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.

Sometimes, especially as you get more comfortable with algebra, you'll see a problem and know exactly what to do.

Other times, you'll run headfirst into a problem that takes you by surprise, and you'll wonder how to even begin.

The word inverse means to turn inside out or upside down—in mathematics an inverse essentially turns a number around on itself.

A typical algebraic equation includes multiple operations.

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.

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