Add flour, stirring constantly, until the mixture becomes puffy.
Add water, bouillon powder, onions, potatoes and carrots.
Bring to a boil, stirring occasionally.
Reduce heat and simmer until potatoes are almost done (about 5 to 6 minutes).
Add broccoli and return to boil.
Simmer for another minute.
Makes 3 large servings (which with a chunk of French bread or the like would make a hearty meal, quantity-wise. )
VARIATIONS: For thinner soup, use less flour.
For vegetables with a more delicate flavor, use less bouillon powder.
If using sliced mushrooms, asparagus and frozen or fresh green peas as vegetables, use slightly less flour, slightly less bouillon powder, and a dash of sugar.
(Start with the asparagus, adding peas and mushrooms when asparagus is almost done.
No onion in that one, BTW, it would overwhelm the other flavors. )
If all you've got is potatoes and onions, add quarter teaspoon caraway seeds early on (when you reduce to simmering).