There are quite a few, but here are some:
and many others!
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properties are based on axioms
if you put your mind to it it is not really hard just rember your properties
algebra the branch of mathematics dealing with the properties and relations of numbers; the generalized and extension of arithmetic. - algebraic
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.