maybe you will become something greater tha you expect of yourself.
So, the answer to your question is answered with another question: "Do you want to become more successful in life and do Pre-Algebra or are you going to do something maybe even higher than Algebra 1?"
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No, prealgebra is math to get you read to algebra. It deals with easier content. Mostly fractions, division multiplication, denominator, and ratios. Algebra deals with variables and equations. Much harder.
pethagoreum theory a2+b2=c2
foundations algebra is probably pre algebra, which is before algebra, so no.
The difference of algebra and algebra 1 is that in algebra they teach you the basics. For example, they teach you about variables, graphs, how to find slopes. In algebra 1 they start using equations and and teach you how to work longer equations and all that jazz.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)