"I'm That Chick" is a song Carey wrote alongside Norwegian duo, Stargate. It is a fast-paced song, which features a "care-free feel", and is influenced by soul, pop and disco music genres. The song incorporates a sample from Michael Jackson's "Off the Wall", and features a strong thumping bass-line and hand claps. Evan Sawdey of "PopMatters" described it as a "late-night disco-bass groove", and highlighted its production as the album's finest. "I'll Be Lovin' U Long Time", the album's eventual third single, was written and produced by Carey and DJ Toomp. The song was described as a "mid-tempo", "party jam", that is influenced by pop, R&B and soul genres. Critics elaborated on the song's "soul" influence, with Melissa Ruggieri from "The News & Advance" describing it as a "soul-thumper", while "Digital Spy"s Nick Levine called it a "nod towards classic soul". The song's title is derived from the popular line, "me love you long time", from the 1987 war film, "Full Metal Jacket". Additionally, its hook and instrumentation is derived from sampling Mark DeBarge's Stay With Me. Critics also noted how "I'll Be Lovin' U Long Time" "recalls" the melody riff and chord progression of the "Hill Street Blues"s theme song. The song's main source of production comes from its "lush keyboard work", and her usage of the "double voice", which she uses throughout the song's bridge. Carey described the effect as "layering her voice", so that the bridge would sound like a "swooning bank of a hundred Mariahs".