Pre-algebra is essentially the basics of algebra. Algebra can be tough for many, so as a way to break the ice, you (ussually) take a pre-algebra course before algebra itself. Algebra is a very large subject, spanning multiple years of courses in most (if not all) schools. After pre-algebra, you have to work with many algebraic equations in the later courses, which cannot be understood without learning the basics that are taught in pre-algebra.
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A harder version of algebra 1
Adv. is accelerated most likely.
Algebra 1 is a class/course that is on a higher level than Algebra.
There's no such thing as Algebra 3Edit: Yes there is. It is a college level course and when it is offered in high school it's called Algebra Three. The difference is that Algebra 3 is more in depth than Algebra Two is.
properties are based on axioms