Adding and Subtracting Integers Practice Worksheet | 7th Grade PDF ... - Free Printable

Let's solve each problem step by step, following the rules for adding and subtracting integers.

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🔷 Rules to Remember:

1. Adding Integers:
- Same signs: Add absolute values, keep the sign.
- Different signs: Subtract smaller from larger, take the sign of the larger absolute value.

2. Subtracting Integers:
- Change subtraction to addition by changing the sign of the second number (the subtrahend).
- Then follow addition rules.

Example:
$ 5 - (-3) = 5 + 3 = 8 $
$ -4 - 7 = -4 + (-7) = -11 $

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## ✔ Section A

1) $ 2 - 7 = -5 $
2) $ -4 + 8 = 4 $
3) $ -2 + 12 = 10 $
4) $ -7 - 4 = -11 $
5) $ 9 - 10 = -1 $
6) $ -7 + 4 = -3 $
7) $ -8 - 11 = -19 $
8) $ -15 + 1 = -14 $
9) $ -12 + 14 = 2 $
10) $ -10 + 23 = 13 $
11) $ -6 - 11 = -17 $
12) $ -12 - 17 = -29 $

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## ✔ Section B

1) $ 2 + (-6) = -4 $
2) $ -9 - (+9) = -9 - 9 = -18 $
3) $ 4 + (-3) = 1 $
4) $ 3 - (+8) = 3 - 8 = -5 $
5) $ -2 + (-4) = -6 $
6) $ -5 - (+5) = -5 - 5 = -10 $
7) $ 3 - (-4) = 3 + 4 = 7 $
8) $ 8 - (-5) = 8 + 5 = 13 $
9) $ 10 - (-6) = 10 + 6 = 16 $
10) $ -7 - (-3) = -7 + 3 = -4 $
11) $ -1 - (-3) = -1 + 3 = 2 $
12) $ -6 - (-2) = -6 + 2 = -4 $

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## ✔ Section C

1) $ -8 - (-12) = -8 + 12 = 4 $
2) $ -8 + (-10) = -18 $
3) $ -16 - (+7) = -16 - 7 = -23 $
4) $ 27 + (-5) = 22 $
5) $ -17 - (-3) = -17 + 3 = -14 $
6) $ -3 - (-14) = -3 + 14 = 11 $
7) $ -17 + (-9) = -26 $
8) $ -8 - (+19) = -8 - 19 = -27 $
9) $ -54 - (+24) = -54 - 24 = -78 $
10) $ -10 - (-8) = -10 + 8 = -2 $
11) $ 9 - (+20) = 9 - 20 = -11 $
12) $ -18 - (-33) = -18 + 33 = 15 $

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## ✔ Section D *(Multi-step problems)*

1) $ 7 - (+2) - (-4) = 7 - 2 + 4 = 5 + 4 = 9 $
2) $ -5 - (-4) + (-2) = -5 + 4 - 2 = -1 - 2 = -3 $
3) $ 4 + (-6) - (-7) = 4 - 6 + 7 = -2 + 7 = 5 $
4) $ -3 - (-9) + (-9) = -3 + 9 - 9 = 6 - 9 = -3 $
5) $ 18 + (-3) - (-4) = 18 - 3 + 4 = 15 + 4 = 19 $
6) $ 2 + (5 - (-3)) = 2 + (5 + 3) = 2 + 8 = 10 $
7) $ -11 + (-8 - (-2)) = -11 + (-8 + 2) = -11 + (-6) = -17 $
8) $ 7 - (-2 + (-6)) = 7 - (-8) = 7 + 8 = 15 $
9) $ (-4 + (-2)) + (4 - (-9)) = (-6) + (4 + 9) = -6 + 13 = 7 $
10) $ 3 - ((-1 + (-5)) - 12) = 3 - ((-6) - 12) = 3 - (-18) = 3 + 18 = 21 $

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## ✔ Final Answers:

Section A

1) -5
2) 4
3) 10
4) -11
5) -1
6) -3
7) -19
8) -14
9) 2
10) 13
11) -17
12) -29

Section B

1) -4
2) -18
3) 1
4) -5
5) -6
6) -10
7) 7
8) 13
9) 16
10) -4
11) 2
12) -4

Section C

1) 4
2) -18
3) -23
4) 22
5) -14
6) 11
7) -26
8) -27
9) -78
10) -2
11) -11
12) 15

Section D

1) 9
2) -3
3) 5
4) -3
5) 19
6) 10
7) -17
8) 15
9) 7
10) 21

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✔ Summary: This worksheet reinforces understanding of integer operations using real-world logic:
- Subtracting a negative is like adding a positive.
- Adding two negatives makes a more negative number.
- Always simplify step-by-step, especially in multi-step expressions.

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