1Pe 5:7 Cast all your anxieties on him, for he cares about you.
The title of the conference I went to last weekend was Be Not Afraid - There is Truth. We are told to not be afraid, to give all of our anxieties to God.
Php 4:6-7 Have no anxiety about anything, but in everything by prayer and supplication with thanksgiving let your requests be made known to God. And the peace of God, which passes all understanding, will keep your hearts and your minds in Christ Jesus.
My sister and I noted this does not say He's going to fix all of our problems. It just means that His peace will make it bearable and keep us focused on God. He will take care of us, if we let Him!
Psa 55:22 Cast your burden on the LORD, and he will sustain you; he will never permit the righteous to be moved.