The visitors elected to bat first but struggled to build momentum from the outset, losing four wickets inside the first six overs.
Reliable batsman Jon Wells (14) did his best to shore up the middle order but was also undone on the final ball of the 10th over as wickets continued to fall regularly.
Another cameo from Rashid Khan (28 from 27 deliveries) lifted Adelaide’s run rate late but the Strikers were dismissed for 110 after 19 overs with Brisbane paceman James Pattinson (5/33) doing the bulk of the damage.
The Strikers had to make an early impact with the ball and did just that, with Michael Neser snaring Heat captain Chris Lynn for a golden duck in the opening over and Rashid bowling Max Bryant (10) five balls later.
But a 77-run partnership between incoming South African AB de Villiers (40) and Matthew Renshaw (52*) steadied the chase for the hosts, who reached the target total in 15.2 overs.
Leg-spinner Liam O’Connor, who took the prized scalp of de Villiers, was Adelaide’s only other wicket-taker in his first game of the tournament.
The Strikers host the Heat back in a return clash at Adelaide Oval on Friday afternoon. Tickets to the match are available now.