How to add even numbers - PSAT Math

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Question

If x represents an even integer, which of the following expressions represents an odd integer?

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Answer

Pick any even integer (2, 4, 6, etc.) to represent x. The only value that is odd is 3_x_ + 1. Any number multiplied by an even integer will be even. When an even number is added and subtracted to that product, the result will be even as well. 3_x_ + 1 is the only choice that adds an odd number to the product.

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