Ah but Giordano you do not live in an algebra free world. The programs that run the computer you are using to communicate, uses algebra as a basis. The dosage of the medication you take, is calculated with the use of algebra. The whole you live in was built using trigonometry.
let me give you an example
Your Dr prescribes medication based on your body weight
He uses an equation similar to the following
x= (dosage per pound of patients body weight) = 5mg
y= Patients body weight body weight expressed as kilograms
So yx = Patients dosage
So if a patient weighs 100kg y would = 100
X = 5mg
So yx would = 500mg
Besides all the practical uses for algebra ,algebra teaches logic skills.