Those cameras do not support TTL flash so you must use one of the two Auto modes (green or red). These modes rely on the light sensor in the flash. You set the ASA on the flash matching the film, and you set the aperture manually on the lens per the table on the back of the camera - use the F-stop at the green or red mark, as applicable.
Only for 'A' type (and later) cameras can the flash set the aperture.
The shutter speed will automatically be set to the flash sync speed on some cameras, but not all models support this, in which case you must set it manually to 1/60s and/or 'X' as marked on the shutter speed dial.
Hitting the Check button should work as you describe it. So yes, you're on the right track.
Rear panel