Algebra Solving Problems

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 Identity Property describes numbers that can be added or multiplied to other numbers without changing the values of those numbers.

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 Identity Property describes numbers that can be added or multiplied to other numbers without changing the values of those numbers.

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Maybe you broke up the problem without realizing it, and this answer will lead to other answers and eventually to the right answer.

Did you get stuck partway through because you didn't have enough information?

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.

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.Perhaps you need to go back and make sure you understand the problem. If you keep trying, and vary your approach, you will get it. If you’ve ever played a video game or packed a suitcase for a long trip, you know that the order and placement of objects makes a difference in the outcome.Take a second to step back and look it over with fresh eyes. Some things can be moved around to wherever they are convenient, while others can only go a certain way or they won’t fit.Perform an operation on a number with an identity, and the result is the original number.The Inverse Property involves addition to get to 0 and multiplication to get to 1.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.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.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.