The game's goals were scored by Riyad Mahrez (13', 82') for Algeria, while those of Zimbabwe were scored by Mahachi (17') and Mushekwi (29' on penalty).
The Warriors would lead at half-time after Nyasha Mushekwi converted a 29th-minute penalty. Leicester City's Mahrez had two of those goals for Algeria, while Liverpool's Mane struck Senegal's victor from the penalty spot.
The crowd were barely given time to blink before Algeria raced into attack and Mahrez broke Zimbabwe hearts by firing in from the edge of the area with an effort that Mukuruva allowed to squirm under him to avoid a repeat of Algeria's defeat to the Warriors at the 2004 edition of the tournament.
The match provides chance to see the first win of the tournament as both games in group A ended in a 1-1 stalemate.
Algeria hit the bar twice before Mahrez levelled with a speculative 25-yard shot that Zimbabwe goalkeeper Tatenda Mukuruva should have saved.
The 2016 CAF Footballer of the Year Mahrez and his Algerian team-mates were contained by the Zimbabweans until the match referee blew the half-time whistle.
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The total gain without motor vehicles and parts was only 0.2 percent for the month, though 3.4 percent for the year. Wholesale prices excluding food and energy rose 0.2 percent from the previous month following a 0.4 percent rise.
Zimbabwe almost added a third goal 10 minutes into the second half, but Mbolhi produced a stunning save to keep out Billiat's effort.
Algeria then stepped up the pressure and Ramy Bensebaini headed against the bar and Elisha Muroiwa struck the frame of his own goal as he attempted to clear a Faouzi Ghoulam cross.
Senegal claimed the first victory of Gabon 2017 by scoring two first-half goals against Tunisia.
Reigning champions Ivory Coast will open their 2017 account against Togo on Monday, before DR Congo and Morocco clash in the second Group C clash.
- They have also won only one of their last nine opening matches at the AFCON (D3 L5), against South Africa in 2015.
"In recent days people have talked about us more in terms of the bonuses and strikes, but now we need to concentrate more on the football".