Which expression is equivalent to 4(2 + x)?

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Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

Which expression is equivalent to 4(2 + x)?

Explanation:
Distribute the 4 across the sum inside the parentheses. Multiply 4 by each term: 4·2 and 4·x. This gives 8 + 4x. That is the direct result of the distributive property. So the expression that matches this distribution is 8 + 4x. (Note: 4x + 8 would also be equivalent by rearranging terms, but the direct distribution yields 8 + 4x.)

Distribute the 4 across the sum inside the parentheses. Multiply 4 by each term: 4·2 and 4·x. This gives 8 + 4x. That is the direct result of the distributive property.

So the expression that matches this distribution is 8 + 4x. (Note: 4x + 8 would also be equivalent by rearranging terms, but the direct distribution yields 8 + 4x.)

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