Toss lettuce, carrot, onion and dressing. Set aside.
Spread a tortilla with 1/4 cup dip. Arrange 1/6 of lettuce mixture in a line across the tortilla, stopping about 2-inches short of one edge. Top with 2 tablespoons of cheese. Fold one side of tortilla up and over filling, tucking filling in tightly, fold in the 2-inch edge. Continue rolling tortilla towards the other side, securing with a toothpick if necessary.
Repeat with remaining tortillas. Serve additional dip on the side.
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