"Algebra" isn't named after a man. "Al-jabr" was part of the title of a book written (in Arabic) by Al-Khowarizmi. According to http://www.und.edu/instruct/lgeller/algebra.html, jabr was a particular algebraic operation used in solving equations. So the word "algebra" is derived from the Arabic name of a particular mathematical process.
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In 820 a Muslim man named al-Khwarizmi wrote the standard math in Europe that time in history. No one knows of what year it was invented but 820 A.D. was when he wrote the book on it.
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foundations algebra is probably pre algebra, which is before algebra, so no.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)
That is called "algebra".That is called "algebra".That is called "algebra".That is called "algebra".