Which expression is equivalent to 2(x + 9)?

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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 2(x + 9)?

Explanation:
Distribute the 2 across the sum inside the parentheses: multiply 2 by x and by 9. That gives 2x + 18. So the equivalent expression is 2x + 18. You can test with a value, say x = 3: 2(3 + 9) = 2·12 = 24, and 2x + 18 = 2·3 + 18 = 6 + 18 = 24, which matches. The other forms don’t fit because x + 18 misses the 2x part, 2x + 9 misses doubling the 9, and 4x + 18 would double the x twice, not just once.

Distribute the 2 across the sum inside the parentheses: multiply 2 by x and by 9. That gives 2x + 18. So the equivalent expression is 2x + 18. You can test with a value, say x = 3: 2(3 + 9) = 2·12 = 24, and 2x + 18 = 2·3 + 18 = 6 + 18 = 24, which matches. The other forms don’t fit because x + 18 misses the 2x part, 2x + 9 misses doubling the 9, and 4x + 18 would double the x twice, not just once.

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