Uzoh, who began the season with Cleveland and was playing in only his 18th game of the campaign, had 12 points, 12 assists and 11 rebounds.
Toronto snapped a four-game losing streak and managed to finish a game in front of New Jersey in the fight to stay out of last place in the Atlantic Division. The Nets, who will be moving to Brooklyn next season, ended the year with five consecutive losses.
Ed Davis had 24 points along with 12 rebounds for the Raptors, who missed the playoffs for the fourth straight season.
New Jersey got 11 points each from Armon Johnson and Anthony Morrow. The Nets have not been in the post-season since 2007.