Those are not the same as the original question. Yours look a bit like Sheep Sorrel but we do not know your graphical location so it is hard to say what they are. You are likely to get more responses if you start your own post. It would also be useful to see the plant in situ.

Thanks on the ID of the first one. I further IDed it to Cyperus Retrorsus The second Is very hearty. The stem resembles a twig, and it takes quite a bit of force to pull that tap root out of the ground. Could it be some type of wild shrub? Edit: Found this vacant lot with 3 foot tall versions of this stuff... Check the links and pics This post was edited by kb850 on Sat, May 11, 13 at 17:50

The 1st is the dreaded chickweed. An awful weed, prolific and difficult to eliminate. The 2nd is wild violets, a pretty weed in the lawn but it spreads into garden beds and can be difficult to eliminate as well.

Thanks Lisanti and Denninmi! Nice, another nightshade :) I remember seeing the purple flowers one before but this is new. So it is mulberry. Hmm, I don't even remember seeing any mulberry trees around here. If I think of the same tree - short with dark and white berries which kind of resembles elongated raspberries and dark ones leave stains :) I kinda like the fruits. I don't know about the root, this particular one is in the neighbors yard. All these weeds pics are from their yard (not that I am free of them, but theirs are bigger ;)) That's another problem, how to tell them. They are new neighbors and I used to help the previous neighbors with weeding sometimes. Then the left side neighbors have a field of creeping charlies and all those weeds want to get into my yard! :)) Anyway, thanks again, people are very helpful here! I have another weedy ground cover which we are trying to id for years, I go to nurseries every year and look at all their ground covers because that's where my husband bought it, no luck so far. I'll take a pic and try here ;)