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Algebra 2 is not just a repeat of algebra, you are still studying the form of math called algebra but algebra is a wide topic and in Algebra 2 your simply getting into the more advanced aspects of that topic.
Algebra, just like the name itself, comes from the arabic countries in the middle east
My Teacher said in the begining of pre calculus it is baisically algebra 3 and geometry 2. pre calc algebra is more complicated than basic algebra. however pre calc uses that basic algebra in solving problems. so all in all, they are just different levels of algebra
They are the same thing but when you go into Algebra 1a, its like part one, and there is a part b, and just algebra 1 is the same thing, but not in two parts. Some schools offer a two-year course that covers algebra 1 in two years. in this case, algebra 1a is less advanced than algebra 1, since the pace is only half as fast.
It is not hard compared to college algebra. pre-calc just incorporates topics you have learned so far uo to college algebra and introduces a few more. if you did well in algebra, you should do well in pre-calc.