"Demonstrate" received favorable reviews from critics who generally praised the maturity of the song; some noted its similarities to Kelly Rowland's 2011 single "Motivation".

[2][3] "Demonstrate" made its world premiere online and on US radio on July 17, 2012, and was scheduled for worldwide release to digital outlets on August 28, 2012.

[6] The decision to re-record the singles and albums came from the unavailability of all of JoJo's original music released under Blackground Records from all streaming and digital selling platforms.

[13] JoJo stated the single was recorded and inspired after the praise she got after she released her own version of Drake's "Marvins Room" (Take Care, 2011), titled "Can't Do Better".

JoJo said that she was "a little apprehensive" of releasing the track due to its sexually explicit content, but also noted: "When people responded so well to my version of 'Marvin's Room' I think that it was reassuring to me of the direction I wanted to go in".

"[1] "Demonstrate" received generally positive reviews from music critics, who noted its similarities to Kelly Rowland's 2011 single "Motivation" (Here I Am, 2011).

[14] Katharine St. Asaph of Popdust rated the song four out of five stars, noting JoJo's "Equally unsurprisingly, technically adept, switching between melisma and near-whispers, alto and head voice, with mere seconds between".

[16] Jayvee from The Round Table stated that "Demonstrate" reminds him a lot of that "slinky, R&B vibe from "Are You That Somebody" which was made famous by R&B singer Aaliyah.

"[22] Zara Golden from VH1 praised her for capably moving from "a near-whisper to an almost whistle-register and back without overwhelming the patently patient and self-conscious beat.