Using "mal" or "malade" for the English term "unwell"

Question

The correct answer was "Je me sens mal"  for "I feel unwell".  The discussion points to "mal" and "malade" for unwell.  I think both should be correct answers.  I chose incorrectly.

Answer

Bonjour William,  Perhaps this will help some. it shows another way of looking at the difference between mauvais and mal.
 	                Mauvais	                Mal	                                                                           
adjective	bad (with noun)	bad (with copular verb)
adverb	        bad                         badly	 
noun	        bad part	evil(s)	 
Let's take a look at this sentence:
C' est un mode de traitement souvent mal supporté , du fait de la toxicité des médicaments anticancéreux pour les tissus sains.
Salomon, Jean-Claude Le tissu déchiré. Propos sur la diversité des cancers
Mal in this sentence is an adverbe translated as badley supported.

Malade on the other hand, is used either as an adjective or as a noun.

Now looking at the lesson, - se sentir bien / mal / mieux ... (emotional)
(literally to feel oneself)  It means to feel good / well / fine / bad / better.
In this case, bien, mal and mieux are used as adverbes.
I hope this helps,
Ron