This worksheet challenges students to calculate y-values by plugging x-values into various linear function equations.

Here are the completed function tables for each equation. To find the missing $y$ values, substitute the given $x$ value into the equation and solve.

1) $f(x) = 7x + 7$
* $x = -2 \rightarrow y = 7(-2) + 7 = -14 + 7 = -7$
* $x = -7 \rightarrow y = 7(-7) + 7 = -49 + 7 = -42$
* $x = 4 \rightarrow y = 7(4) + 7 = 28 + 7 = 35$
* $x = 1 \rightarrow y = 7(1) + 7 = 7 + 7 = 14$

2) $f(x) = -\frac{1}{8}x - 2$
* $x = 6 \rightarrow y = -\frac{1}{8}(6) - 2 = -0.75 - 2 = -2.75$
* $x = -9 \rightarrow y = -\frac{1}{8}(-9) - 2 = 1.125 - 2 = -0.875$
* $x = 9 \rightarrow y = -\frac{1}{8}(9) - 2 = -1.125 - 2 = -3.125$
* $x = 2 \rightarrow y = -\frac{1}{8}(2) - 2 = -0.25 - 2 = -2.25$
* $x = 1 \rightarrow y = -\frac{1}{8}(1) - 2 = -0.125 - 2 = -2.125$

3) $f(x) = 2x$
* $x = 4 \rightarrow y = 2(4) = 8$
* $x = -8 \rightarrow y = 2(-8) = -16$
* $x = -3 \rightarrow y = 2(-3) = -6$
* $x = -7 \rightarrow y = 2(-7) = -14$
* $x = -5 \rightarrow y = 2(-5) = -10$

4) $f(x) = x + 3$
* $x = -8 \rightarrow y = -8 + 3 = -5$
* $x = 1 \rightarrow y = 1 + 3 = 4$
* $x = 9 \rightarrow y = 9 + 3 = 12$
* $x = -7 \rightarrow y = -7 + 3 = -4$
* $x = 2 \rightarrow y = 2 + 3 = 5$

5) $f(x) = 9x - 6$
* $x = -1 \rightarrow y = 9(-1) - 6 = -9 - 6 = -15$
* $x = -7 \rightarrow y = 9(-7) - 6 = -63 - 6 = -69$
* $x = 6 \rightarrow y = 9(6) - 6 = 54 - 6 = 48$
* $x = 1 \rightarrow y = 9(1) - 6 = 9 - 6 = 3$
* $x = 2 \rightarrow y = 9(2) - 6 = 18 - 6 = 12$

6) $f(x) = 8x$
* $x = -1 \rightarrow y = 8(-1) = -8$
* $x = -3 \rightarrow y = 8(-3) = -24$
* $x = 0 \rightarrow y = 8(0) = 0$
* $x = 2 \rightarrow y = 8(2) = 16$
* $x = -7 \rightarrow y = 8(-7) = -56$

7) $f(x) = -\frac{1}{9}x + 4$
* $x = -4 \rightarrow y = -\frac{1}{9}(-4) + 4 = \frac{4}{9} + 4 = 4\frac{4}{9}$
* $x = 3 \rightarrow y = -\frac{1}{9}(3) + 4 = -\frac{3}{9} + 4 = -\frac{1}{3} + 4 = 3\frac{2}{3}$
* $x = -3 \rightarrow y = -\frac{1}{9}(-3) + 4 = \frac{3}{9} + 4 = \frac{1}{3} + 4 = 4\frac{1}{3}$
* $x = 8 \rightarrow y = -\frac{1}{9}(8) + 4 = -\frac{8}{9} + 4 = 3\frac{1}{9}$
* $x = -1 \rightarrow y = -\frac{1}{9}(-1) + 4 = \frac{1}{9} + 4 = 4\frac{1}{9}$

