The basic thing is that symbols that represent numbers can be manipulated in the same way as ordinary numbers.
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In reality you need to know your basics before you can actually start on algebra and yes algebra can help you in basic math when in comes to solving certain word problems
Addition, subtraction, multiplication, and division, basic algebra, geometry, trigonometry.
In many ways such as how much fuel do I need to carry to fly 300 miles. One of the most important things for a pilot to know is how much weight he has on the airplane and, since fuel is figured in weight instead of gallons on a airplane, he probably better know basic algebra and general mathmatics.
you need to know the pythag theorem , order of operstions combining like terms
Basic math concepts which you learn in algebra are the foundation for chemistry related problems. Order of operations, exponents, and graphing skills are all things which are absolutely necessary in more advanced science classes.