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ATI TEAS 7 Math Review: Solve linear equations in one variable

Review solve linear equations in one variable for this ATI TEAS 7 Math 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: Solve linear equations in one variable

Prompt focus: Solve for x in the equation 3x + 7 = 22.

Why the correct answer works

x equals 5

Correct. Subtracting 7 from both sides gives 3x equal to 15, and dividing by 3 gives x equal to 5.

Why the tempting wrong answer fails

Incorrect. Substituting 6 gives 25, not 22.

Plain-language takeaway

To solve a linear equation, isolate the variable by performing inverse operations on both sides of the equation.

Simple analogy

Think of solve linear equations in one variable 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