PSAT Math Multiple-Choice Question 115: Answer and Explanation

Question: 115

Which of the following expressions is equivalent to 2(x - 5) + 3?

• A. 2x - 7
• B. 2x - 2
• C. 5x - 2
• D. 10x + 3

Correct Answer: A

Explanation:

A

The question asks for an equivalent form of the provided expression. Although there are variables in the answer choices, plugging in on this question would be less efficient than simplifying. The expression is not too complicated, though, so simplifying is likely a more efficient approach. Distribute the 2 in front of the parentheses to get 2x - 10 + 3. Combine like terms to get 3x - 7. The correct answer is (A).