Algebra was supposedly started by the thinking of Abu Abdullah Mohammad Ibn Musa al-Khawarizmi, possibly one of the greatest mathematicians who ever lived. He came up with the idea of "Al-Jabr wa-al-Muqabilah", which involved the use of alalytical solutions in linear, and quadratic forms. The very word "Algebra" is derived from the expression.
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Start by looking up Issac Newton, the inventor of modern algebra.
The difference of algebra and algebra 1 is that in algebra they teach you the basics. For example, they teach you about variables, graphs, how to find slopes. In algebra 1 they start using equations and and teach you how to work longer equations and all that jazz.
In reality you need to know your basics before you can actually start on algebra and yes algebra can help you in basic math when in comes to solving certain word problems