Write each English phrase as an algebraic expression. Then simplify the expression. Let x repres

step 1 We want to write an algebraic expression for the difference of 6 times a number and negative 5 t

Write each English phrase as an algebraic expression. Then...

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Key Concepts

Algebraic Expression Translation

This concept involves converting written verbal descriptions into mathematical expressions using symbols and variables. It requires identifying quantities, operations, and relationships described in words and then representing them with algebraic terms. For example, phrases like '6 times a number' or 'the difference between' are translated into multiplication and subtraction operations involving variables.

Combining Like Terms

Once the verbal description is translated into an algebraic expression, it is often necessary to simplify the expression by combining terms that have the same variable part. This simplification process, known as combining like terms, reduces the expression into a more concise form, making it easier to interpret and work with in further algebraic manipulations.

Operations Involving Negative Numbers

This concept focuses on understanding and manipulating negative numbers in algebraic expressions. When an expression involves multiplying or subtracting negative numbers, it is important to apply the correct arithmetic rules to ensure proper simplification and evaluation, as errors in handling negatives can lead to incorrect results.

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