Question
Represent the following phrase as an algebraic expression, where "a number" is the letter x . You do not need to simplify. 7 is subtracted from the product of 4 and a number.
Ask by Bowers Boyd. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( 4x - 7 \).
Solution
The phrase "7 is subtracted from the product of 4 and a number" can be translated into an algebraic expression as follows:
1. **Identify the components:**
- **"a number"** is represented by the variable \( x \).
- **"the product of 4 and a number"** translates to \( 4x \).
- **"7 is subtracted from"** means you subtract 7 from the previously mentioned product.
2. **Combine them into an expression:**
\[
4x - 7
\]
**Final Expression:**
\[
4x - 7
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
The phrase can be expressed as \( 4x - 7 \). Here, "the product of 4 and a number" translates to \( 4x \), and when we say "7 is subtracted," we subtract 7 from that product. If you're ever in doubt about translating words to symbols, try breaking the phrase down into smaller parts. Identifying terms like "product," "sum," "subtracted from," or "more than" can help you quickly grasp the underlying math and avoid common pitfalls in translation!
