Mohammed ibn-Musa al-Khwarizmi is who invented algebra,and also algebra has a Arabic root which means something like [breaking a thing and then assembling it correctly again] ,
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No, he did not. Algebra was around long before he was.
muhommed
Elementary algebra
No. Pythagoras came up with the Pythagorean Theorem and Golden Ratio, though.
It depends on your school, but it is usually Algebra 1, Algebra 2, then Geometry.