One person was killed and five others wounded when an improvised explosive device exploded in the al-Amiriyah area in western Baghdad.
Another went off in the al-Zafaraniyah area in southeastern Baghdad. Two people were killed and nine others wounded.
In a minibus in al-Mahmoudiya area, four people were wounded when the improvised explosive device blew up, a police captain said.
In addition, the bodies of two women were found behind a marketplace in the al-Doura area in southern Baghdad. The women were shot in the head and chest.
Moreover, the Iraqi security forces found bodies of 25 Islamic State militants in a medical center in Nebai in northern Baghdad. The militants were killed in clashes with the Iraqi security forces, according to an Iraqi army source.
The death toll could not be independently verified.
Iraqi troops are fighting against IS, supported by a U.S.-led coalition that has been conducting air strikes against the extremist group for five months.
Iraq has been gripped by a security vacuum since June 2014 when IS stormed the northern province of Mosul and declared what it calls a caliphate in Iraq and Syria.