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Name________________________________________Date____________Period____Score____/30 Inductive and Deductive Reasoning Practice PA Anchors: D1 Use inductive reasoning to find the next two terms in each sequence. Describe the rule that was used to create the sequence 1. 4, 8, 12, 16, _____, _____ Rule: __________________________________ 2. 400, 200, 100, 50, 25, _____, _____ Rule: __________________________________ 3. 1, 3, 9, 27, 81, _____, _____ Rule: __________________________________ 4. -4, 1, 6, 11, _____, _____ Rule: __________________________________ 5. 12, 7, 11, 6, 10, _____, _____ Rule: __________________________________ Use inductive reasoning to draw the next two shapes in each pattern. 6. 7. 8. Solve the following equation. Give a reason for each step. 19 – 2(3x – 1) = 5(x + 2) Original Equation Use deductive reasoning to write a conclusion for each pair of statements. 9. All whole numbers are real numbers 71 is a whole number _______________________________________________________________________ 10. All integers are rational numbers 87 is an integer _______________________________________________________________________ Determine whether each situation is an example of inductive or deductive reasoning. 11. Each day for the past two weeks there has been an even number of birds at your feeder. Therefore, today there will be an even number of birds at the feeder. __________________________ 12. The sum of the angles of any triangle is 180. You know two angles of a triangle are 30 and 70. Therefore, the third angle must be 80. __________________________ 13. The perimeter of a square is 4 times the length of one side. The perimeter of a square is 20 inches. Therefore, the length of one side is 5 inches. __________________________ 14. The last 10 times you pushed an odd-numbered button, a red light flashed. Therefore, if you push the button numbered 5, a red light will flash. __________________________ 15. All birds have beaks. A condor is a bird. Therefore, it has a beak. __________________________ 16. Whenever you walk out your door and see your neighbor’s cat, it rains that afternoon. You saw your neighbor’s cat when you walked out the door this morning. Therefore, it will rain this afternoon. __________________________ Bonus: A. Three boys are in three different rooms. Mario always tells the truth. Julio sometimes tells the truth. Billy never tells the truth. Use the statements made by the person in each room to tell who is in each of the rooms. Room 1 I’m Julio. Room 2 The guy in Room 1 is Mario. Room 3 The guy in Room 1 is Billy. Room 1 __________________ Room 2 __________________ Room 3 __________________ B. Three girls are in three different rooms. Carla always tells the truth. Brenda sometimes tells the truth. Alice never tells the truth. Use the statements made by the person in each room to tell who is in each of the rooms. Room 1 The girl in Room 2 is Carla. Room 1 __________________ Room 2 __________________ Room 3 __________________ Room 2 I’m Brenda. Room 3 The girl in Room 2 is Alice.