# Translate the following phrase into a mathematical expression and then simplify: Nine times a...

## Question:

Translate the following phrase into a mathematical expression and then simplify:

'Nine times a number decreased by six times the same number.'

## Number Word Problems

Number word problems are word problems that use words to express the relationships in the variables of an algebraic problem. Then the relatinships are to be written in algebraic form to solve or simplify.

## Answer and Explanation:

In the description "nine times a number decreased by six times the same number" can be written as an algebraic expression below by letting {eq}x {/eq} be the number:

{eq}9x -6x {/eq}

In simplified form:

{eq}9x -6x = 3x {/eq}

Thus, nine times a number decreased by six times the same number as a mathematical expression is {eq}9x -6x {/eq} and in simplified form is {eq}3x {/eq}.

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from 6th-8th Grade Math: Practice & Review

Chapter 32 / Lesson 8