Integer Quiz worksheet featuring math problems and a cartoon illustration.

Here's the complete solution to the Integer Quiz worksheet, with detailed explanations for each problem.

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1. -4 + 3 =

Answer: -1
*Explanation:* Start at -4 on the number line. Move 3 units to the right (since adding a positive). You land on -1.

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2. 7 + (-1) =

Answer: 6
*Explanation:* Start at 7. Add -1 means move 1 unit left → 6.

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3. 8 + (-6) =

Answer: 2
*Explanation:* 8 minus 6 = 2. Adding a negative is subtraction.

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4. -12 - 5 =

Answer: -17
*Explanation:* Subtracting a positive from a negative makes it more negative: -12 - 5 = -17.

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5. 6 - (-4) =

Answer: 10
*Explanation:* Subtracting a negative is like adding the positive: 6 + 4 = 10.

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6. -10 - (-3) =

Answer: -7
*Explanation:* -10 + 3 = -7. Minus a negative becomes plus.

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7. 10 × (-2) =

Answer: -20
*Explanation:* Positive × negative = negative. 10 × 2 = 20 → so -20.

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8. -4 × (-3) =

Answer: 12
*Explanation:* Negative × negative = positive. 4 × 3 = 12.

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9. -15 ÷ 3 =

Answer: -5
*Explanation:* Negative ÷ positive = negative. 15 ÷ 3 = 5 → so -5.

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10. 18 ÷ (-2) =

Answer: -9
*Explanation:* Positive ÷ negative = negative. 18 ÷ 2 = 9 → so -9.

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11. -12 ÷ (-4) =

Answer: 3
*Explanation:* Negative ÷ negative = positive. 12 ÷ 4 = 3.

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12. List the following numbers on the number line: -3, 8, -5, 2, -1

Number Line (from left to right):
-5 —— -3 —— -1 —— 2 —— 8

*Explanation:* On a number line, smaller numbers are to the left. Order from least to greatest: -5, -3, -1, 2, 8.

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13. Order the following integers from least to greatest: -12, 7, -6, 2, 5, 9

Answer: -12, -6, 2, 5, 7, 9

*Explanation:* Least to greatest: negatives first (more negative = smaller), then positives in ascending order.

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14. Eric’s “Integer Baseball” Game

> First pitch: Strike (−1)
> Second pitch: Ball (+1)
> Third pitch: Strike again (−1)
> Fourth pitch: Home run! (+5)

Total score after 4 pitches = ?

Calculation:
-1 + 1 + (-1) + 5 =
(-1 + 1) = 0
0 + (-1) = -1
-1 + 5 = +4

✔ Answer: 4 points

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15. Money from selling lemonade

> Rate: $1,000 per hour
> Time: 2.5 hours

Total money = 1000 × 2.5 = $2,500

✔ Answer: $2,500

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16. Temperature change

> Starts at -12°F
> Rises by 20 degrees

New temperature = -12 + 20 = 8°F

✔ Answer: 8°F

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17. Shana’s checking account

> Balance: -$35 (overdrawn)
> Deposit: $100

New balance = -35 + 100 = $65

✔ Answer: $65

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18. Earning money for digging a hole

> Goal: $40
> Earned so far: $17
> Hourly rate: $8

Amount still needed = 40 - 17 = $23
Hours needed = 23 ÷ 8 = 2.875 hours

But since you can’t work a fraction of an hour in most real-world contexts (unless specified), and the question asks “how many hours will it take”, we interpret this as:

→ She needs to work 3 full hours to earn enough (since 2 hours = $16 → total $33 < $40; 3 hours = $24 → total $41 ≥ $40).

However, if fractional hours are allowed, the exact answer is 2.875 hours or 2 7/8 hours.

✔ Answer: 2.875 hours *(or 2 7/8 hours)*
*(Note: If only whole hours accepted, answer is 3 hours — but mathematically, 2.875 is precise.)*

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19. Speeding ticket fine

> Base fine: $4
> Per mile over limit: $1.50
> Speed: 24 mph over limit

Fine = 4 + (1.50 × 24)
= 4 + 36
= $40

✔ Answer: $40

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20. Small loan interest

> Loan amount: $24
> Interest rate: 5% per year
> Time: 5 years

Simple Interest Formula: I = P × r × t
I = 24 × 0.05 × 5 = 24 × 0.25 = $6

✔ Answer: $6

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## ✔ Final Answers Summary:

1. -1
2. 6
3. 2
4. -17
5. 10
6. -7
7. -20
8. 12
9. -5
10. -9
11. 3
12. Number line: -5, -3, -1, 2, 8 (left to right)
13. -12, -6, 2, 5, 7, 9
14. 4
15. $2,500
16. 8°F
17. $65
18. 2.875 hours (or 2 7/8 hours)
19. $40
20. $6

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