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

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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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