Solving Word Problems Using Equations
Transform real-world situations into mathematical equations and find precise solutions!
🎯 Why Use Equations?
- Systematic Approach: Provides a clear, step-by-step method to solve any word problem
- Translation: Converts words into precise mathematical language
- Precision: Finds exact unknown quantities, not just estimates
- Versatility: Works for simple and complex problems alike
📋 The 7-Step Procedure
- Read the problem carefully, identify the unknown
- Denote the unknown by a variable (let x = ...)
- Express other quantities through x
- Write an equation based on the condition
- Solve the equation
- Check the answer in the context of the problem
- Write the answer with proper units
🔤 Key Translation Phrases
| Words | Symbol |
|---|---|
| is, equals, is equal to | = |
| more than, increased by | + |
| less than, decreased by | − |
| Words | Symbol |
|---|---|
| times, multiplied by, of | × |
| divided by, ratio | ÷ |
| twice | 2x |
| Words | Symbol |
|---|---|
| half of | x/2 |
| a number | x |
| the sum of | a + b |