FA(B) Test 2 on Number System for Grade 7 Mathematics, focusing on integer operations and properties.

Let’s go through each question one by one. We’ll check if the statement is true or false by doing the math carefully.

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1. (–11) + (–8) = (–8) + (–11)
Left side: –11 + (–8) = –19
Right side: –8 + (–11) = –19
→ Same result → True

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2. –7 + 2 = 2 + (–7)
Left: –7 + 2 = –5
Right: 2 + (–7) = –5
→ Same → True

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3. (–33) + 8 = 8 + (–33)
Left: –33 + 8 = –25
Right: 8 + (–33) = –25
→ Same → True

*(Note: Addition is commutative — order doesn’t matter, even with negatives.)*

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4. The additive inverse of (–32) is (–32)
Additive inverse means “what you add to get zero”.
So, what + (–32) = 0? → It’s +32, not –32.
→ So this is False

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5. (–90) + (–30) = 60
Left: –90 + (–30) = –120
Right: 60
–120 ≠ 60 → False

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6. (–125) + 25 = –100
Left: –125 + 25 = –100
Right: –100
→ Equal → True

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7. (–675) – (–400) = –1075
Subtracting a negative is like adding:
–675 – (–400) = –675 + 400 = –275
But right side says –1075 → Not equal → False

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8. 15 – (–18) is the same as 15 + 18
Yes! Subtracting a negative = adding the positive.
15 – (–18) = 15 + 18 = 33
→ So this is True

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9. (–45) – (–8) = (–8) – (–45)
Left: –45 – (–8) = –45 + 8 = –37
Right: –8 – (–45) = –8 + 45 = 37
–37 ≠ 37 → False

*(Subtraction is NOT commutative — order matters!)*

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10. 11 + (–3) = –3 + (11)
Left: 11 + (–3) = 8
Right: –3 + 11 = 8
→ Same → True

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Now let’s list all answers clearly:

1. True
2. True
3. True
4. False
5. False
6. True
7. False
8. True
9. False
10. True

Final Answer:
1. True
2. True
3. True
4. False
5. False
6. True
7. False
8. True
9. False
10. True