Question
Write an expression for the verbal phrase The difference between \( x \) and half of \( y \).
Ask by Weaver Fernandez. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression is \( x - \frac{y}{2} \).
Solution
To translate the verbal phrase "The difference between \( x \) and half of \( y \)" into a mathematical expression, we can break it down as follows:
1. **Identify the components**:
- "half of \( y \)" can be expressed as \( \frac{y}{2} \).
- "the difference between \( x \) and half of \( y \)" indicates that we need to subtract half of \( y \) from \( x \).
2. **Construct the expression**:
- The difference is represented by subtraction, so we write the expression as:
\[
x - \frac{y}{2}
\]
Thus, the expression for the verbal phrase is:
\[
x - \frac{y}{2}
\]
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Simplify this solution Bonus Knowledge
To express "the difference between \( x \) and half of \( y \)" mathematically, we can break it down. Half of \( y \) is represented as \( \frac{y}{2} \). Thus, the difference between \( x \) and half of \( y \) can be expressed as \( x - \frac{y}{2} \). This captures the phrase succinctly using algebraic notation! The key here is recognizing the structure of verbal phrases. In math, "difference" usually implies subtraction, and understanding that can make translating words into expressions a breeze—like solving a puzzle! Keep practicing, and you'll become fluent in this language!
