Step by Step
S
Search
Read the problem carefully and identify exactly what's being asked — don't start solving until you know what the question wants.
T
Translate
Convert the words into a math equation, assigning a variable to the unknown quantity.
A
Answer
Solve the equation you just built using standard algebra steps.
R
Review
Check that your answer actually makes sense in the context of the original problem — not just that the math checks out numerically.
Applied Walkthrough
1
A word problem states: "Twice a number, plus 7, equals 25. Find the number." Search: the question wants the value of an unknown number.
2
Translate: let the number be x. "Twice a number plus 7 equals 25" becomes 2x + 7 = 25.
3
Answer: solve for x. 2x = 18, so x = 9.
4
Review: plug 9 back into the original wording — twice 9 is 18, plus 7 is 25. It checks out, and 9 is a sensible answer for "a number."
Exam Application
Exams test whether you can correctly translate word-problem language into an equation (the step most students skip or rush), and whether you remember to review your answer against the original context, not just the math.
⚠ Common Trap
The most common mistake is skipping straight from reading the problem to solving, without carefully translating the words into an equation first. Rushed translation is where most word-problem errors originate — not the algebra itself.
✓ Quick Self-Check
1. What does STAR stand for?
Search, Translate, Answer, Review.
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2. Which STAR step is most commonly skipped, causing errors?
Translate — converting the words into a correct equation.
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3. What should the Review step check, beyond just verifying the math?
That the answer makes sense in the context of the original word problem.
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4. Translate: "twice a number plus 7 equals 25" into an equation.
2x + 7 = 25.
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5. What is the answer to 2x + 7 = 25?
x = 9.
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