Let’s solve each section step by step. We’ll go one problem at a time, carefully checking our work.
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Section A
1) 2 – 7 =
Start at 2, move 7 left → -5
✔ -5
2) -4 + 8 =
Start at -4, move 8 right → 4
✔ 4
3) -2 + 12 =
Start at -2, move 12 right → 10
✔ 10
4) -7 – 4 =
Start at -7, move 4 left → -11
✔ -11
5) 9 – 10 =
Start at 9, move 10 left → -1
✔ -1
6) -7 + 4 =
Start at -7, move 4 right → -3
✔ -3
7) -8 – 11 =
Start at -8, move 11 left → -19
✔ -19
8) -15 + 1 =
Start at -15, move 1 right → -14
✔ -14
9) -12 + 14 =
Start at -12, move 14 right → 2
✔ 2
10) -10 + 23 =
Start at -10, move 23 right → 13
✔ 13
11) -6 – 11 =
Start at -6, move 11 left → -17
✔ -17
12) -12 – 17 =
Start at -12, move 17 left → -29
✔ -29
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Section B
Remember: Adding a negative is like subtracting. Subtracting a negative is like adding.
1) 2 + (-6) = 2 – 6 = -4
✔ -4
2) -9 – (+9) = -9 – 9 = -18
✔ -18
3) 4 + (-3) = 4 – 3 = 1
✔ 1
4) 3 – (+8) = 3 – 8 = -5
✔ -5
5) -2 + (-4) = -2 – 4 = -6
✔ -6
6) -5 – (+5) = -5 – 5 = -10
✔ -10
7) 3 – (-4) = 3 + 4 = 7
✔ 7
8) 8 – (-5) = 8 + 5 = 13
✔ 13
9) 10 – (-6) = 10 + 6 = 16
✔ 16
10) -7 – (-3) = -7 + 3 = -4
✔ -4
11) -1 – (-3) = -1 + 3 = 2
✔ 2
12) -6 – (-2) = -6 + 2 = -4
✔ -4
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Section C
Same rules — watch the signs!
1) -8 – (-12) = -8 + 12 = 4
✔ 4
2) -8 + (-10) = -8 – 10 = -18
✔ -18
3) -16 – (+7) = -16 – 7 = -23
✔ -23
4) 27 + (-5) = 27 – 5 = 22
✔ 22
5) -17 – (-3) = -17 + 3 = -14
✔ -14
6) -3 – (-14) = -3 + 14 = 11
✔ 11
7) -17 + (-9) = -17 – 9 = -26
✔ -26
8) -8 – (+19) = -8 – 19 = -27
✔ -27
9) -54 – (+24) = -54 – 24 = -78
✔ -78
10) -10 – (-8) = -10 + 8 = -2
✔ -2
11) 9 – (+20) = 9 – 20 = -11
✔ -11
12) -18 – (-33) = -18 + 33 = 15
✔ 15
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Section D
Now we have multiple steps or parentheses. Do what’s inside parentheses first!
1) 7 – (+2) – (-4) = 7 – 2 + 4 = (7–2)=5; 5+4=9
✔ 9
2) -5 – (-4) + (-2) = -5 + 4 – 2 = (-5+4)=-1; -1–2=-3
✔ -3
3) 4 + (-6) – (-7) = 4 – 6 + 7 = (4–6)=-2; -2+7=5
✔ 5
4) -3 – (-9) + (-9) = -3 + 9 – 9 = (-3+9)=6; 6–9=-3
✔ -3
5) 18 + (-3) – (-4) = 18 – 3 + 4 = (18–3)=15; 15+4=19
✔ 19
6) 2 + (5 – (-3)) = 2 + (5 + 3) = 2 + 8 = 10
✔ 10
7) -11 + (-8 – (-2)) = -11 + (-8 + 2) = -11 + (-6) = -17
✔ -17
8) 7 – (-2 + (-6)) = 7 – (-2 – 6) = 7 – (-8) = 7 + 8 = 15
✔ 15
9) (-4 + (-2)) + (4 – (-9)) = (-6) + (4 + 9) = -6 + 13 = 7
✔ 7
10) 3 – ((-1 + (-5)) – 12) = 3 – ((-6) – 12) = 3 – (-18) = 3 + 18 = 21
✔ 21
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Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of integers worksheet grade 7.
