4. Which set of expressions below are not equivalent? A. \( 8(3 x+7) \) and \( 8(3 x)+8(7) \) B. \( 3(8 x+7) \) and \( 11 x+10 \) C. \( 7(3 x+8) \) and \( 7 \cdot 3 x+7 \cdot 8 \) D. \( 3(7 x+8) \) and \( 21 x+24 \)
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Let's dive into option B! When we distribute \( 3(8x + 7) \), we get \( 24x + 21 \), which is definitely not the same as \( 11x + 10 \). So, these expressions are not equivalent, making option B the odd one out! Now, did you know that understanding equivalence in algebra can lead to diverse real-world applications? For example, when creating budgets or recipes, you often encounter equations that need balancing and verification. Being able to identify equivalent expressions helps ensure accuracy in planning and executing tasks like meal prep or expense tracking. Algebra isn’t just for the classroom; it’s a skill for life!