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study hard :D
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. :)
Algebra 2 is harder and more complicated than Algebra 1. It also introduces more variables and harder equations.