Blackpool may have edged the first half but Man City improved after the break when all the goals were scored and despite the narrow scoreline the visitor’s did hit the woodwork three times in the second half.
Tevez opened the scoring for City from what seemed an offside position but Marlon Harewood restored parity for the hosts with a fine glancing header.
But Blackpool’s joy was short lived and within a minute City had regained the lead.
Again it was the Argentinean with a deflected shot who did the damage although this time he appeared to foul Ian Evatt in the build up.
There was no doubt about the visitor’s third, a superb sole affair from David Silva.
Gary Taylor-Fletcher then struck a late consolation deep into injury time.
Blackpool scorers: Harewood 78, Taylor-Fletcher 90+3
Man City scorers: Tevez 67, Tevez 79, Silva 90
Referee: Phil Dowd
Venue: Bloomfield Road
05 Eardley (Phillips 76)
14 Grandin (Harewood 66)
17 Boateng (Richards 76)
11 A Johnson (Vieira 85)
34 De Jong
09 Adebayor (Silva 65 (yellow card)
32 Tevez (yellow card)
14 Santa Cruz