Digital PSAT Math Practice Question 8: Answer and Explanation

Question: 8

For the equation 3 + 4x - 2 = k + 6x - 2x, what does the constant k need to equal in order for there to be multiple solutions for x?

• A. 1
• B. 2
• C. 3
• D. 4

Correct Answer: A

Explanation:

(A) Before proceeding too far, simplify the equation by grouping like terms:

So if k = 1, both sides of the equations are equivalent to one another. The equation reduces to x = x, which has an infinite number of solutions.