How to Solve Word Problems: A 5-Step Method
Word problems are where students lose the most points — not because the math is hard, but because the translation from English to algebra is rushed. A consistent 5-step method fixes it.
Quick answer
1. Identify what’s given. 2. Label the unknown. 3. Write the equation. 4. Solve. 5. Check that the answer makes sense in context.
Step 1 — Identify what’s given
Read the problem twice. Underline numbers and key relationships. Write them down: “given: car travels 60 mph, 2.5 hours.”
Step 2 — Label the unknown
“Let d = distance the car travels.” A single letter for the thing you’re looking for. This is where most students skip ahead and then get lost.
Step 3 — Write the equation
Translate the relationship into algebra. “Distance equals rate times time” → d = 60 × 2.5.
Step 4 — Solve
Do the algebra. d = 150 miles.
Step 5 — Check that it makes sense
Could a car travel 150 miles in 2.5 hours at 60 mph? Yes. If you got 1500 or 15, you know something’s off. Sanity-check every answer.
Common mistakes
- Diving into algebra without writing what’s given.
- Using the wrong variable for what you’re looking for.
- Forgetting units (miles vs. minutes).
- Not checking the answer in context.