What is the expression equivalent to 4(3 + x)?

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Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions that feature hints and explanations. Equip yourself for success!

Multiple Choice

What is the expression equivalent to 4(3 + x)?

Explanation:
Distribute the number outside the parentheses to each term inside. Multiply 4 by 3 and by x separately: 4 × 3 is 12, and 4 × x is 4x. Put them together to get 12 + 4x. This shows exactly how 4(3 + x) expands. The result is also the same as 4x + 12, just written in a different order. The other forms would miss the 12 or mix up the terms, so they don’t come from distributing 4 across both terms.

Distribute the number outside the parentheses to each term inside. Multiply 4 by 3 and by x separately: 4 × 3 is 12, and 4 × x is 4x. Put them together to get 12 + 4x. This shows exactly how 4(3 + x) expands. The result is also the same as 4x + 12, just written in a different order. The other forms would miss the 12 or mix up the terms, so they don’t come from distributing 4 across both terms.

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