The long-range prediction (LRP) algorithm was investigated by Duel-Hallen such that we can predict future channel state information for more than ten milliseconds ahead. However, its adaptive implementations to avoid the matrix inversion have not been investigated in detail. This paper presents the performance comparison among the various adaptive prediction algorithms for the LRP purpose. The adaptive QAM transmission schemes with utilizing the algorithms are thus proposed for the use in the FDD-based adaptive transmission under the scenario of flat Rayleigh fading channels. The scheme is also built with the pilot symbol assist modulation and the speed zone detection techniques. The adaptive modulation schemes by utilizing the speed zone detection lead in performance improvement in the selection of the optimal prediction order under the different mobile speeds. The efficacies of the schemes are presented through the simulation study.