One use is to make formulas that will always apply; for example, 5 + 4 = 9 is only applicable in certain situations, but if it's X + 4 = Y, then you can insert whatever the value of X is (whatever you already know in the situation) to find Y, whatever Y is in the situation.
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No, he did not. Algebra was around long before he was.
Mohammed ibn-Musa al-Khwarizmi is who invented algebra,and also algebra has a Arabic root which means something like [breaking a thing and then assembling it correctly again] ,
No. Pythagoras came up with the Pythagorean Theorem and Golden Ratio, though.
You can get through many aspects of geometry without pre-algebra or algebra. However, when it comes to the measurement in geometry, you need algebra for that.
Yeah, you also need to take geometry and algebra 2 in order to graduate.