Practice Simplification in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The process of replacing a complex expression or model with a simpler equivalent that preserves the essential features.
The art of knowing what to throw away. Good simplification keeps the behavior that matters while discarding noise.
Example 1
easySimplify the Boolean expression p \land (p \lor q) using absorption laws.
Example 2
mediumSimplify the algebraic expression \dfrac{x^2 - 9}{x^2 - x - 6} and state any restrictions.
Example 3
easySimplify: \neg(\neg p).
Example 4
mediumSimplify the set expression (A \cup B) \cap (A \cup B') and justify each step.