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Unformatted text preview: SAMPLE FIRST LONG EXAM IN MATH 17 1. Which of the following is true? A. A ∈ {{ }} B. ⊂ { } C. ( ( )) D. ( ) 2. Which of the following is true? A. B A A B B A C. C C C B A B A B. B A B A A D. A B B A 3. Consider the operation * defined as a ∗ ? = ? ? ¡? ¢ . Which of the following is not true? A. Z is closed under *. B. * is commutative in Z C. * is associative in Z D. If a>0, ? ∗ ? ≥ For numbers 45, consider the following addition and multiplication tables for S 4 ={0,1,2,3}. + 0 1 2 3 0 0 1 2 3 1 1 2 3 0 2 2 3 0 1 3 3 0 1 2 4. Solve for x: £ + 4 3 = 3 × 4 2+ 4 2 × 4 ( − 2) . x = _______. 5. What is the best description for the system [ ¤ 4 , + 4 ,× 4 ] ? A. It is a group. C. It is a commutative ring with identity. B. It is a ring. D. It is a field. 6. Given 1 1 , , G , which of the following best describes , , G ?...
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 Spring '11
 dikopaalam
 Math

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