The explosions came as Iraqi forces are pushing an offensive against al-Qaeda and allied militants west of the capital.
Police say the deadliest of today's blasts hit an outdoor market in the south of the capital, killing seven people and wounding 13.
A bomb in a nearby commercial street killed two more.
Another two people died and seven were wounded in a southeastern district, while a bomb in a northern suburb killed three and wounded six.
Two separate car bombs near court buildings killed seven people and wounded 22, said police.