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It isn't; the algebra 1 and 2 that you get taught in middle or high school is elementary algebra. When (if you want to) you get into more advanced algebra, you can learn linear algebra (matrix algebra) and abstract algebra (which involves sets, operations on sets, groups, and many more concepts), and probably several more types of algebra I've never heard of.

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Q: How is elementary algebra different from algebra 1 or 2?
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To do WELL in Algebra 2, you will need to remember part of Algebra 1. However, your teacher should go over part of Algebra 1. I did poorly in Algebra 1, though Algebra 2 now makes sense to me simply because I needed to understand it to understand Algebra 2, and I was able to infer the things that I was unsure of.


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