Question
Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify. Four times the difference of a number and 5 .
Ask by French Adkins. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( 4(x - 5) \).
Solution
The phrase "Four times the difference of a number and 5" can be translated into an algebraic expression as follows:
1. **Identify "a number":** Let the number be represented by \( x \).
2. **Difference of the number and 5:** This is \( x - 5 \).
3. **Four times that difference:** Multiply the difference by 4, resulting in \( 4(x - 5) \).
**Algebraic Expression:**
\[
4(x - 5)
\]
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Simplify this solution Mind Expander
The expression can be represented as 4(x - 5). This means you're taking the number x, subtracting 5 from it, and then multiplying the entire difference by 4, capturing the essence of the phrase perfectly!
