We use algebra when comparing the prices of phone networks or cars and working out how long it could take to get to a certain location. Also for how much paint you would need to decorate a certain area and how many plants can be planted onto a certain area. Below is an example of how algebra can be used when seeing the amount of items you could buy for a certain amount of money:
If you go to the grocery store and have ten dollars to spend on five two dollar candy bars. This gives us the equation 2x = 10 where x is the number of candy bars you can buy with ten dollars.
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Most people go their daily lives without thinking of proof - more's the pity!
Most people do not use it in their daily lives.
They are not. I have not only ever used a waterfall for messing about when I was young.
it all depends on your job and how much education you depend on getting in the future. simple algebra is needed all the time, one good example is figuring out which price is a better deal etc., but more complicated algebra is useful in many science, math, business, and engineering jobs