Solving Word Problems Using Equations
Why This Matters
Word problems are where algebra meets the real world. The ability to translate everyday situations into mathematical equations is one of the most powerful skills you'll ever learn. Engineers, scientists, economists, and programmers all use this skill daily.
The 5-Step Strategy for Solving Word Problems
- READ & UNDERSTAND — Read the problem carefully. What is being asked? What information is given? Identify the unknown quantity.
- DEFINE VARIABLES — Assign a variable (like $x$) to represent the unknown. Write down what the variable represents with units.
- SET UP THE EQUATION — Translate the English words into a mathematical equation using key phrases.
- SOLVE THE EQUATION — Use algebraic techniques (inverse operations, combining like terms, etc.) to find the value of the variable.
- CHECK & INTERPRET — Substitute your answer back into the original problem. Does it make sense? Write your answer as a complete sentence.