We apply two methods to predict integral and differential elastic and absorption cross sections for electron-neon scattering at 150-700 eV: a matrix-effective-potential (MEP) formalism and an optical-potential formalism. For the optical potential we use the absorption potential that Green, Rio, and Ueda adjusted to give accurate absorption cross sections, and we show that the real part of the potential can be chosen so that the calculated elastic-scattering cross sections also agree with experiment. The MEP model, with no parameters adjusted to experiment, is even more successful. The agreement with available experimental elastic differential cross sections is better than 10% in many cases and is about 40% at worst; agreement with experimental total inelastic cross sections averages 3% at four energies. An interesting conclusion from the optical-potential calculations is that when the absorption potential is included in the optical potential, accurate elastic cross sections can be calculated even at high energy by using an adiabatic polarization potential.