The two separate attacks today followed a particularly bloody day that left more than 70 people dead.
A police officer said the minibus bomb killed five commuters and wounded 25 in Sadr City, a Shiite-majority district in the city's east.
Another police office said a suicide bomber set off his explosives-laden truck after passing a police checkpoint in the town of Tarmiyah to the north of Baghdad, killing a policeman and a civilian.
Nine were wounded.
Two medical officials confirmed the casualties. All spoke on condition of anonymity as they were not authorised to release information.