SAT Math Multiple Choice Practice Question 142: Answer and Explanation

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Question: 142

10. Let x~y be defined as . For what value of x does x~3 = x?

A. 0
B. 1
C. 2
D. 3
E. 4

Correct Answer: D


D. Substituting 3 for y gives you . You want this equation to equal x, so . Multiplying both sides by 2 gives you x + 3 = 2x, and subtracting x from each side gives you x = 3. As always, if you aren't in the mood to do algebra, you can find this answer by plugging in answer choices until you find one that works.

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