Is chronic nose bleed, slurred speech, frequent headaches a sign of brain tumor?

Very Concerning!: When people have slurred speach it is always very important to have that evaluated right away. It becomes more worrisome when there is a headache involved. It sounds like a person with those symptoms should see their primary care md without delay! if the symptoms are sudden in onset, then that demands an er visit urgently.

Concerning: The symptoms you are describing are concerning, but do not necessarily mean brain tumor. Please seek medical attention asap.