This question-specific review guide is tied to the answer reasoning for a PracticeTestVault item. Use it after you answer the question so the review stays focused on what the prompt actually tested.
What this question is testing
Objective: Mathematics: Algebra
Prompt focus: Solve for x in the equation 3x plus 7 equals 22.
Why the correct answer works
5
Subtracting 7 gives 3x equals 15, and dividing by 3 yields x equals 5.
Why the tempting wrong answer fails
If x were 9, then 3 times 9 plus 7 equals 34, not 22.
Plain-language takeaway
Subtract 7 from both sides to get 3x equals 15. Then divide both sides by 3 to find x equals 5. Substituting back, 3 times 5 plus 7 equals 22, which confirms the solution.
Simple analogy
Think of mathematics: algebra like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.
How to review it before a retake
- Underline the command word and name what the question is asking before rereading the choices.
- Compare the correct answer against the closest distractor and write the exact detail that separates them.
- Retest this objective with a fresh question without looking at the rationale first.