At least five separate explosions hit targets across the city including Yarmouk hospital in western Baghdad, where four people died.
Other bombs were detonated near shops in Waziriyah in the north of the city, a car park in Mashtal in the east, and a storage depot for buses and taxis in southern Baghdad.
The AFP news agency also reported an explosion in a residential area of Mahmudiyah, south of Baghdad.
On Monday, seven people were killed and 31 wounded in a car bombing in Baghdad's western neighborhood of Bayaa.
There has been a decline in bomb attacks in the Iraqi capital since 2014, when the Islamic State in Iraq and the Levant (ISIL) terrorist group seized large swaths of territory in the country's mainly Sunni western, northern, and eastern provinces.
The ISIL advance has since stagnated and the group has lost territory due to ground offensives by the Iraqi army and volunteer groups.
Pentagon officials said on Tuesday that the group had lost up to 30 percent of populated areas it once held in Iraq.