PSAT Math Multiple-Choice Question 525: Answer and Explanation

Question: 525

If (8m – 3) – (–2m + 6) = 0, what is the value of m?

• A. m = 1.5
• B. m = 0.9
• C. m = 0.5
• D. m = 0.3

Correct Answer: B

Explanation:

B

The question asks for the value of m that satisfies an equation. Since the question asks for a specific value and the answers contain numbers, Plugging In the Answers could work. However, the answers are in decimal form, so it may get confusing without a calculator. Try to simplify the equation instead. Start by distributing the negative sign and combining like terms. The equation becomes 8m – 3 + 2m – 6 = 10m – 9 = 0. Add 9 to both sides of the equation to get 10m = 9, then divide both sides by 10 to get m = = 0.9. The correct answer is (B).