Algebra is used very frequently in our daily lives. Its use is so common that most of the times we use Algebra without even realizing it.
It supplies us with simple generic formulas with the help of which we can solve our daily life problems with extraordinary ease. It uses symbols such as a, b, c, d, x, y, z etc (instead of actual values) to represent our daily life problems and to find their solutions.
Our everyday life is full of such examples where we apply simple algebraic techniques for simple arithmetic calculations without "consciously" knowing that we are using algebra. Algebraic techniques are also useful in more advanced calculations, and one again these techniques are in common practice by almost all of us. We present an example here.
Very often we come across a situation where we have a couple of different choices. But we want to choose the best option that brings us maximum benefit while staying under some constraints. There is a branch of Algebra called “Linear Programming” that deals with finding the best possible solution to an optimization problem while staying within prescribed limitations / constraints. The real world problem can be represented mathematically through algebraic expressions called linear inequalities. A solution to these linear inequalities gives the optimum solution to the problem.