Matter can exist in three states - solid, liquid, or gas. Pure substances have a fixed composition while mixtures contain two or more types of matter that can be physically separated. Mixtures can be either homogeneous, with uniform properties throughout, or heterogeneous, having different properties in different areas. Common examples are salt water (homogeneous) and sand and water (heterogeneous). Mixtures can be separated using physical processes like filtration, evaporation, or magnetism depending on the types of materials involved. Compounds differ from mixtures in that they are pure substances whose components combine chemically rather than physically and have different properties from their constituent elements.