Elementry Algebra is something that 6th, 7th, 8th and even, 9th graders take.
The basic standard is
6th grade: Junior High Mathematics
7th grade: Transition
8th grade: Algebra
9th grade: Geometry
10th grade: Algebra 2
11th grade: Trigonometry
And so on so forth.
So the difference is the grades and what level you are in.
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The difference is just the grade level. Elementary algebra is more of 4th 5th and maybe 6th. Pre algebra is more 6th 7th and possibly 8th.
Algebra is a form (or subset) of mathematics.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)
there is no such thing as Integrated Algebra 2 but they represent the same concept
algebra 2 is more advanced