📚 View Lesson Summary & Study Guide
Main Learning Objective:
Understand how to set up, cross-multiply, and solve proportional word problems using algebraic equations and properties of equality.
Key Takeaways:
- A proportion consists of two equivalent ratios.
- Word problems can be solved by translating given relationships into a proportional equation with a variable.
- Cross-multiplication creates an equivalent equation that eliminates fractions.
- Decimals in proportional equations can be cleared by multiplying both sides by powers of 10.
- Isolating variables can be accomplished by dividing by the coefficient or multiplying by its reciprocal.