PSAT Math Multiple-Choice Question 299: Answer and Explanation

Question: 299

Which value of x satisfies the equation above?

• A. -61
• B. -55
• C. -41
• D. -35

Correct Answer: A

Explanation:

A

Difficulty: Easy

Category: Solving Equations

Getting to the Answer: Look for a way to make the algebra manipulations easier (and quicker). Begin by multiplying both sides by 6 to eliminate the fractions. So, 3(3x + 17) = 8x - 10. Then, distribute to get 9x + 51 = 8x - 10. Combining like terms yields 9x - 8x = -10 - 51, and solving for x reveals that x = -61, which is (A).