How do variables you model real world situations? how can you use the properties of real numbers to simplify algebraic expressions?

Variables help in real world situations like saving and budgeting. for example, if you wanted to remodel an empty room into a home theater and make $1,200 a month and $950 goes into expenses then how many months would it take you to save up $3,000 for the remodel? The months would be the variable in this situation and an equation would look something like this. 250x=3000 then you would solve for x. the way you use properties of real numbers in algebraic expressions is how you would use things like the distributive property like x(1+1)=2x because x+x = 2x.