Algebra is not only about the square method or about quadratic and multinomial theorums
When we look closely, Algebra is closely related with geometry... in fact it is the language of written geometry.... for the larger part of it...
We see x = y represents a straight line...but what is the significance here...
Here and with other means Algebra generates A means of studying and knowing about the realms of the world on paper.
A question by someone reminds me of the ignorance people pay to quality education , that man asked
" Can the square method i.e. (a+b)^2 = a^2 + b^2 +2ab... can be used to by fruits"
I said nothing... just smiled and thought about those many people who do not understand the inner realms of Mathematics
Algebra is a means to define different structures by giving a voice to geometry using expressions, variables, constants and equations.
It eases the knowledge of various structures and these structures define our surroundings,,, so on the larger scale we understand them better :)
So the next time we crack and egg and tell our kid that it is an oval... we should remember that there are algebraic expressions defining it :)