Question
Represent the following phrase as an algebraic expression, where "a number" is the letter \( x \). You do not need to simplify. The product of 7 and the square of a number. Answer Attempt 1 out of 2 Submit Answer
Ask by Wade Schmidt. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( 7x^2 \).
Solution
The algebraic expression for "the product of 7 and the square of a number" (where the number is represented by \( x \)) is:
\[
7x^2
\]
**Explanation:**
- **Square of a number:** \( x^2 \)
- **Product of 7 and the square of a number:** \( 7 \times x^2 \), which simplifies to \( 7x^2 \)
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Simplify this solution Extra Insights
To represent the phrase "the product of 7 and the square of a number," you would express it algebraically as \( 7x^2 \). This means that you take the number \( x \), square it (which is \( x^2 \)), and then multiply that square by 7. It's a straightforward representation of the mathematical relationship described! When you encounter phrases in math, breaking them down step by step can help simplify the translation process. For example, identifying key terms like "product" (indicating multiplication) and "square" (indicating raising to the power of 2) can guide you in forming the correct expression!
