Learn about combinatorial optimization problems and quantum approaches in this comprehensive lecture from the 2024 Qiskit Global Summer School. Explore adiabatic quantum computing principles and discover how to derive the quantum approximate optimization algorithm (QAOA). Gain insights into implementing these algorithms on superconducting qubits through practical examples and hands-on exercises. Part of a two-week intensive program designed for both aspiring quantum researchers and industry professionals, this session focuses on near-term practical applications in quantum computing. Access accompanying laboratory materials and solutions through the provided GitHub repository to reinforce understanding and practical implementation of the concepts covered.