To tell you the truth, they always ask that medicine be in its orignal packaging. I can tell you that unless you have a ziplock full of pills (Karen Walker style on Will & Grace

) then you are fine. My father in law works for the TSA as a baggage/x ray screener and he said they don't care about that stuff (unless there is something obviously going on) They are looking for weapons & combustables. It is when you travel out of the country through customs that you need to be diligent about that.
I used to work in pharmacy and would rather have whatever I need with me. I pack everything from ibuprofen, tylenol, immodium, tums, ace bandage, bandaids, neosporin, moleskin, stuff for nausea, something incase someone gets a UTI, Benadryl, Sudafed, hmm I know there are more.. painkillers (one time I sprained my ankle in Disney on Crusher Gusher).. Needed the ibuprofen & painkillers for that! I'm like a walking pharmacy.. Okay maybe I would look like Karen Walker

but they are all in containers!