SSAT Math Question 637: Answer and Explanation
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Question: 637
5. For all real numbers d and y, d ? y = (d × y) - (d + y).
[Example: 3 ? 2 = (3 × 2) - (3 + 2) = 6 - 5 = 1]
(2 ? 4) × (3 ? 6) =
- A. (9 ? 3) + 3
- B. (6 ? 4) + 1
- C. (5 ? 3) + 4
- D. (8 ? 4) + 2
Correct Answer: A
Explanation:
You will need to set the equation up based on the function defined, and then use PEMDAS to simplify and solve for the end result. Take this question in bite-sized pieces. Start with the first set of parentheses: (2 ? 4) = (2 × 4) - (2 + 4) = (8) - (6) = 2. Next, work with the second set of parentheses: (3 ? 6) = (3 × 6) - (3 + 6) = (18) - (9) = 9. Put these values back into the original equation: (2 ? 4) × (3 ? 6) = (2) × (9) = 18. Now, test the choices to see which expression yields 18 as well. Try (A): (9 × 3) - (9 + 3) + 3 = (27) - (12) + 3 = 18. Since this matches, stop here. The correct answer is (A). Remember, if you find a question too time consuming, skip it and move on! You can come back to it later if you have time.