you learn how to do it in class..
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By doing the work in the book.
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.
Algebra exists to find solutions
It is al-Kwarizmi, he developed algebra as it is known today.
The easiest way to solve an algebra problem is to work out the problem.