you call it algebra because it has an unknown number which you have to solve for
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There were no Muslims around 4000 years ago when the Babylonians began using what we now call algebra.
it has no steps
Probably having panes.
The "fraction bar" that we usually call it is actually called the vinculum.
Since "pre-" means before, then pre-algebra would be before algebra. Conversely, algebra would be after pre-algebra. Generally, the next class after a pre-algebra class would be Algebra I, followed by Algebra II.