Originally Posted by sibhusky
By standing on the down hill ski, the uphill ski doesn't need to be flat. Move it a bit more up hill if needed to be able to tilt your leg to the needed angle. If that loose ski is below you, you can't do that without falling. Uphill, no problem.
What she said. You need to be on that downhill ski, with it facing across the hill, edged on its uphill edge. With two poles in your hands, you'll have three points of contact with the snow and you won't tip over. The uphill ski, not on you, will be flat on the snow, stuck there (hopefully) by the brakes, and you just place your uphill foot in and click. Then bring it down to match the edged ski and you're done. If the snow is impenetrable, as in ICE, and that empty ski won't stay put, see below.
Now if you find yourself standing there on your uphill ski, you need to turn around before you put the other ski on. You'll never get your foot into that binding with it lower than your stance ski. Do not attempt to walk around on that steep slope to accomplish this turn-around! Just say no to that thought. Lie down on your back, head uphill and feet downhill. LIft feet way up in the air, that attached ski along with them, and flip that ski to point in the other direction. Stand back up and you'll be on the downhill ski.
If the slope is too icy for you to lie down on it and not slide to the bottom, or too icy for the unattached ski to stay put while you try to put your boot into the binding (been there, done that), oh well. Ski slowly over to the side your ski is pointing at, where the bumps are, or the trees, or the cliff with its thin bit of soft snow, lie down and turn around there. Then you're set.
Skiing into the bumps worked for you. There's always some way to save the day.