Why do you think variables are useful in Algebra?

Answer 1

They are useful because they give you a way to express a solution in general terms that can be applied to many, many possible situations.

If I tell you that the area of a rectangle is 12, that is an answer that applies only to a very few rectangles.

If I tell you that the area of rectangle is L x W (where L is the variable for length and W is the variable for width), I have given you a tool you can use to compute the area of ANY rectangle.

Answer 2

Variables make algebra what it is. Without variables, you're just doing math.

The Variables in algebra are applied when you don't know what value something has or is, but you want to describe what you DO know in order to better determine the unknown parts of your question, or at least find out what you NEED to know in order to answer your question. Algebra can often tell you that some attribute you think is important may not be as important as you think, too.

Answer 3

bc without variables, everything will be constant, and every algebraic equation will have only one solution... by having variables, the mind of the person can imagine all the possibility... for example, y = mx + b .. if we would substitute all these variables with a number, the solution or the equation will be constricted to just one answer... by having variables, there is a universal truth to the logical necessity that follows withing the relationships of these numbers..... variables are not only usefull in algebra, it is also useful in calculus, differential, linearization, etc... in the end, nothing in this world is the same, they are govern by relationships, and variables fit the bill..

Answer 4

Because it denotes a particular numeral which can be ambiguously related in turn other variables, processes, functions, and rates, which in turn allows the mathematician to find and denote a formula to whcih all exponential variabilities in numerical turns are applicable. The exponential rate is diffrent for an atom in comparison to a planet but variables allow for these exponential numerical differences threby allowing the chemist and physicist to caclulate values for both their diffrent fields for diffrent matter without having to calculate each numerical values separately for every field each time.

Answer 5

Variables are useful in finding the unknown, and are much easier to write, opposed to:
3(unknown number)+4=5-6(unknown number). It's much easier to combine like terms, as well.

Answer 6

Because one of the whole points of algebra is to figure out an unknown (or two, or three...lol)...aka, the variable(s).

Answer 7

They give an easy name for numbers that you do not know. If you are creating a formula, you need to be able to reuse it later on, but if your numbers change you need something to represent it.

For instance, if I want to budget, then I have x dollars and I need to raise 500. I don't know what the x dollars will be in the future.

Answer 8

I have no idea, according to my records I don't recall using varibles for stuff.