The blasts are the latest in a string of sectarian attacks in central Iraq.
The bombs hit nine different areas, six of them Shiite-majority, one confessionally mixed and two Sunni-majority.
The deadliest attacks hit Kadhimiyah, a mainly Shiite area of north Baghdad, where two car bombs killed at least seven people and wounded at least 19.
In Baghdad Jadida, a bomb exploded in a car park, burning vehicles, destroying a fence and shattering the windows of nearby shops and a women's clinic, an AFP journalist reported.
Security forces deployed to the area, closing off streets and using dogs to search for more bombs.
Central Iraq has seen a series of sectarian attacks in recent days.
On Sunday, a suicide bomber attacked mourners at a Shiite mosque south of Baghdad, collapsing the roof and killing 47 people.