PSAT Math Multiple-Choice Question 501: Answer and Explanation

Question: 501

In the equation F = 5(g + 2) – 3, which of the following gives the value of g in terms of F?

• A.
• B.
• C.
• D.

Correct Answer: D

Explanation:

D

The question asks for the value of g in terms of F. There is a variable in the answer choices, so plug in. Make g = 2. The equation becomes F = 5(2 + 2) – 3 = 5(4) – 3 = 20 – 3 = 17. The question asks for the equation to be solved for g, so the target value is 2. Now plug F = 17 into the answer choices to see which equation makes g = 2. Choice (A) becomes . This does not match the target, so eliminate (A). Choice (B) becomes . Eliminate (B). Choice (C) becomes . Eliminate (C). Choice (D) becomes . This matches the target value of 2. The correct answer is (D).