Algebra Calculation Game #1 - A fun math worksheet with algebraic expressions on a hexagonal grid for interactive learning.

This image is a worksheet for an "Algebra Calculation Game #1". The game involves rolling a die (shown in the top left corner) and then calculating the value of algebraic expressions based on the number rolled.

The core task is to evaluate the algebraic expressions written inside the hexagons using the number you roll for 'n'.

Here's how to solve it:

1. Roll the Die: The die shown has six dots, which means the number rolled is `6`. So, we will use `n = 6` for all calculations.
2. Calculate Each Expression: For each hexagon, substitute `n = 6` into the expression and simplify.

Let's calculate the value for each expression:

- `n²` = `6²` = `36`
- `n - 5` = `6 - 5` = `1`
- `10 - n` = `10 - 6` = `4`
- `12 - 2n` = `12 - 2(6)` = `12 - 12` = `0`
- `2n - 3` = `2(6) - 3` = `12 - 3` = `9`
- `n² + 1` = `6² + 1` = `36 + 1` = `37`
- `3n - 1` = `3(6) - 1` = `18 - 1` = `17`
- `10n` = `10(6)` = `60`
- `2(n + 1)` = `2(6 + 1)` = `2(7)` = `14`
- `n - 2` = `6 - 2` = `4`
- `2n + 1` = `2(6) + 1` = `12 + 1` = `13`
- `4n + 1` = `4(6) + 1` = `24 + 1` = `25`
- `5n + 1` = `5(6) + 1` = `30 + 1` = `31`
- `7 - n` = `7 - 6` = `1`
- `n + 4` = `6 + 4` = `10`
- `3n` = `3(6)` = `18`
- `24/n` = `24/6` = `4`
- `6n` = `6(6)` = `36`
- `2(n - 1)` = `2(6 - 1)` = `2(5)` = `10`
- `n + 10` = `6 + 10` = `16`

Solution Summary:

By substituting `n = 6` into each expression, we get the following values for each hexagon:

| Expression | Value |
| :--- | :--- |
| `n²` | 36 |
| `n - 5` | 1 |
| `10 - n` | 4 |
| `12 - 2n` | 0 |
| `2n - 3` | 9 |
| `n² + 1` | 37 |
| `3n - 1` | 17 |
| `10n` | 60 |
| `2(n + 1)` | 14 |
| `n - 2` | 4 |
| `2n + 1` | 13 |
| `4n + 1` | 25 |
| `5n + 1` | 31 |
| `7 - n` | 1 |
| `n + 4` | 10 |
| `3n` | 18 |
| `24/n` | 4 |
| `6n` | 36 |
| `2(n - 1)` | 10 |
| `n + 10` | 16 |

The game is likely designed for students to practice evaluating algebraic expressions with a specific value for the variable.