A quick check on the overall condition of the motor mounts is simple:
Put the transmision in park (or 1st gear if it's a manual) - do not set the e-brake.
Get out and open the hood
Grab a good solid part of the frame (radiator support e.g.) and rock the entire car back and forth.
Because the wheels are free to move (due to the released e-brake), the energy will be transfered through the axles, then up through the transmission. The inherent play in the axles and trans will allow you to get a little rythm going. Note the relative displacement of the motor. It should not move much in relation to the frame/unibody. New mounts barely allow any slap/play at all.
I find that the upper mount is the most critical and it's demise causes the lowers to fail quickly after. It is easy to change. Do a check to determine whether changing just it alone might tighten everything else up. Jam a piece of wood (or a screwdriver, wedge,...) in the rubber web. This will simulate a new mount and if (after another rock and roll session) the engine doesn't slap around so much as before, you might try renewing just that one.
Or you can skip all this and have a helper rock the car (drive to reverse) while you just lean over the engine compartment. Watch the play and try to look deep in thought - you know- like an expert.
Seriously, things can get a little confusing using the running engine to check mounts. It is usually better to rock the vehicle by hand.
After re-reading the OP, I now realize Toe was asking about the transmision mount. Sorry.