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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

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If x is a number from Column X and y is a number from Column Y in the table above, how many different values are possible for x + y?

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First let x equal the first value from Column X, that is, x=1. Then add 1 to each of the three values of y in Column Y as follows: 1 + 4 = 5, 1 +5 = 6, and 1 +6 = 7. Repeat this process for x=2, for which the possible values of x + y are 6, 7, and 8; and repeat it again for x=3, for which the possible values of x + y are 7, 8, and 9. If you compare these nine values, you see that 5, 6, 7, 8, and 9 are the only different possible values of the sums x plus y; therefore, there are five different values possible for x + y.

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