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

Here is the complete solution to the “Adding and Subtracting Integers Practice” worksheet, with explanations for each section.

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## Section A
*Basic integer addition and subtraction.*

Rules to remember:

- Adding a positive → move right on number line.
- Adding a negative → move left (same as subtracting).
- Subtracting a positive → move left.
- Subtracting a negative → move right (same as adding).

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1) 2 – 7 = -5
Start at 2, subtract 7 → move 7 left → land on -5.

2) -4 + 8 = 4
Start at -4, add 8 → move 8 right → land on 4.

3) -2 + 12 = 10
Start at -2, add 12 → move 12 right → land on 10.

4) -7 – 4 = -11
Start at -7, subtract 4 → move 4 left → land on -11.

5) 9 – 10 = -1
Start at 9, subtract 10 → move 10 left → land on -1.

6) -7 + 4 = -3
Start at -7, add 4 → move 4 right → land on -3.

7) -8 – 11 = -19
Start at -8, subtract 11 → move 11 left → land on -19.

8) -15 + 1 = -14
Start at -15, add 1 → move 1 right → land on -14.

9) -12 + 14 = 2
Start at -12, add 14 → move 14 right → land on 2.

10) -10 + 23 = 13
Start at -10, add 23 → move 23 right → land on 13.

11) -6 – 11 = -17
Start at -6, subtract 11 → move 11 left → land on -17.

12) -12 – 17 = -29
Start at -12, subtract 17 → move 17 left → land on -29.

✔ Section A Answers:
1) -5 2) 4 3) 10 4) -11 5) -1 6) -3
7) -19 8) -14 9) 2 10) 13 11) -17 12) -29

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## Section B
*Includes expressions like `+ -` or `- +`, which simplify to subtraction or addition.*

Key Tip:

- `+ -` → becomes `-`
- `- +` → becomes `-`
- `- -` → becomes `+`

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1) 2 + -6 = 2 – 6 = -4

2) -9 – +9 = -9 – 9 = -18

3) 4 + -3 = 4 – 3 = 1

4) 3 – +8 = 3 – 8 = -5

5) -2 + -4 = -2 – 4 = -6

6) -5 – +5 = -5 – 5 = -10

7) 3 – -4 = 3 + 4 = 7 *(subtracting a negative = adding)*

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

✔ Section B Answers:
1) -4 2) -18 3) 1 4) -5 5) -6 6) -10
7) 7 8) 13 9) 16 10) -4 11) 2 12) -4

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## Section C
*More complex with larger numbers and double negatives.*

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1) -8 – -12 = -8 + 12 = 4

2) -8 + -10 = -8 – 10 = -18

3) -16 – +7 = -16 – 7 = -23

4) 27 + -5 = 27 – 5 = 22

5) -17 – -3 = -17 + 3 = -14

6) -3 – -14 = -3 + 14 = 11

7) -17 + -9 = -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

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

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## Section D
*Mixed operations — solve left to right unless parentheses are present.*

Order of Operations Reminder:

- Parentheses first
- Then left to right for addition/subtraction

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1) 7 – +2 – -4 = 7 – 2 + 4 = (7 – 2) + 4 = 5 + 4 = 9

2) -5 – -4 + -2 = -5 + 4 – 2 = (-5 + 4) – 2 = -1 – 2 = -3

3) 4 + -6 – -7 = 4 – 6 + 7 = (4 – 6) + 7 = -2 + 7 = 5

4) -3 – -9 + -9 = -3 + 9 – 9 = (-3 + 9) – 9 = 6 – 9 = -3

5) 18 + -3 – -4 = 18 – 3 + 4 = (18 – 3) + 4 = 15 + 4 = 19

6) 2 + (5 – -3) = 2 + (5 + 3) = 2 + 8 = 10
*(Parentheses first: 5 – -3 = 5 + 3 = 8)*

7) -11 + (-8 – -2) = -11 + (-8 + 2) = -11 + (-6) = -17
*(Inside parentheses: -8 – -2 = -8 + 2 = -6)*

8) 7 – (-2 + -6) = 7 – (-8) = 7 + 8 = 15
*(-2 + -6 = -8; then 7 – (-8) = 7 + 8)*

9) (-4 + -2) + (4 – -9) = (-6) + (4 + 9) = -6 + 13 = 7

10) 3 – ((-1 + -5) – 12) = 3 – ((-6) – 12) = 3 – (-18) = 3 + 18 = 21
*Step-by-step:*
- Inner: -1 + -5 = -6
- Then: -6 – 12 = -18
- Finally: 3 – (-18) = 3 + 18 = 21

✔ Section D Answers:
1) 9 2) -3 3) 5 4) -3 5) 19
6) 10 7) -17 8) 15 9) 7 10) 21

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## ✔ Final Answer Key:

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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