One serious math question. One clear solution path.
Solve a weekly SAT Math, GAT / Qudurat, or AP Calculus AB challenge. Then study the solution, the common trap, and what the question reveals about your current prep.
Parameter in a Linear Equation
The equation kx - 5 = 3x + 7 has solution x = 4. What is the value of k?
Need a hint?
Substitute x = 4 into the equation, then solve for k.
Correct answer
B. 6
Solution
Substitute x = 4:
4k - 5 = 3(4) + 7
4k - 5 = 12 + 7
4k - 5 = 19
4k = 24
k = 6
Detailed solution
The question gives the solution, so use it directly. Substitute 4 for x, then solve the remaining equation for k.
Common mistake
A common mistake is trying to solve for x even though the value of x is already given.
Trap logic
The trap is solving the equation in the wrong direction.
What this reveals
If this felt confusing, the issue may be interpreting parameter questions quickly.
StudyGlitch notes
GAT parameter questions test whether you understand what a solution means.
When a problem says “has solution,” substitute that value into the equation.
Use x = 4 immediately.
This week’s question is more than a score.
A wrong answer usually points to a pattern: slow recognition, a trap choice, weak setup, or pressure under time. Use this challenge as a signal, then connect it to your diagnostic, practice history, and weekly StudyGlitch progress.