1. 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt Truth Value Conjunction and Disjunction Conditional/ Biconditional Inverse/Converse Contrapositive Wild Card FINAL JEOPARDY

2. What is the truth value of the following statement? 10 is a perfect square

3. False

4. What is the truth value of the following conditional? If there are 48 hours in a day then there are 60 minutes in a second.

5. True

6. What is the truth value of the following conjunction? 1 is a prime number and 15 is divisible by 5

7. False

8. Given: p: 13 is an odd number q: is a rational number What is the truth value of the following: pV q

9. True

10. Given: k: the grass is green m: the sky is purple What is the truth value of: k m

11. False

12. What is the truth table for conjunction:

13. pq p ∧ q TTT TFF FTF FFF

14. What is the truth table for disjunction?

15. pq p ∨ q TTT TFT FTT FFF

16. Which of the following has the same truth value as the given statement: Given: 4 + 1=7 and 3 + 2= 5 a)4 + 1=7 or 3 + 2= 5 b)If 4 + 1=7 then 3 + 2= 5 c)4 + 1 ≠ 7 if and only if 3 + 2= 5 d)4 + 1=7 or 3 + 2 ≠ 5

17. D

18. Given the true statement, “John likes math or John likes science,” and the true statement, “John does not like science.” What is the truth value of John does not like math?

19. False

20. Which of the following has the same truth value as the original statement: 12 is a prime number or 7 is a prime number a)12 is not a prime number and 7 is a prime number b)12 is a prime number and 7 is not a prime number c)12 is a prime number or 7 is not a prime number d)12 is a prime number and 7 is a prime number

21. A

22. What is the truth table for the conditional?

23. pq p ⇒ q TTT TFF FTT FFT

24. Which of the following is an example of a biconditional? a)If it rains then I get wet b)It rains and I get wet c)It rains or I get wet d)It rains if and only if I get wet

25. D

26. Which value of x makes the statement, If x < 10 then x is a perfect square false? a)36c) 4 b)6d) 25

27. B

28. Given the false statement, “If Rachel passes her classes then Rachel plays basketball.” Determine the truth value of “Rachel passes her classes and Rachel does not play basketball”

29. True

30. True or False: 81 is a perfect cube if and only if 8 is a perfect square

31. True

32. What is the inverse of “ If I go to homecoming then I will ride in a limo?

33. If I do not go to homecoming then I do not ride in a limo

34. Write the statement that is logically equivalent to: If I go to work then I will get paid

35. If I do not get paid then I will not go to work

36. Which of the following is the converse of “ If a triangle has three sides then it is a polygon? a)If a triangle does not have three sides then it is not a polygon b)If a triangle is not a polygon then it does not have three sides c)If a triangle is a polygon then it has three sides d)If a triangle has three sides then it is not a polygon

37. C

38. Which of the following statements is logically equivalent to “If I eat breakfast then I will pay attention? a)If I do not pay attention then I did not eat breakfast b)If I do not eat breakfast then I do not pay attention c)If I pay attention then I ate breakfast d)If I do not pay attention then I ate breakfast.

39. A

40. Write the inverse, converse, and contrapositive of the following statement AND the truth value of each If 4 is even then 7 is odd.

41. Inverse: if 4 is not even then 7 is not odd (true) Converse: If 7 is odd then 4 is even (true) Contrapositive: If 7 is not odd then 4 is not even. (True)

42. Write the symbol for each of the following? A)Disjunction B)Conjunction C)Conditional D)Biconditional

43. A) V B) Λ C) D)

44. Given the following statements: “I will go to college if and only if I work” (T) “I do not work “(T) Find the truth value of, “I will go to college”

45. False

46. Given the false statement, “Mary falls asleep or she watches a movie” and the true statement “Mary does not watch a movie.” What is the truth value of Mary falls asleep? Justify your answer!

47. Mary falls asleep is false because we are told that the statement, “Mary falls asleep or she watches a movie is false,” and the only way for a disjunction to be false is if both statements are false.

48. Give an example of a value for x that makes the statement, “x is prime or x > 7”, false.

49. 1, 4 or 6

50. What are the coordinates of the point (-4, 7) after a r y = x ?

51. (7, -4)

52. FINAL JEOPARDY Given the false statement: “If Kevin does his math homework, then his mother is not angry.” Write the following using the statements above: a)A True conjunction b)A False disjunction c)A False conditional (different than the original)

53. a)Kevin does his math homework and his mother is angry. b)Kevin does not do his math homework or his mother is not angry. c)If Kevin’s mother is angry, then he did not do his math homework.