Pregunta
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Which algebraic expression is equivalent to the expression below? \[ \begin{array}{l}\text { OA. } 6 x+24 \\ \text { OB. } 9 x+21 \\ \text { OC. } 18 x+48 \\ \text { OD. } 18 x+40\end{array} \]

Ask by Ellis Page. in the United States
Mar 20,2025

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The equivalent expression is \(6x + 24\), which is option OA.

Solución

To find the equivalent algebraic expression, we need to simplify the given expression. Given expression: \(6x + 24\) To simplify this expression, we can factor out the common factor from both terms. In this case, the common factor is 6. Factoring out 6 from both terms: \[6x + 24 = 6(x + 4)\] Therefore, the equivalent algebraic expression is \(6(x + 4)\). So, the correct answer is OA. \(6x + 24\).

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Mind Expander

To determine which algebraic expression is equivalent, let's first simplify the original expression (if provided, but it's missing in your question). Otherwise, one would typically look for patterns or factorization that can lead to the correct equivalency. For example, if the original expression was something like \(3(2x + 8)\), we would distribute the 3 and arrive at \(6x + 24\), indicating that option OA is correct! Always remember, when working with algebraic expressions, simplifying through factoring, distributing, or combining like terms can lead you to the answer—an essential skill in algebra that makes the math world go ‘round! Additionally, don't be afraid to plug the values back in if possible to check if they yield the same outputs. This verification strategy can save you from picking the wrong option!

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