I think you are misunderstanding the concept of the Seven Kingdoms...Maybe because they don't normally belong to the seven kingdoms. Wouldn't it be "Eight Kingdoms" if they were part of it?
The Seven Kingdoms is the seven independent Kingdoms at the time of Aegon's Conquest: The North, The Iron Isles, The Vale, The Rock, The Reach and Dorne. The Riverlands is not counted as one of the Seven Kingdoms.