Function Table Worksheets | Function Table & In and Out Boxes ... - Free Printable

You've uploaded a worksheet titled “Complete the function table for each equation.” The goal is to fill in the missing `y` values (or sometimes `x`, but here it’s mostly `y`) using the given function `f(x) = ...`.

Each problem gives you an equation and a list of `x` values. You plug each `x` into the equation to compute `y = f(x)`.

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Let’s solve each one step by step.

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1) `f(x) = 7x + 7`

| x | y = 7x + 7 |
|----|------------|
| 0 | 7(0)+7 = 7 ✔ |
| -2 | 7(-2)+7 = -14+7 = -7 ✔ |
| -7 | 7(-7)+7 = -49+7 = -42 ✔ |
| 4 | 7(4)+7 = 28+7 = 35 ✔ |
| 1 | 7(1)+7 = 7+7 = 14 ✔ |

✔ All correct as shown.

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2) `f(x) = -1/8 x - 2`

| x | y = (-1/8)x - 2 |
|----|------------------|
| 6 | (-1/8)(6) - 2 = -6/8 - 2 = -3/4 - 2 = -2.75 or -11/4 |
| -9 | (-1/8)(-9) - 2 = 9/8 - 2 = 9/8 - 16/8 = -7/8 |
| 9 | (-1/8)(9) - 2 = -9/8 - 16/8 = -25/8 or -3.125 |
| 2 | (-1/8)(2) - 2 = -2/8 - 2 = -1/4 - 2 = -2.25 or -9/4 |
| 1 | (-1/8)(1) - 2 = -1/8 - 16/8 = -17/8 or -2.125 |

✔ Fill in:
- x=6 → -2.75 or -11/4
- x=-9 → -7/8
- x=9 → -25/8 or -3.125
- x=2 → -2.25 or -9/4
- x=1 → -17/8 or -2.125

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3) `f(x) = 2x`

| x | y = 2x |
|----|--------|
| 4 | 2×4 = 8 |
| -8 | 2×(-8) = -16 |
| -3 | 2×(-3) = -6 |
| -7 | 2×(-7) = -14 |
| -5 | 2×(-5) = -10 |

✔ Fill in: 8, -16, -6, -14, -10

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4) `f(x) = x + 3`

| x | y = x + 3 |
|----|-----------|
| -8 | -8 + 3 = -5 |
| 1 | 1 + 3 = 4 |
| 9 | 9 + 3 = 12 |
| -7 | -7 + 3 = -4 |
| 2 | 2 + 3 = 5 |

✔ Fill in: -5, 4, 12, -4, 5

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5) `f(x) = 9x - 6`

| x | y = 9x - 6 |
|----|------------|
| -1 | 9(-1)-6 = -9-6 = -15 |
| -7 | 9(-7)-6 = -63-6 = -69 |
| 6 | 9(6)-6 = 54-6 = 48 |
| 1 | 9(1)-6 = 9-6 = 3 |
| 2 | 9(2)-6 = 18-6 = 12 |

✔ Fill in: -15, -69, 48, 3, 12

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6) `f(x) = 8x`

| x | y = 8x |
|----|--------|
| -1 | 8×(-1) = -8 |
| -3 | 8×(-3) = -24 |
| 0 | 8×0 = 0 |
| 2 | 8×2 = 16 |
| -7 | 8×(-7) = -56 |

✔ Fill in: -8, -24, 0, 16, -56

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7) `f(x) = -1/9 x + 4`

| x | y = (-1/9)x + 4 |
|----|------------------|
| -4 | (-1/9)(-4) + 4 = 4/9 + 4 = 4/9 + 36/9 = 40/9 ≈ 4.44 |
| 3 | (-1/9)(3) + 4 = -3/9 + 4 = -1/3 + 4 = 11/3 ≈ 3.67 |
| -3 | (-1/9)(-3) + 4 = 3/9 + 4 = 1/3 + 4 = 13/3 ≈ 4.33 |
| 8 | (-1/9)(8) + 4 = -8/9 + 36/9 = 28/9 ≈ 3.11 |
| -1 | (-1/9)(-1) + 4 = 1/9 + 4 = 37/9 ≈ 4.11 |

✔ Fill in:
- x=-4 → 40/9 or ~4.44
- x=3 → 11/3 or ~3.67
- x=-3 → 13/3 or ~4.33
- x=8 → 28/9 or ~3.11
- x=-1 → 37/9 or ~4.11

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8) `f(x) = 1/6 x + 2`

| x | y = (1/6)x + 2 |
|----|----------------|
| 3 | (1/6)(3) + 2 = 0.5 + 2 = 2.5 or 5/2 |
| 4 | (1/6)(4) + 2 = 4/6 + 2 = 2/3 + 2 = 8/3 ≈ 2.67 |
| 2 | (1/6)(2) + 2 = 2/6 + 2 = 1/3 + 2 = 7/3 ≈ 2.33 |
| -8 | (1/6)(-8) + 2 = -8/6 + 2 = -4/3 + 6/3 = 2/3 |
| -3 | (1/6)(-3) + 2 = -3/6 + 2 = -0.5 + 2 = 1.5 or 3/2 |

✔ Fill in:
- x=3 → 2.5 or 5/2
- x=4 → 8/3 or ~2.67
- x=2 → 7/3 or ~2.33
- x=-8 → 2/3
- x=-3 → 1.5 or 3/2

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9) `f(x) = x - 9`

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

✔ Fill in: -1, -5, -7, -3, -6

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10) `f(x) = 3x + 5`

| x | y = 3x + 5 |
|----|------------|
| 5 | 3(5)+5 = 15+5 = 20 |
| -6 | 3(-6)+5 = -18+5 = -13 |
| 0 | 3(0)+5 = 5 |
| -8 | 3(-8)+5 = -24+5 = -19 |
| 1 | 3(1)+5 = 3+5 = 8 |

✔ Fill in: 20, -13, 5, -19, 8

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11) `f(x) = -2x`

| x | y = -2x |
|----|---------|
| 6 | -2×6 = -12 |
| -8 | -2×(-8) = 16 |
| 3 | -2×3 = -6 |
| 4 | -2×4 = -8 |
| -4 | -2×(-4) = 8 |

✔ Fill in: -12, 16, -6, -8, 8

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12) `f(x) = x - 7`

| x | y = x - 7 |
|----|-----------|
| 5 | 5 - 7 = -2 |
| 9 | 9 - 7 = 2 |
| -9 | -9 - 7 = -16 |
| -5 | -5 - 7 = -12 |
| -4 | -4 - 7 = -11 |

✔ Fill in: -2, 2, -16, -12, -11

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## ✔ Final Answer Summary:

Here are all the completed tables:

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1)
x: 0, -2, -7, 4, 1
y: 7, -7, -42, 35, 14 ✔

2)
x: 6, -9, 9, 2, 1
y: -11/4, -7/8, -25/8, -9/4, -17/8

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

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

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

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

7)
x: -4, 3, -3, 8, -1
y: 40/9, 11/3, 13/3, 28/9, 37/9

8)
x: 3, 4, 2, -8, -3
y: 5/2, 8/3, 7/3, 2/3, 3/2

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

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

11)
x: 6, -8, 3, 4, -4
y: -12, 16, -6, -8, 8

12)
x: 5, 9, -9, -5, -4
y: -2, 2, -16, -12, -11

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📌 Tip: Always substitute the `x` value into the function `f(x)` and simplify carefully — especially with fractions and negatives!

Let me know if you want this as a printable answer key or need decimal approximations instead of fractions!