AFAIK Freesync for gaming doesn't work with the HD7000 and previous generation cards either. I believe you need an R9-200 or later series.
Also, to get LFC (Low Framerate Compensation) to avoid issues below the low-end (i.e. 30 or 40FPS depending) such as screen tear or stuttering the max/min ratio for the Hz range needs to be 2.5x or higher.
https://www.amd.com/en/products/freesync-monitors
Such as 30Hz to 75Hz (in which case 29FPS becomes "58FPS" by resending each frame rather than kicking you out of Freesync until you go above 30FPS again in the case of 30Hz to 60Hz range with no LFC).
THIS MONITOR-> AOC G2460VQ6
If your monitor has a narrow Freesync range of 48Hz to 75Hz so no LFC... in that case I would strongly recommend tweaking some games by setting an FPS cap of say 60 to 70FPS then tweaking the game settings so you rarely drop below 48FPS... that would then mostly keep you in Freesync range without going ABOVE or BELOW (if VSYNC OFF is the default that just causes screen tearing).
If I was playing say SKYRIM then I'd definitely do it that way. Possibly not for a fast shooter where perhaps you want 100FPS+ even though you'd be getting screen tearing. It's all a trade-off between responsiveness and visuals.
Sorry if that's confusing