Which expression is equivalent to " 4 times the sum of 3 and \( x \) "?
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Mind Expander
The expression "4 times the sum of 3 and \( x \)" can be mathematically represented as \( 4 \times (3 + x) \). When you expand that, it becomes \( 4(3) + 4(x) \), which simplifies to \( 12 + 4x \). So, you can think of this as not just a neat math expression, but a way to visualize multiplying a whole group rather than just a single number! When working with expressions like this, a common pitfall is forgetting the order of operations. Ensure that you add first (the sum inside the parentheses) before multiplying. It’s like cooking: you wouldn't toss everything in the pot without checking the recipe first! So, always take it step by step to avoid mix-ups.