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Given a long algebraic expression, what are some strategies that you can use to make simplifying and evaluating the expression more efficient and accurate?

How do inverse operations help solve algebraic equations? Give a real-world scenario where this might be modeled.

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Answer:

See below.

Step-by-step explanation:

To simplify a long algebraic expression, you could use many methods. My personal choice is to use distribution in order to follow PEMDAS and eliminate any parenthesis within my equation. I also like to combine like terms to shorten the equation as much as possible.

Inverse operations are extremely helpful in isolating variables and simplifying equations. They can be used in many scenarios from finding the length of an object with only a formula and one side (ex. a triangle with only b and A given) to having distance and speed to figure out the time it will take to get to your destination.

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