Elementary Algebra is mainly for 4th, 5th and 6th grade, and they are not so difficult while Pre Algebra is more difficult used mainly in 6th,7th,8th
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Stewart B. Sabin has written:
'Elementary lessons in algebra' -- subject(s): Accessible book,
Algebra
'Key to Elementary lessons in algebra' -- subject(s): Algebra,
Lowry, Charles D.
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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.