SSAT Math Question 380: Answer and Explanation
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Question: 380
8. If y is an integer greater than 1, which of the following is greatest?
- A. y + 2
- B. 2y + 2
- C. 2y – 2
- D. y +
Correct Answer: B
Explanation:
B
Begin with choices (A), (B), and (C), as they are easier to compare. Because y > 1, 2y > y, so 2y + 2 > y + 2. Likewise, 2 > –2, so 2y + 2 > 2y – 2. So far, choice (C) is the largest. Now address choice (D). As y > 
and 2y > y, 2y > . Choice (B) is still greatest. Finally, simplify choice (E): 
= 1 + . As y > 1 and y > , y + y (or 2y) > 1 + . Choice (B) is greatest.
Plug in a value for <