PSAT Math Grid-Ins Question 65: Answer and Explanation

Question: 65

If , then what does equal?

Correct Answer: 1/3 or .333

Explanation:

1/3 or .333

Difficulty: Medium

Getting to the Answer: Notice that n - 2 is in both the equation and the desired expression, so isolate n - 2 and plug it into the expression. Determine the value of n - 2 by dividing both sides of 3(n - 2) = 6 by 3. Now you know that n - 2 = 2, so plug 2 into the numerator of the desired expression. To find the value of the denominator, add 2 to both sides of the given equation to find that n = 4. Plug 4 into n + 2, which leaves . Grid in 1/3 or .333 and move on to the next question.

Note that you could also solve the equation for n and substitute the result into the desired expression, but this may take a bit more time.