These take a little bit of time, but are not difficult. If you have a pasta machine it's faster and easier (and the noodles come out prettier) but you can do it just rolled out on the counter as well.
makes enough for 3-4 people in a pasta dish, or 4-6 in soup
1 cup flour
1 beaten egg
a little water
Put the flour in a bowl, add the egg, and mix. The egg won't be quite enough liquid to make a dough, so add water about 1-2tsp at a time until dough all sticks together. (I usually need about 2-3Tbs of water, but it varies by the size of the egg, and whether I use wheat or white flour or a combination.)
The noodles will be pretty sticky, so use plenty of flour when you roll them out. The noodles will get bigger when cooking, so cut them thin and small.