# Input Output Tables - Addition & Subtraction Rules

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## Input Output Tables - Addition & Subtraction Rules Answer Key

1.

What is the rule for this input/output table?

Input | Output |
---|---|

18 | 9 |

17 | 8 |

16 | 7 |

15 | 6 |

- add 1
- add 9
- subtract 1
- subtract 9

2.

What is the rule for this input/output table?

Input | Output |
---|---|

9 | 12 |

11 | 14 |

13 | 16 |

15 | 18 |

- add 2
- add 3
- subtract 2
- subtract 3

3.

What is the rule for this input/output table?

Input | Output |
---|---|

15 | 35 |

39 | 59 |

61 | 81 |

78 | 98 |

- add 20
- add 25
- subtract 20
- subtract 25

4.

What is the rule for this input/output table?

Input | Output |
---|---|

33 | 21 |

50 | 38 |

78 | 66 |

91 | 79 |

- add 12
- add 17
- subtract 12
- subtract 17

5.

What is the rule for this input/output table?

Input | 14 | 37 | 42 | 63 |
---|---|---|---|---|

Output | 21 | 44 | 49 | 70 |

- add 5
- add 7
- add 23
- add 35

6.

What is the rule for this input/output table?

Input | 51 | 58 | 64 | 87 |
---|---|---|---|---|

Output | 46 | 53 | 59 | 82 |

- subtract 3
- subtract 4
- subtract 5
- subtract 6

7.

What is the rule for this input/output table?

Input | 22 | 38 | 40 | 57 |
---|---|---|---|---|

Output | 4 | 20 | 22 | 39 |

- add 16
- add 18
- subtract 16
- subtract 18

8.

What is the rule for this input/output table?

Input | 16 | 27 | 52 | 64 |
---|---|---|---|---|

Output | 31 | 42 | 67 | 79 |

- add 11
- add 15
- subtract 11
- subtract 15

9.

What is the rule for this input/output table? Explain how you found the rule.

Input | Output |
---|---|

12 | 31 |

25 | 44 |

38 | 57 |

71 | 90 |

- Rule: Add 19; Accept any reasonable explanation for how rule was determined. For example: I subtracted 12 from 31 and got 19. I know it is an adding rule because the output numbers are larger than the input numbers.

10.

Reggie says the rule for the input/output table is subtract 8. Is Reggie's rule correct? Explain how you know.

Input | Output |
---|---|

42 | 36 |

57 | 51 |

70 | 64 |

85 | 79 |

- No, Reggie's rule is incorrect. Accept any reasonable explanation for why Reggie's rule is incorrect. For example: I checked Reggie's rule by subtracting 64 from 70 and got 6. If the rule was subtract 8, the output should be 62 because 70 - 8 = 62. Reggie's rule is wrong.

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