When you shop, you may benefit in knowing how much is discounted on an object or food. Or if you even have enough money to buy anything. When you plan, you have to figure out how much time you may spend on something and make appropriate exceptions. When you work. Whether this is to budget, take a heart rate, plan a space, or make a graph for your boss, you have to be familiar with the equations that will help you with them. And that is not recognizing the professional careers such as architect, engineer, physician, technician, teacher, lawyer, or accountant whose lively hoods depend on being at least decent. Watch the crime show "Numb3rs." Even I didn't realise how much math is in everything until then.
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In life
You could use algebra in real life in nearly anything that you do. You could use algebra to calculate how much gas you will put in your car and how much it will cost you.
The basics come into use quite often, though you might not even realise you are using algebra.
U use algebra in your daily life because you could need it in jobs or careers when you get old enough to have them. Also people like algebra and have jobs like accounting so you have to learn it... ! ...
Most people don't use algebra in their daily lives, mainly because they forget how to use it - except those that work in engineering or science. If you are comfortable with algebra, you COULD use it to solve problems in a variety of real-life situations.