Final answer:
The two forms Trey received are the W-4 form, which is used for determining tax withholding from his wages, and the I-9 form, which is used for verifying his identity and employment authorization.
Step-by-step explanation:
The two forms that Trey was handed on his first day of work at the hotel restaurant for tax and employment verification purposes are the W-4 and I-9 forms. The W-4 form is used to determine the amount of federal income tax to be withheld from an employee's paycheck. What Trey declares on this form will impact his take-home pay, as it indicates how much tax should be collected for local, state, and federal taxes.
On the other hand, the I-9 form is used to verify the identity and employment authorization of employees in order to comply with the Immigration Reform and Control Act of 1986, which mandates that every employee prove they are legally entitled to work in the United States.