Pure copper is too soft and it has never been useful for most tools.
The widespread use of copper for other purposes than jewelry has begun only after it became possible to produce in a reproducible way various alloys of coppers, now known as bronzes.
The tin bronze, i.e. the alloy of copper with tin, has been discovered relatively late, around 5500 years ago, close to the time when writing has been invented, so we have much more historical information about the civilizations that used tin bronze. (The much cheaper brass has been discovered only long after the method of iron extraction, during the Greco-Roman Antiquity.)
Nevertheless, for several thousands of years before, other copper alloys have been used, e.g. arsenical bronze or antimony bronze, so that is still "bronze age", even if it would be useful to differentiate between the ages of iron, of tin bronze and of other "bronzes". The Egyptian state definitely belongs to the age of the tin bronze.