# 3.6: Function Machines

**At Grade**Created by: CK-12

**Function Machines – Complete one-step function tables**

For these problems, students follow rules presented in words and with symbols to complete two-column function tables. Each of the rules requires one computational step. Problems 1-8 use addition. Problems 9 – 12 use subtraction.

**Solutions**

1.

In |
Out |
---|---|

2 | 3 |

6 | 7 |

0 | 1 |

8 | 9 |

4 | 5 |

2.

In |
Out |
---|---|

4 | 7 |

5 | 8 |

1 | 4 |

2 | 5 |

7 | 10 |

3.

In |
Out |
---|---|

1 | 6 |

4 | 9 |

5 | 10 |

3 | 8 |

2 | 7 |

4.

In |
Out |
---|---|

6 | 10 |

0 | 4 |

3 | 7 |

4 | 8 |

5 | 9 |

5.

In |
Out |
---|---|

7 | 9 |

5 | 7 |

8 | 10 |

3 | 5 |

6 | 8 |

6.

In |
Out |
---|---|

5 | 9 |

2 | 6 |

6 | 10 |

8 | 12 |

3 | 7 |

7.

In |
Out |
---|---|

0 | 6 |

6 | 12 |

2 | 8 |

3 | 9 |

4 | 10 |

8.

In |
Out |
---|---|

2 | 9 |

7 | 14 |

1 | 8 |

5 | 12 |

3 | 10 |

9.

In |
Out |
---|---|

5 | 4 |

3 | 2 |

7 | 6 |

4 | 3 |

9 | 8 |

10.

In |
Out |
---|---|

7 | 5 |

3 | 1 |

8 | 6 |

6 | 4 |

5 | 3 |

11.

In |
Out |
---|---|

6 | 1 |

10 | 5 |

8 | 3 |

7 | 2 |

9 | 4 |

12.

In |
Out |
---|---|

5 | 2 |

8 | 5 |

4 | 1 |

3 | 0 |

7 | 4 |

\begin{aligned}& \mathbf{Describe:} && \text{The box is an} \ \mathbf{Add \ 2} \ \text{machine. The table has} \ \mathbf{IN} \ \text{numbers and} \ \mathbf{OUT}\\ &&& \text{numbers. Some OUT numbers are missing.}\\ & \mathbf{My \ Job:} && \text{Fill in the other OUT numbers.}\\ & \mathbf{Plan:} && \text{Add} \ 2 \ \text{to each} \ \mathbf{IN} \ \text{number to get the} \ \mathbf{OUT} \ \text{number.}\\ & \mathbf{Solve:}\end{aligned}

In |
Out |
---|---|

1 | 3 |

4 | 6 |

3 | 5 |

0 | 2 |

5 | 7 |

\begin{aligned}& \mathbf{Check:} && \text{Start with the IN number. Count up:} \ 4, 5, 6\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 3, 4, 5\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 0, 1, 2\\ &&& \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 5, 6, 7\end{aligned}

Follow the rules. Complete the tables.

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