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: Solve absolute value equations
Prompt focus: Solve the equation the absolute value of x minus 3 equals 7.
Why the correct answer works
x equals 10 or x equals negative 4
Correct. The two cases give x equals 10 and x equals negative 4.
Why the tempting wrong answer fails
The tempting wrong answer usually loses because it skips the key condition, priority, or evidence in the prompt.
Plain-language takeaway
An absolute value equation produces two cases. Either x minus 3 equals 7, giving x equals 10, or x minus 3 equals negative 7, giving x equals negative 4.
Simple analogy
Think of solve absolute value equations 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.