5 Halloween Math Activities and Worksheets - IntoMath - Free Printable

Absolutely! Let’s solve all 24 algebraic expressions step by step, simplifying each one by collecting like terms. We’ll go row by row, left column then right column.

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🔹 Left Column:

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1. `2x + 3 - 2x - 5 + 10`

- Combine like terms:
- `2x - 2x = 0`
- `3 - 5 + 10 = 8`
- ✔ Answer: `8`

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2. `-3m + 13 - 12 + 4m - 11`

- Combine `m` terms: `-3m + 4m = m`
- Constants: `13 - 12 - 11 = -10`
- ✔ Answer: `m - 10`

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3. `11 + 14 - (-4m) + 3m`

- Simplify double negative: `-(-4m) = +4m`
- So: `11 + 14 + 4m + 3m = 25 + 7m`
- ✔ Answer: `7m + 25`

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4. `320 - (-45) - m - (-3m)`

- Simplify negatives: `-(-45) = +45`, `-(-3m) = +3m`
- So: `320 + 45 - m + 3m = 365 + 2m`
- ✔ Answer: `2m + 365`

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5. `54t - 34t + 5 - (-6) + t`

- Simplify: `-(-6) = +6`
- Combine `t` terms: `54t - 34t + t = 21t`
- Constants: `5 + 6 = 11`
- ✔ Answer: `21t + 11`

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6. `-(-5r) + 3r - 15 - 1`

- Simplify: `-(-5r) = +5r`
- So: `5r + 3r - 15 - 1 = 8r - 16`
- ✔ Answer: `8r - 16`

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7. `66 - (-11) + 12p - (-3p)`

- Simplify: `-(-11) = +11`, `-(-3p) = +3p`
- So: `66 + 11 + 12p + 3p = 77 + 15p`
- ✔ Answer: `15p + 77`

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8. `2(3) - (-3) + 4p - 34`

- Multiply: `2(3) = 6`
- Simplify: `-(-3) = +3`
- So: `6 + 3 + 4p - 34 = 4p - 25`
- ✔ Answer: `4p - 25`

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9. `100 - 2(11) - p - 3p`

- Multiply: `2(11) = 22`
- So: `100 - 22 - p - 3p = 78 - 4p`
- ✔ Answer: `-4p + 78` (or `78 - 4p`)

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10. `350 + 20x - 340 - 10x`

- Combine constants: `350 - 340 = 10`
- Combine `x`: `20x - 10x = 10x`
- ✔ Answer: `10x + 10`

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11. `45(2) - 90m + 5 - 10m`

- Multiply: `45(2) = 90`
- So: `90 - 90m + 5 - 10m = 95 - 100m`
- ✔ Answer: `-100m + 95`

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12. `2(12) + 6 - 3x - (-7x)`

- Multiply: `2(12) = 24`
- Simplify: `-(-7x) = +7x`
- So: `24 + 6 - 3x + 7x = 30 + 4x`
- ✔ Answer: `4x + 30`

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🔹 Right Column:

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1. `-(m - 2) + 2m - 14`

- Distribute the negative: `-(m - 2) = -m + 2`
- So: `-m + 2 + 2m - 14 = m - 12`
- ✔ Answer: `m - 12`

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2. `24m + 6m - (-3m) + 10m`

- Simplify: `-(-3m) = +3m`
- So: `24m + 6m + 3m + 10m = 43m`
- ✔ Answer: `43m`

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3. `500 - 345 + 13x - 23x`

- Constants: `500 - 345 = 155`
- `x` terms: `13x - 23x = -10x`
- ✔ Answer: `-10x + 155`

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4. `60x - 59x + x - (-45x)`

- Simplify: `-(-45x) = +45x`
- So: `60x - 59x + x + 45x = (1x + x + 45x) = 47x`
- ✔ Answer: `47x`

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5. `2(-3) - 9 - 34x - (-x)`

- Multiply: `2(-3) = -6`
- Simplify: `-(-x) = +x`
- So: `-6 - 9 - 34x + x = -15 - 33x`
- ✔ Answer: `-33x - 15`

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6. `(2 + 3) - (2m + 3m)`

- Simplify inside parentheses: `2 + 3 = 5`, `2m + 3m = 5m`
- So: `5 - 5m`
- ✔ Answer: `-5m + 5`

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7. `45s - 15s + 12s + 35s`

- All are `s` terms: `45 - 15 = 30; 30 + 12 = 42; 42 + 35 = 77`
- ✔ Answer: `77s`

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8. `701s - 21s + 30s - s`

- Combine: `701 - 21 = 680; 680 + 30 = 710; 710 - 1 = 709`
- ✔ Answer: `709s`

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9. `400n + 400n - 30 + 24`

- `n` terms: `400n + 400n = 800n`
- Constants: `-30 + 24 = -6`
- ✔ Answer: `800n - 6`

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10. `59d - (-20d) - 38 + 21`

- Simplify: `-(-20d) = +20d`
- So: `59d + 20d - 38 + 21 = 79d - 17`
- ✔ Answer: `79d - 17`

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11. `-(-47) + 13 - 42n × 2`

- Simplify: `-(-47) = +47`
- Multiply: `42n × 2 = 84n`
- So: `47 + 13 - 84n = 60 - 84n`
- ✔ Answer: `-84n + 60`

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12. `380 - (-2s + 5s) + 25 - s`

- First simplify inside parentheses: `-2s + 5s = 3s`
- Then distribute the negative: `- (3s) = -3s`
- So: `380 - 3s + 25 - s = (380 + 25) + (-3s - s) = 405 - 4s`
- ✔ Answer: `-4s + 405`

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## 🎉 Final Answers (All 24):

Left Column:

1. `8`
2. `m - 10`
3. `7m + 25`
4. `2m + 365`
5. `21t + 11`
6. `8r - 16`
7. `15p + 77`
8. `4p - 25`
9. `78 - 4p`
10. `10x + 10`
11. `-100m + 95`
12. `4x + 30`

Right Column:

1. `m - 12`
2. `43m`
3. `-10x + 155`
4. `47x`
5. `-33x - 15`
6. `-5m + 5`
7. `77s`
8. `709s`
9. `800n - 6`
10. `79d - 17`
11. `-84n + 60`
12. `-4s + 405`

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✔ You’ve climbed all 24 stairs and made it to Count Dracula’s Halloween party just in time!

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