Algebra comes from an Arabic word (al-jabr) meaning 'to restore'. It was a method of maths first credited to an Arabic mathematician Al-Khwarizmi who worked with numbers by breaking them down into basic units.
Alternate Answer: Leonard Euler wrote a math book with the word 'Algebra' in it and it became very popular back in the 17th Century. His book contained the material from Al-Khwarizmi, and nearly every 'Algebra' book in English or German since that time has more or less coplied Euler's book. The basic understandings of the subject occur earlier in history in Hindu literature. A few years before Al-Khwarizmi a Hindu mathmetician was brought in from India by the Muslim Caliph/leader to teach the Muslim World about math in the Hindu World.
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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. :)
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Pre-algebra is where you just learn the basics of Algebra and Algebra two is way more advanced with new information and taking the concepts you learned in pre-algebra and algebra to the next level.
Algebra A and B Are Only The Beginning Of An algebra Level