Question
\( \mathbb{K} \quad \begin{array}{l}\text { Write the word phrase below as an algebraic expression, using } \mathrm{b} \text { as the variable. } \\ \text { nine times a number } \\ \text { The translation is }\end{array} \)
Ask by Fleming Colon. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
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 \( 9b \).
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
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!