A process for preparing impact-resistant molding compositions by anionic polymerization of vinylaromatic monomers in the presence of a rubber, in a continuous-flow reactor cascade composed of at least two reactors, where the vinylaromatic monomers are fed in substreams to the reactors of the reactor cascade, and an anionic initiator and a rubber are fed at least to the first reactor, and where the reactor cascade is composed of back-mixing reactors.