There are three main states of matter: solids, liquids, and gases. Solids have a fixed shape and volume, liquids have a fixed volume but take the shape of their container, and gases fill their container evenly. Matter can change between these three states through processes like melting, freezing, evaporation, and condensation. When a solute dissolves in a solvent, it forms a solution, and soluble and insoluble substances can be separated from solutions through methods like filtration, sedimentation, and decantation.