Question
Write the phrase as an algebraic expression. Use \( x \) to represent the unknown number. One-fourth of a number, subtracted from seven The algebraic expression for the given quantity is (Use integers or fractions for any numbers in the expression.)
Ask by Ball Vega. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \(7 - \frac{1}{4}x\).
Solution
The phrase "One-fourth of a number, subtracted from seven" can be translated into an algebraic expression by following these steps:
1. **One-fourth of a number**: This is represented as \(\frac{1}{4}x\).
2. **Subtracted from seven**: This means you take seven and subtract the previously mentioned quantity.
Putting it all together, the algebraic expression is:
\[
7 - \frac{1}{4}x
\]
**Final Answer:**
\(7 - \dfrac{1}{4}\,x\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
Seven minus one-fourth of a number can be represented as \( 7 - \frac{1}{4}x \). This means you take the number \( x \), find one-fourth of it, and then subtract that amount from seven. It’s a straightforward exercise in understanding how to translate verbal phrases into mathematical expressions! As a fun fact, this type of translation from words to math is crucial in fields like finance, science, and engineering. Think of it as creating a language bridge where numbers express ideas described in words—it's a skill that serves you well beyond the classroom!
