Integers Word Problems QUIZ worksheet - Free Printable

Let's solve each part of the worksheet step by step.

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I. Solve for the following equations

We will solve each arithmetic problem using the rules of integers.

1. -18 + (-7)
Adding two negative numbers:
$-18 - 7 = -25$
✔ Answer: -25

2. 20 + (-9)
Adding a negative is like subtraction:
$20 - 9 = 11$
✔ Answer: 11

3. 31 – (-13)
Subtracting a negative is like adding:
$31 + 13 = 44$
✔ Answer: 44

4. -28 – 14
Subtracting a positive from a negative:
$-28 - 14 = -42$
✔ Answer: -42

5. -15 × 4
Negative times positive = negative:
$-15 × 4 = -60$
✔ Answer: -60

6. 38 × 3
$38 × 3 = 114$
✔ Answer: 114

7. 29 × (-6)
Positive times negative = negative:
$29 × -6 = -174$
✔ Answer: -174

8. -49 × (-7)
Negative times negative = positive:
$-49 × -7 = 343$
✔ Answer: 343

9. -104 ÷ (-4)
Negative divided by negative = positive:
$-104 ÷ -4 = 26$
✔ Answer: 26

10. 96 ÷ (-8)
Positive divided by negative = negative:
$96 ÷ -8 = -12$
✔ Answer: -12

11. -192 ÷ 6
Negative divided by positive = negative:
$-192 ÷ 6 = -32$
✔ Answer: -32

12. 187 ÷ 11
$187 ÷ 11 = 17$ (since 11×17 = 187)
✔ Answer: 17

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II. Word Problems

#### 1. A girl is scuba diving 10 meters below sea level. If she dives down for another 3 meters, how far below sea level is she now?

She starts at -10 meters (below sea level).
She goes down 3 more meters, so:
$-10 - 3 = -13$ meters

✔ Answer: 13 meters below sea level

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#### 2. A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level. How many feet did she descend?

Start: +533 ft
End: -10 ft
Distance descended = Final position - Initial position
But since she’s descending, we compute the total drop:
$533 - (-10) = 533 + 10 = 543$ feet

✔ Answer: 543 feet

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#### 3. The temperature on Sunday was -15°C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

"12 degrees less" means subtract 12 from Sunday’s temp:
$-15 - 12 = -27^\circ C$

✔ Answer: -27°C

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#### 4. Karen withdrew P500 from her savings account. Then, she used her debit card to buy groceries for P350. What was the total amount Karen took out of her account?

Both transactions are withdrawals:
$500 + 350 = 850$

✔ Answer: P850

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✔ Final Answers:

#### Part I:
1. -25
2. 11
3. 44
4. -42
5. -60
6. 114
7. -174
8. 343
9. 26
10. -12
11. -32
12. 17

#### Part II:
1. 13 meters below sea level
2. 543 feet
3. -27°C
4. P850

Let me know if you'd like this in a printable format or with explanations for each step!