Key Concepts
- Systems of equations can represent real-world situations like:
- Financial problems (pricing, sales, profit)
- Mixture problems (concentration, alloys)
- Speed and distance problems (travel scenarios)
- Voting and polling problems
- Setting up the system correctly is the most crucial step.
Skills Covered
- Translating word problems into algebraic equations.
- Solving systems in real-world contexts.
- Interpreting solutions meaningfully.
Example Problem
A bus travels at 50 mph on the highway and 30 mph on local roads. The total trip was 6 hours and covered 270 miles. How long was the bus on the highway?