Chicken Noodle Casserole

1 can (10.5 oz) cream of chicken soup
1/2 cup mayonnaise
2 cups cubed, cooked chicken
2 cups shredded cheese, I use cheddar
12 oz medium egg noodles, cooked and drained

Preheat oven to 350F. In a large bowl, combine soup and mayonnaise. Add the chicken and one cup of cheese, mix well. Add noodles and toss to coat. Transfer to a greased two-quart baking dish. Bake, uncovered, 30-35 minutes. Sprinkle with remaining cheese and bake until melted.