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\( \mathbb{K} \quad \begin{array}{l}\text { Write the word phrase below as an algebraic expression, using } \mathrm{b} \text { as the variable. } \\ \text { nine times a number } \\ \text { The translation is }\end{array} \)

Ask by Fleming Colon. in the United States
Feb 03,2025

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Answer

The algebraic expression for "nine times a number" is \( 9b \).

Solution

To translate the phrase **"nine times a number"** into an algebraic expression using \( b \) as the variable, follow these steps: 1. **Identify the Variable:** - Let \( b \) represent the **number** in the phrase. 2. **Determine the Operation:** - The phrase "nine times" indicates multiplication by 9. 3. **Construct the Expression:** - Multiply 9 by the variable \( b \). **Algebraic Expression:** \[ 9b \] **Explanation:** - \( 9 \) is the coefficient representing "nine times." - \( b \) is the variable representing the "number." So, **"nine times a number"** is expressed algebraically as \( 9b \).

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The translation is \( 9b \). In this phrase, "nine times a number" indicates that you multiply the number represented by \( b \) by 9. So, the algebraic expression captures the relationship perfectly!

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