We present measurements of inclusive jet production at the Fermilab
Tevatron Collider as measured by the CDF experiment.  The measurement is in
very good agreement with next-to-leading order QCD predictions for jet
transverse energies below 200 GeV.  Above 200 GeV the data is systematically
higher than the QCD predictions.  The two-jet mass and total transverse energy
spectra also show a similar excess above QCD.  We also present results on
prompt photon production.  Recent results suggest the need for additional soft
gluon radiation at low P_t over and above the next-to-leading order
predictions.  This effect is also seen in diphoton events.