Separate 1 cup of flour and set it aside
Place the other 2 cups of flour into a large mesh sifter and carefully sift the flour into a small pile on a smooth flat work surface and form a large well in the middle
In a medium bowl, whisk together the 1 whole egg, 6 egg yolks and 1 tablespoon of olive oil until smooth and pour this into the well in the flour
Carefully begin dragging the edges of the flour into the whisked eggs until the flour and eggs are combined
Lightly flour your hands and begin lightly kneading until a dough begins to form
Continue to knead for 6-8 minutes
Once the dough is smooth, elastic and bounces back when poked with a finger, wrap tightly with plastic wrap and rest on the counter for 60 minutes
Unwrap the rested dough and divide into 4-6 equal sections
Begin rolling out one section of the dough (keep the remaining dough covered with plastic so they do not dry out)
Once the dough is thin enough to see your fingers through, gently fold both ends in to meet in the middle and then fold the ends over themselves once more
Using a dough cutter or sharp knife, cut pasta into the thickness you prefer
Gently loosen the pieces, dust with flour and set them aside
Repeat with the remaining sections of pasta
Boil pasta for 2-3 minutes in salted water
Drain and toss in your favorite sauce
Enjoy immediately