# Evaluating/Simplifying an Expression

• MHB
• kingzero
In summary, an expression is a combination of numbers, variables, and mathematical operations that represents a value. Evaluating an expression involves finding the numerical result when all variables are replaced with specific values, while simplifying an expression involves reducing it to its most basic form. The steps for evaluating an expression include replacing variables with values, using the order of operations, and performing remaining operations. The steps for simplifying an expression include combining like terms, using the distributive property, simplifying exponents, and performing remaining operations. The purpose of evaluating/simplifying an expression is to find its numerical value and make it easier to work with in mathematical problems.
kingzero
Part f. is the only expression I am unsure of what steps to take to get the correct answer.

Would anyone be willing to give me an idea?

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I went ahead and tried it, but I'm still uncertain if I am on the right track.

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Why did you stop at $$\frac{4h}{x+ h- x}$$? You are aware that x+ h- x= h, aren't you?

## What is an expression?

An expression is a combination of numbers, variables, and mathematical operations that can be simplified or evaluated to produce a numerical value.

## What is the difference between simplifying and evaluating an expression?

Simplifying an expression involves combining like terms, using the order of operations, and applying mathematical properties to make the expression more concise. Evaluating an expression involves plugging in specific values for the variables and solving the expression to get a numerical result.

## How do I simplify an expression?

To simplify an expression, start by combining like terms (terms with the same variables and exponents). Then, use the order of operations (PEMDAS) to simplify any remaining terms. Finally, apply any applicable mathematical properties, such as the distributive property, to further simplify the expression.

## How do I evaluate an expression?

To evaluate an expression, substitute the given values for the variables in the expression. Then, use the order of operations (PEMDAS) to solve the expression and get a numerical result.

## What are some common mistakes to avoid when evaluating/simplifying an expression?

Some common mistakes to avoid when evaluating/simplifying an expression include forgetting to apply the order of operations, not distributing correctly, and making errors when combining like terms. It is also important to pay attention to the signs of the terms and use proper notation when writing out the simplified expression.

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