The extreme tunability and control that atomic physics provides makes quantum gases near ideal platforms for experimentally realizing novel synthetic materials beyond what is traditionally realizable in condensed matter experiments. In particular, the ability to control interparticle interactions allows for the realization of long lived nonequilibrium states, and strong periodic modulation of lattice potentials realizes novel Floquet matter. In this talk, I present results from three experiments studying the dynamics of ultracold lithium in modulated and static one-dimensional optical lattices with tunable interactions. The first realizes and characterizes position-space Bloch oscillations which have not been previously observed. The second experiment demonstrates transport control in a Floquet hybridized optical lattice Bloch bands, and the third experiment investigates prethermalization in strongly modulated lattices with tunable interactions.