Solutions are homogeneous mixtures classified into solid, liquid, and gaseous types, with various concentration measures such as mole fraction, molarity, and molality. Key principles governing these solutions include Henry's law for gas solubility and Raoult's law for the vapor pressure of solvents. Colligative properties, which depend on the number of solute particles, play a crucial role in understanding behaviors like boiling point elevation and freezing point depression.