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 Mathematical Systems Pretest

 1 . Identify the binary operation of this mathematical system. [Hint] 2 . Find . [Hint] 3 . What is the identity element for the mathematical system? [Hint] 4 . Is the mathematical system closed under the binary operation? [Hint] 5 . Is the set {1, 2, 3, 4, 5, 6} closed under the operation of addition? [Hint] 6 . Consider the 3-hour, modulo 3, clock system under the operation of clock addition. Which table represents the clock addition table? [Hint] 7 . Determine if the statement is true or false. If the statement is false, identify the first number on the right to make it true. 32 = 0(mod 4) [Hint] 8 . Determine if the statement is true or false. If the statement is false, identify the first number on the right to make it true. 15 = 2(mod 6) [Hint] 9 . Find the sum. (5 + 4) (mod 8) [Hint] 10 . Find the sum. (6 + 4) (mod 10) [Hint] Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.

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