8) $f(x) = -\frac{1}{6}x + 2$
* $x = 3 \rightarrow y = -\frac{1}{6}(3) + 2 = -0.5 + 2 = 1.5$
* $x = 4 \rightarrow y = -\frac{1}{6}(4) + 2 = -\frac{2}{3} + 2 = 1\frac{1}{3}$
* $x = 2 \rightarrow y = -\frac{1}{6}(2) + 2 = -\frac{1}{3} + 2 = 1\frac{2}{3}$
* $x = -8 \rightarrow y = -\frac{1}{6}(-8) + 2 = \frac{8}{6} + 2 = \frac{4}{3} + 2 = 3\frac{1}{3}$
* $x = -3 \rightarrow y = -\frac{1}{6}(-3) + 2 = 0.5 + 2 = 2.5$

9) $f(x) = x - 9$
* $x = 8 \rightarrow y = 8 - 9 = -1$
* $x = 4 \rightarrow y = 4 - 9 = -5$
* $x = 2 \rightarrow y = 2 - 9 = -7$
* $x = 6 \rightarrow y = 6 - 9 = -3$
* $x = 3 \rightarrow y = 3 - 9 = -6$

10) $f(x) = 3x + 5$
* $x = 5 \rightarrow y = 3(5) + 5 = 15 + 5 = 20$
* $x = -6 \rightarrow y = 3(-6) + 5 = -18 + 5 = -13$
* $x = 0 \rightarrow y = 3(0) + 5 = 0 + 5 = 5$
* $x = -8 \rightarrow y = 3(-8) + 5 = -24 + 5 = -19$
* $x = 1 \rightarrow y = 3(1) + 5 = 3 + 5 = 8$

11) $f(x) = -2x$
* $x = 6 \rightarrow y = -2(6) = -12$
* $x = -8 \rightarrow y = -2(-8) = 16$
* $x = 3 \rightarrow y = -2(3) = -6$
* $x = 4 \rightarrow y = -2(4) = -8$
* $x = -4 \rightarrow y = -2(-4) = 8$

12) $f(x) = x - 7$
* $x = 5 \rightarrow y = 5 - 7 = -2$
* $x = 9 \rightarrow y = 9 - 7 = 2$
* $x = -9 \rightarrow y = -9 - 7 = -16$
* $x = -5 \rightarrow y = -5 - 7 = -12$
* $x = -4 \rightarrow y = -4 - 7 = -11$

Final Answer:

1)
| x | y |
|---|---|
| 0 | 7 |
| -2 | -7 |
| -7 | -42 |
| 4 | 35 |
| 1 | 14 |

2)
| x | y |
|---|---|
| 6 | -2.75 |
| -9 | -0.875 |
| 9 | -3.125 |
| 2 | -2.25 |
| 1 | -2.125 |

3)
| x | y |
|---|---|
| 4 | 8 |
| -8 | -16 |
| -3 | -6 |
| -7 | -14 |
| -5 | -10 |

4)
| x | y |
|---|---|
| -8 | -5 |
| 1 | 4 |
| 9 | 12 |
| -7 | -4 |
| 2 | 5 |

5)
| x | y |
|---|---|
| -1 | -15 |
| -7 | -69 |
| 6 | 48 |
| 1 | 3 |
| 2 | 12 |

6)
| x | y |
|---|---|
| -1 | -8 |
| -3 | -24 |
| 0 | 0 |
| 2 | 16 |
| -7 | -56 |

7)
| x | y |
|---|---|
| -4 | 4 4/9 |
| 3 | 3 2/3 |
| -3 | 4 1/3 |
| 8 | 3 1/9 |
| -1 | 4 1/9 |

8)
| x | y |
|---|---|
| 3 | 1.5 |
| 4 | 1 1/3 |
| 2 | 1 2/3 |
| -8 | 3 1/3 |
| -3 | 2.5 |

9)
| x | y |
|---|---|
| 8 | -1 |
| 4 | -5 |
| 2 | -7 |
| 6 | -3 |
| 3 | -6 |

10)
| x | y |
|---|---|
| 5 | 20 |
| -6 | -13 |
| 0 | 5 |
| -8 | -19 |
| 1 | 8 |

11)
| x | y |
|---|---|
| 6 | -12 |
| -8 | 16 |
| 3 | -6 |
| 4 | -8 |
| -4 | 8 |

12)
| x | y |
|---|---|
| 5 | -2 |
| 9 | 2 |
| -9 | -16 |
| -5 | -12 |
| -4 | -11 |