How To Use Algebra To Solve Problems

How To Use Algebra To Solve Problems-41
Sometimes, especially as you get more comfortable with algebra, you'll see a problem and know exactly what to do.

Where do you even begin when you're faced with a statement bursting with addition and subtraction, multiplication and division, exponents, radicals, parentheses, and brackets? It specifies the order in which to perform the operations in an expression or equation.

Just like the properties of real numbers apply in both arithmetic and algebra, so does the order operations.

Whether the path to a solution is obvious or not, there's a reliable series of steps that will help take you in the right direction:: Figure out both where you are and where you need to go before you start working.

Look carefully at the problem to be sure you know what the question is. Start thinking about the techniques that could be useful, and the kinds of answers you expect to find.: Use your experience to guide you. Is there anything about the form of an equation or the shape of a graph or the phrasing of a question that seems familiar?

PEMDAS tells us exactly what steps to follow when evaluating expressions.

It's just like giving everyone identical directions to a meeting place—if we all make the same turns in the same order, we should all end up in the same spot.The arrangement of numbers and variables in algebraic expressions works like that too.Some situations allow us to switch values and operations around.You can review your answers and change them by checking the desired letter.Once you have finished, press "finish" and you get a table with your answers and the right answers to compare with. If you can compare formulas or terms or shapes to problems you've solved before, it's a good bet that the strategy you used to solve them last time will help again now.: A big complicated problem is often just several small and simple questions stuck together.See if there are pieces you can pull out to work on separately.Equality, as represented by the equals symbol, tells us that the two sides of an algebraic expression have the same value.Equality has several properties that are useful in solving algebraic equations.These properties apply to all 4 mathematical operations.They let us add to, subtract from, multiply, and divide expressions while still preserving the equality of an equation.

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