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Why is algebra important (please read details)?

How, when, where, and why? Pease give as many details as possible, thanks!

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Research shows that algebra helps you think logically, and in a complex way. In another way, it shows that the student can meet and conquer a challenge on their own. Algebra is considered the basis for all maths.

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My Algebra teacher said i you are going to be an engineer then you will need to know the quadratic formula and stuff like that. it just depends on your future career

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Anytime you cook by a recipe but need to make more or less then what the recipe serves, when you adjust it, you will use algebra. Figuring out a sale price you use algebra. It comes into play in real life more than you will ever realize.

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It's not

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My algebra teacher just showed us a comic that was something like, "Someday, we'll understand why we have to learn stuff that is stupid and useless."

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