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 radical equations
Prompt focus: Solve for x: the square root of (x plus 5) = 4.
Why the correct answer works
x = 11
Squaring both sides gives x plus 5 equals 16, so x equals 11.
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
Square both sides to remove the radical, giving x plus 5 equals 16. Subtracting 5 from both sides yields x equals 11.
Simple analogy
Think of solve radical 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.