PracticeTestVault review illustration for Linear equations on TSI Assessment Mathematics Review: Linear equations

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TSI Assessment Mathematics Review: Linear equations

Review linear equations for this TSI Assessment Mathematics question with the key prompt clue, correct-answer reasoning, distractor checks, and sources to verify next.

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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: Linear equations

Prompt focus: Solve for x in the equation 3x plus 7 equals 22.

Why the correct answer works

5

Correct. Subtracting 7 gives 3x equals 15, and dividing by 3 gives x equals 5.

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

Isolate the variable by reversing the operations. Subtract 7 from both sides to get 3x equals 15, then divide both sides by 3 to get x equals 5.

Simple analogy

Think of linear 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.

Sources to verify next