Algebra: 600-h=200. What is h?
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Arabia is the origin of algebra, because the work algebra comes from the Arabic word algibr.
To even consider college algebra you need strong algebra skills. So, your expectation would be to work very hard and be challenged often That is why many take advanced algebra.
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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Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.