How To Use Algebra To Solve Problems

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A chart, table, or diagram might spark a fresh understanding of the situation.

When you create a visual representation of a problem, you give yourself a whole new way to look for answers.

is a powerful tool for solving problems and gaining knowledge. As you proceed, don't be surprised or discouraged to encounter ideas and situations that confuse you.

After all, the world is big and complicated, so it's going to take more than simple math to figure it out.

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?

Others require that numbers can only be handled one way or the process will go wrong.

The ability to play with the parts of an equation (or not) are described by mathematical properties.

Maybe you don't know how to find all the variables all at once, but you might be able to figure them out one at a time. Sometimes a verbal description or an equation don't really speak to you.

Once you solve the easy parts, those answers can help you get the rest of the way. A quick sketch or a careful graph can sometimes make relationships clear in a way that words or numbers don't.

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