An open-air market in Husseiniya, just northeast of the capital, and the Kamaliya area in Baghdad's eastern suburbs were also hit.
Another car bomb exploded near street vendors and a police car in the central commercial district of Karradah.
Police and hospital officials provided the death toll, and said more than 130 people were wounded. They spoke on condition of anonymity because they weren't authorized to brief reporters.
Casualties could have been even higher. Authorities carried out controlled explosions of two other car bombs they discovered in Husseiniya and Habibiya, near Sadr City, according to police.
There was no immediate claim of responsibility for the attacks, but similar ones have been orchestrated by Sunni extremists, such as al-Qaeda's local affiliate.
The group, known as the Islamic State of Iraq, favors large-scale, coordinated attacks. It considers Shiite Muslims to be heretics and accuses them of being too closely aligned with neighboring Shiite powerhouse Iran.
As sectarian strife mounts, protesters drawn overwhelmingly from Iraq's Sunni community have been staging weekly demonstrations and sit-ins since late December to rally against the government, which is led by Shiite Prime Minister Nouri al-Maliki.
The protesters have rejected calls for violence and distance themselves from extremist groups such as al-Qaeda. There are also concerns that Sunni insurgents could step up attacks ahead of provincial elections scheduled for April 20.
The ballot would be the first country-wide vote since the US troop withdrawal more than a year ago.
The United Nations envoy to Iraq, Martin Kobler, quickly condemned the attacks and said "all Iraqi leaders have a responsibility to stand up against these atrocious crimes."
The blasts came a day after a suicide bomber pretending to ask for help assassinated Brig. Gen. Ali Aouni, the head of the Iraq Defense Ministry's intelligence academy, and three of his bodyguards in the northern city of Tal Afar.
Today's attacks brought to more than 100 the number of people killed in violent attacks in Iraq since the start of the month. A total of 178 were killed in January attacks, according to an Associated Press count. (AP) RBL
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