Path tracing is a specific technique where you ray trace multiple bounces to compute lighting.
In recent games, "ray tracing" often means just using ray tracing for direct light shadows instead of shadow maps, raytraced ambient occlusion instead of screenspace AO, or raytraced 1-bounce of specular indirect lighting instead of screenspace reflections. "Path traced" often means raytraced direct lighting + 1-bounce of indirect lighting + a radiance cache to approximate multiple bounces. No game does _actual_ path tracing because it's prohibitively expensive.
The other significant part is that path tracing is independent of the number of light sources, which isn't the case for some of the classical ray traced effects you mention ("direct shadows" vs path traced direct lighting).
That's at least what I understand of the matter.