Question
Question Represent the following sentence as an algebraic expression, where "a number" is the letter x . The quotient of a number and 7 . Answer Attempt 1 out of 2
Ask by Ortega Mitchell. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( \frac{x}{7} \).
Solution
To represent the sentence "The quotient of a number and 7" as an algebraic expression where "a number" is represented by the variable \( x \), follow these steps:
1. **Identify the key terms:**
- **Quotient** implies division.
- **A number** is represented by \( x \).
- **And 7** indicates that 7 is the divisor.
2. **Form the expression:**
- The phrase "the quotient of a number and 7" translates to dividing \( x \) by 7.
So, the algebraic expression is:
\[
\frac{x}{7}
\]
**Answer:**
\(\displaystyle \frac{x}{7}\)
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Simplify this solution Extra Insights
To express "the quotient of a number and 7," you would write it as \( \frac{x}{7} \). This means you're dividing the number \( x \) by 7, which is a foundational concept in algebra and crucial for solving equations involving ratios! When creating algebraic expressions, one common mistake is forgetting to clearly represent operations such as division. Always double-check that the structure accurately reflects the words being used, to avoid any confusion later on when solving problems or simplifying expressions!
