Question:

Find the algebraic expression to represent the following statement:
\textit{The square of \( x \) multiplied by 3, the result has 18 subtracted from it and the final result divided by 15.}

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Break down word problems into algebraic steps, and then translate each step into mathematical operations.
Updated On: Sep 30, 2025
  • \( \frac{3x^2 - 18}{15} \)
  • \( \frac{(3x^2) - 18}{15} \)
  • \( \frac{3(x^2 - 18)}{15} \)
  • \( \frac{(3x^2 - 18)^2}{15} \)
  • \( \frac{3x^2}{15} - 18 \)
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The Correct Option is A

Solution and Explanation

Step 1: Break down the statement.
We need the algebraic expression for the following steps:
- First, square \( x \), multiply by 3: \( 3x^2 \),
- Then subtract 18: \( 3x^2 - 18 \),
- Finally, divide by 15: \( \frac{3x^2 - 18}{15} \).

Step 2: Conclusion.
Thus, the correct expression is \( \frac{3x^2 - 18}{15} \).
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