Preheat oven to 450°. Place a jelly-roll pan on top rack in oven (keep pan in oven as it preheats).
Combine oil, salt, and pepper in a bowl. Add tomatoes and green beans; toss to coat. Carefully add green bean mixture to preheated pan; bake at 450° for 10 minutes, stirring after 5 minutes. Turn on broiler (do not remove pan from oven). Broil 5 minutes or until tomatoes begin to char. Remove pan from oven. Sprinkle with basil.
MyRecipes is working with Let's Move!, the Partnership for a Healthier America, and USDA's MyPlate to give anyone looking for healthier options access to a trove of recipes that will help them create healthy, tasty plates. For more information about creating a healthy plate, visit www.choosemyplate.gov.