A suicide car bomber struck a local market Tuesday near Falluja, killing 15 people and wounding 13, the U.S. military said.
The attack happened in Ameriya, south of Falluja in Anbar province west of the Iraqi capital, the military said.
In Baghdad, Iraqi police shot a female suicide bomber in the Sadr City neighborhood, causing the woman's explosives to detonate, killing her and injuring three policemen, an Interior Ministry official said.
The bomber was attempting to target a police recruitment center in Sadr City, a sprawling Shiite neighborhood.
In central Baghdad, gunmen traveling in two vehicles opened fire on a car, immediately killing the driver, the official said.
The vehicles were traveling on a bridge in the Alawi area. After the attack, the car was set on fire, but residents were able to pull the driver's body from the car before it was engulfed in flames, the official said.
The victim's identity has not been established.
South of Baghdad in Babil province, gunmen killed the head of the local office of radical Shiite cleric Muqtada al-Sadr's political movement.
According to Hilla police, Abdul Raheem Mohammed Nayef was gunned down Tuesday morning in Jbela, about 40 miles (65 kilometers) south of Baghdad.
Elsewhere in Jbela, Iraqi police found five bullet-riddled bodies.
Separately, four Iraqi police were wounded when a roadside bomb exploded near their patrol in Iskandariya on Tuesday morning, about 25 miles (40 kilometers) south of Baghdad.