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Fearing whether or not you will be rejected for a card is a big problem when it comes to applying for credit cards, especially if you are insecure about your credit score. If you are approved for the card, everything is fine, but if you are declined they bump your score down a few notches. On the Teamster website, it is said that their cards are for people with good and excellent credit. That means your credit score should be at least 700 and higher. As long as your credit score is in this range, you have a good chance of being approved. You should check your credit score to know what your options are. If you decide to get the Teamster's card, you can apply for it by going to and clicking on the application button to start the process.