PSAT Math Multiple-Choice Question 324: Answer and Explanation

Question: 324

What is the value of h in the equation above?

• A. -5.5
• B. 5.5
• C. There is no value of h for which the equation is true.
• D. There are infinitely many values of h for which the equation is true.

Correct Answer: C

Explanation:

C

Difficulty: Medium

Category: Solving Equations

Getting to the Answer: Look for a way to make the math easier, such as clearing the fractions first. To do this, multiply both sides of the equation by 6, then solve for h using inverse operations:

Because the variable terms in the equation cancel out, and 15 does not equal 48, the equation has no solution. In other words, there is no value of h that satisfies the equation, so (C) is correct.