Must a contract be signed in order to be binding?

Question Details: I started a business as an independent contractor in another business. I drew up my terms for a contract and the owner of the business I work in drew up his. I exchanged the agreed upon amount to work within his facility and began working, however neither party signed the contract. I would like to terminate my independent contractor agreement but am afraid he will take legal action against me for a breach of contract. Will he be able to file a law suit against me for breach of contract if neither party signed the contract? The monetary value that was exchanged was $2,650.

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