Rubuta ci gaba ga wannan sakin layi - Bayan da Dodgers suka rubuta shi a 1968, Alexander ya fara wasa a manyan wasannin a 1971 tare da kungiyar. An yi musayar sa, tare da Bob O'Brien, Sergio Robles da Royle Stillman, zuwa Baltimore Orioles don Frank Robinson da Pete Richert a lokacin hutu. Alexander ya ji daɗin nasararsa ta farko tare da Orioles a 1973, lokacin da ya tafi 12<unk>8 tare da 3.86 ERA. An yi musayar Alexander zuwa New York Yankees a matsayin wani ɓangare na yarjejeniyar 'yan wasa goma a tsakiyar kakar 1976 kuma ya tafi 10 zuwa 5 don taimakawa Yankees lashe gasar Amurka ta Gabas. Bai buga wasa ba a lokacin gasar zakarun Amurka
, don haka aka fara shi don fara wasan farko na Wasannin Duniya da Cincinnati Reds, wanda ya rasa. Alexander ya sanya hannu tare da Texas Rangers a matsayin 'yan wasa kyauta a cikin kakar wasa kuma ya ji dadin shekara daya mai kyau kafin ya fadi. Ba zai kasance ba har sai ya sanya hannu tare da Toronto Blue Jays a lokacin kakar 1983, bayan da New York Yankees ya sake shi, zai dawo cikin tsari.