Word Problem Solver Calculator Guide
How the Word Problem Solver Works
Word problems translate real-world situations into mathematical equations. The key is to carefully read the problem, identify what you know and what you need to find, then set up equations that represent the relationships described.
Three Key Steps
- Read: Carefully read the entire problem to understand the scenario
- Identify: Find the known values and what you need to solve for
- Solve: Set up equations and solve step by step
Step-by-Step Strategy
- Read Carefully: Read the problem multiple times to fully understand it
- Identify Information: Circle numbers and underline key phrases
- Define Variables: Assign letters to unknown quantities (let x = ...)
- Write Equations: Translate words into mathematical expressions
- Solve: Use algebraic methods to find the answer
- Check: Verify your answer makes sense in the original context
Common Types of Word Problems
Age Problems
Example: Sarah is 3 times as old as Tom. In 5 years, Sarah will be twice as old as Tom. How old are they now?
Tip: Let x = Tom's current age. Then Sarah's age = 3x. Set up equation for 5 years from now.
Distance/Rate/Time Problems
Example: A train travels 240 miles in 4 hours. What is its average speed?
Formula: Distance = Rate × Time (D = RT)
Mixture Problems
Example: How much 20% salt solution must be mixed with 60% salt solution to get 10 liters of 35% solution?
Tip: Track amount of pure substance in each mixture
Work/Rate Problems
Example: Pipe A fills a pool in 6 hours, Pipe B in 4 hours. How long to fill together?
Formula: Combined rate = Rate A + Rate B
Key Translation Phrases
Addition (+)
sum, total, more than, increased by, added to, combined, altogether
Subtraction (−)
difference, less than, decreased by, minus, fewer, reduced by
Multiplication (×)
product, times, of, multiplied by, twice, double, triple
Division (÷)
quotient, divided by, ratio, per, out of, split evenly
Tips for Success
Draw Diagrams
Visual representations help clarify relationships and make problems easier to understand.
Check Units
Make sure all units are consistent (hours vs minutes, meters vs feet) before solving.
Verify Answer
Plug your answer back into the original problem to confirm it makes sense.
Practice Regularly
The more word problems you solve, the better you'll recognize patterns and strategies.