Math worksheet for practicing addition and subtraction of integers.

Let's solve each problem step by step. We are adding and subtracting integers, so we need to remember the rules:

- Adding two negative numbers: Add their absolute values and keep the negative sign.
- Adding a positive and a negative number: Subtract the smaller absolute value from the larger one and use the sign of the number with the larger absolute value.
- Subtracting a negative number: This is the same as adding the positive version of that number.

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Problem Set: Adding and Subtracting Integers

#### Left Column:

1. $-8 + (-12) = -8 - 12 = -20$
→ Add the absolute values: $8 + 12 = 20$, keep negative: -20

2. $-4 + 14 = 10$
→ $14 - 4 = 10$, positive dominates: 10

3. $-18 + (-12) = -18 - 12 = -30$
→ $18 + 12 = 30$, negative: -30

4. $18 + (-8) = 18 - 8 = 10$
→ $18 - 8 = 10$: 10

5. $-18 + (-2) = -18 - 2 = -20$
→ $18 + 2 = 20$, negative: -20

6. $-2 + (-18) = -2 - 18 = -20$
→ $2 + 18 = 20$, negative: -20

7. $-18 + (-4) = -18 - 4 = -22$
→ $18 + 4 = 22$, negative: -22

8. $19 - 12 = 7$
→ $19 - 12 = 7$: 7

9. $17 - 17 = 0$
→ Any number minus itself is zero: 0

10. $8 + (-18) = 8 - 18 = -10$
→ $18 - 8 = 10$, negative dominates: -10

11. $16 - 14 = 2$
→ $16 - 14 = 2$: 2

12. $16 + 15 = 31$
→ $16 + 15 = 31$: 31

13. $-18 + (-14) = -18 - 14 = -32$
→ $18 + 14 = 32$, negative: -32

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#### Right Column:

14. $-19 - (-10) = -19 + 10 = -9$
→ Subtracting a negative is like adding: $-19 + 10 = -9$: -9

15. $-15 + 10 = -5$
→ $15 - 10 = 5$, negative dominates: -5

16. $-6 - 20 = -26$
→ $6 + 20 = 26$, negative: -26

17. $-13 - 18 = -31$
→ $13 + 18 = 31$, negative: -31

18. $-2 - 13 = -15$
→ $2 + 13 = 15$, negative: -15

19. $15 - (-16) = 15 + 16 = 31$
→ Subtracting a negative is adding: $15 + 16 = 31$: 31

20. $13 + 1 = 14$
→ $13 + 1 = 14$: 14

21. $14 + 15 = 29$
→ $14 + 15 = 29$: 29

22. $-6 - 14 = -20$
→ $6 + 14 = 20$, negative: -20

23. $-18 - 1 = -19$
→ $18 + 1 = 19$, negative: -19

24. $-12 - 16 = -28$
→ $12 + 16 = 28$, negative: -28

25. $18 + 20 = 38$
→ $18 + 20 = 38$: 38

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Final Answers:

| Problem | Answer |
|--------|--------|
| $-8 + (-12)$ | -20 |
| $-4 + 14$ | 10 |
| $-18 + (-12)$ | -30 |
| $18 + (-8)$ | 10 |
| $-18 + (-2)$ | -20 |
| $-2 + (-18)$ | -20 |
| $-18 + (-4)$ | -22 |
| $19 - 12$ | 7 |
| $17 - 17$ | 0 |
| $8 + (-18)$ | -10 |
| $16 - 14$ | 2 |
| $16 + 15$ | 31 |
| $-18 + (-14)$ | -32 |
| $-19 - (-10)$ | -9 |
| $-15 + 10$ | -5 |
| $-6 - 20$ | -26 |
| $-13 - 18$ | -31 |
| $-2 - 13$ | -15 |
| $15 - (-16)$ | 31 |
| $13 + 1$ | 14 |
| $14 + 15$ | 29 |
| $-6 - 14$ | -20 |
| $-18 - 1$ | -19 |
| $-12 - 16$ | -28 |
| $18 + 20$ | 38 |

✔ All problems solved! Let me know if you'd like this in printable format or explained further.