PSAT Math Multiple-Choice Question 337: Answer and Explanation

Question: 337

If -8c - 3b = 11 and 6b + 6c = 4, what is the value of 3b - 2c ?

• A. -27
• B. -3
• C. 8
• D. 15

Correct Answer: D

Explanation:

D

Difficulty: Easy

Getting to the Answer: If you're not asked to find the value of an individual variable, the question may lend itself to combination. This question asks for 3b - 2c, so don't waste your time finding the variables individually if you can avoid it. After rearranging the equations so that variables and constants are aligned, you can add the equations together:

This matches (D).