PSAT Math Multiple-Choice Question 20: Answer and Explanation

Question: 20

-4(h + 5) = -3(2 - h)+ 14

In the equation above, what is the value of h?

• A. -18
• B. -4
• C.
• D. 18

Correct Answer: B

Explanation:

B

The question asks for the value of h. Isolate h on one side of the equation. Start by distributing the numbers in front of the parentheses to get -4h - 20 = -6 + 3h + 14. Combine like terms on the right side to get -4h - 20 = 3h + 8. Add 4h to both sides to get -20 = 7h + 8. Subtract 8 from both sides to get -28 = 7h. Divide both sides by 7 to get h = -4. The correct answer is (B).