ACT Math Word Problems: Translate and Solve in 2 Minutes

Word problems require two steps: translating English into math, then solving. Most students skip the translation and jump to solving, which causes errors. Instead, use this method: (1) Read the problem and underline what you're asked to find. (2) Translate each sentence into a math statement. For example, "John has 5 more than twice Sarah's amount" becomes J=2S+5. (3) Translate the question into an equation you need to solve. (4) Solve the equation. (5) Check your answer in the original problem, not the equation. Translating carefully takes 30 seconds but prevents 90% of word problem errors.

Example: "A store marks up a product 25% from cost. The marked price is $50. What is the cost?" Translate: Marked price=cost+25% of cost, or 50=C+0.25C, which becomes 50=1.25C. Solve: C=40. Check: 40+25% of 40=40+10=50. Correct.

Trap 1: Using the wrong variable. The problem asks for cost, but you solve for price. Always check what the question asks. Trap 2: Misunderstanding percentages. "25% off" means price=original-0.25×original, not price=original+0.25. Trap 3: Forgetting units. A problem asks distance in miles, but you calculated in kilometers. Write units after every number. Trap 4: Skipping the check step. You solved correctly but misread the question. Checking in the original problem catches this. Trap 5: Setting up a multi-step problem incorrectly on the first step. If step 1 is wrong, every step after it is wrong, even if you do the math correctly.

Build the habit of checking your setup before you compute. On paper, write out the equation you'll solve and verify it matches the problem statement. This extra 20 seconds prevents costly errors.

Problem 1: "A recipe for 12 servings uses 3 cups of flour. How much flour is needed for 8 servings?" Setup: 3/12=x/8, so x=2 cups. Check: 3 cups for 12 servings means 0.25 cups per serving. 8 servings×0.25=2 cups. Correct. Problem 2: "Train A travels 60 mph and Train B travels 75 mph. They start at the same time from the same station, traveling in opposite directions. How far apart are they after 2 hours?" Setup: Distance=60×2+75×2=120+150=270 miles. Check: Each train's distance makes sense and they're going opposite directions. Problem 3: "A sweater costs $40 after a 20% discount. What was the original price?" Setup: Original-20% of original=40, so 0.8×original=40, original=50. Check: 50-20% of 50=50-10=40. Correct.

Solve these three problems using the translate-and-setup method. Time yourself. Once you complete all three with 100% accuracy, move on to five problems from a practice test.

Word problems appear on every ACT Math test and often in the harder section (questions 40+). They're harder than pure algebra because they add a translation layer, but the actual math is usually simple. Students who master the translate-and-setup method pick up 1-3 points because they stop making careless translation errors and start confidently setting up the problems.

Use this method on every word problem you encounter for the next two weeks. By test day, translating will be automatic and you'll solve word problems faster than you solve pure algebra problems because you're confident in your setup.