A bomb exploded near a sheep market Saturday morning in the town of Madain, about 20 kilometers (14 miles) southeast of Baghdad, killing four people and wounding 11, police officials said.
A second blast struck near a string of car repair shops in central Baghdad, killing three people and wounding 10. Authorities said another explosion also struck an army patrol in the town of Taji, just north of Baghdad, killing two soldiers and wounding four.
Medics confirmed the casualty figures. All officials spoke on condition of anonymity because they were not authorized to speak to journalists.
Meanwhile, two Kurdish security officers said Saturday that Kurdish Brig Gen Hussein Mansour was killed Friday night by a sniper shot near the oil rich city of Kirkuk during clashes between IS fighters and Kurdish security forces, known as peshmerga.
Iraq is facing its worst crisis since the 2011 withdrawal of US troops. Militants from the Islamic State group now control about a third of the country. They are being resisted by a combined force of Iraqi soldiers, Kurdish peshmerga, and volunteer Shiite militiamen, backed by US-led coalition airstrikes.