1. Let's clarify when to use different methods to solve problems, depending on the context. 2. For example, in algebra, methods include substitution, elimination, factoring, and graphing. 3. Use substitution when one variable is easily expressed in terms of the other. 4. Use elimination when adding or subtracting equations can eliminate a variable. 5. Factorization is helpful when dealing with polynomial equations to find roots. 6. Graphing is useful to visualize solutions or when approximate answers are acceptable. 7. In physics, choose methods based on the problem type: equations of motion for kinematics, conservation laws for isolated systems, or calculus for continuous change. 8. Always consider problem constraints and what information is given to choose the most efficient method. 9. Practice different methods on similar problems to gain experience in selecting the best approach.