Worksheet for practicing addition and subtraction of integers with 16 equations.
A worksheet titled "Adding and Subtracting Integers Practice" with two sections: one for addition equations and one for subtraction equations, each containing 8 problems. The worksheet includes space for a name and date at the top.
JPG
304×392
15.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #370796
⭐
Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Integers worksheets - Worksheets Library
▼
Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Integers worksheets - Worksheets Library
The image shows a worksheet titled "Adding and Subtracting Integers Practice." The task involves solving addition and subtraction equations with integers. Below, I will solve each problem step by step.
---
#### Equations to Solve:
1. \( -6 + 8 = \)
2. \( 7 + (-3) = \)
3. \( -6 + 8 = \)
4. \( -2 + 9 = \)
5. \( -7 + 4 = \)
6. \( -1 + 8 = \)
7. \( -4 + 3 = \)
8. \( -3 + 5 = \)
9. \( -10 + 3 = \)
10. \( 14 + (-8) = \)
11. \( -12 + 9 = \)
12. \( -17 + 12 = \)
13. \( 14 + (-18) = \)
14. \( -2 + (-18) = \)
15. \( 4 + (-17) = \)
16. \( -15 + (-13) = \)
#### Solutions:
1. \( -6 + 8 = 2 \)
- Add the absolute values: \( 8 - 6 = 2 \). Since 8 is positive, the result is positive.
2. \( 7 + (-3) = 4 \)
- Subtract the absolute values: \( 7 - 3 = 4 \). Since 7 is positive, the result is positive.
3. \( -6 + 8 = 2 \)
- Same as problem 1: \( 8 - 6 = 2 \).
4. \( -2 + 9 = 7 \)
- Subtract the absolute values: \( 9 - 2 = 7 \). Since 9 is positive, the result is positive.
5. \( -7 + 4 = -3 \)
- Subtract the absolute values: \( 7 - 4 = 3 \). Since 7 is negative, the result is negative.
6. \( -1 + 8 = 7 \)
- Subtract the absolute values: \( 8 - 1 = 7 \). Since 8 is positive, the result is positive.
7. \( -4 + 3 = -1 \)
- Subtract the absolute values: \( 4 - 3 = 1 \). Since 4 is negative, the result is negative.
8. \( -3 + 5 = 2 \)
- Subtract the absolute values: \( 5 - 3 = 2 \). Since 5 is positive, the result is positive.
9. \( -10 + 3 = -7 \)
- Subtract the absolute values: \( 10 - 3 = 7 \). Since 10 is negative, the result is negative.
10. \( 14 + (-8) = 6 \)
- Subtract the absolute values: \( 14 - 8 = 6 \). Since 14 is positive, the result is positive.
11. \( -12 + 9 = -3 \)
- Subtract the absolute values: \( 12 - 9 = 3 \). Since 12 is negative, the result is negative.
12. \( -17 + 12 = -5 \)
- Subtract the absolute values: \( 17 - 12 = 5 \). Since 17 is negative, the result is negative.
13. \( 14 + (-18) = -4 \)
- Subtract the absolute values: \( 18 - 14 = 4 \). Since 18 is negative, the result is negative.
14. \( -2 + (-18) = -20 \)
- Add the absolute values: \( 2 + 18 = 20 \). Since both numbers are negative, the result is negative.
15. \( 4 + (-17) = -13 \)
- Subtract the absolute values: \( 17 - 4 = 13 \). Since 17 is negative, the result is negative.
16. \( -15 + (-13) = -28 \)
- Add the absolute values: \( 15 + 13 = 28 \). Since both numbers are negative, the result is negative.
---
#### Equations to Solve:
1. \( 3 - 1 = \)
2. \( -7 - 5 = \)
3. \( -5 - 6 = \)
4. \( 4 - 8 = \)
5. \( -9 - 8 = \)
6. \( -2 - 4 = \)
7. \( -7 - (-9) = \)
8. \( 2 - 9 = \)
9. \( 9 - 12 + 14 = \)
10. \( 9 - 18 = \)
11. \( -3 - 16 = \)
12. \( 12 - 7 - 13 = \)
13. \( 4 - 12 = \)
14. \( 14 - 19 - 6 = \)
15. \( -17 - (-12) = \)
16. \( 16 - 0 + 16 = \)
#### Solutions:
1. \( 3 - 1 = 2 \)
- Subtract: \( 3 - 1 = 2 \).
2. \( -7 - 5 = -12 \)
- Add the absolute values: \( 7 + 5 = 12 \). Since both numbers are negative, the result is negative.
3. \( -5 - 6 = -11 \)
- Add the absolute values: \( 5 + 6 = 11 \). Since both numbers are negative, the result is negative.
4. \( 4 - 8 = -4 \)
- Subtract the absolute values: \( 8 - 4 = 4 \). Since 8 is negative, the result is negative.
5. \( -9 - 8 = -17 \)
- Add the absolute values: \( 9 + 8 = 17 \). Since both numbers are negative, the result is negative.
6. \( -2 - 4 = -6 \)
- Add the absolute values: \( 2 + 4 = 6 \). Since both numbers are negative, the result is negative.
7. \( -7 - (-9) = 2 \)
- Subtracting a negative is the same as adding: \( -7 + 9 = 2 \).
8. \( 2 - 9 = -7 \)
- Subtract the absolute values: \( 9 - 2 = 7 \). Since 9 is negative, the result is negative.
9. \( 9 - 12 + 14 = 11 \)
- First, \( 9 - 12 = -3 \).
- Then, \( -3 + 14 = 11 \).
10. \( 9 - 18 = -9 \)
- Subtract the absolute values: \( 18 - 9 = 9 \). Since 18 is negative, the result is negative.
11. \( -3 - 16 = -19 \)
- Add the absolute values: \( 3 + 16 = 19 \). Since both numbers are negative, the result is negative.
12. \( 12 - 7 - 13 = -8 \)
- First, \( 12 - 7 = 5 \).
- Then, \( 5 - 13 = -8 \).
13. \( 4 - 12 = -8 \)
- Subtract the absolute values: \( 12 - 4 = 8 \). Since 12 is negative, the result is negative.
14. \( 14 - 19 - 6 = -11 \)
- First, \( 14 - 19 = -5 \).
- Then, \( -5 - 6 = -11 \).
15. \( -17 - (-12) = -5 \)
- Subtracting a negative is the same as adding: \( -17 + 12 = -5 \).
16. \( 16 - 0 + 16 = 32 \)
- First, \( 16 - 0 = 16 \).
- Then, \( 16 + 16 = 32 \).
---
Adding Integers:
1. \( 2 \)
2. \( 4 \)
3. \( 2 \)
4. \( 7 \)
5. \( -3 \)
6. \( 7 \)
7. \( -1 \)
8. \( 2 \)
9. \( -7 \)
10. \( 6 \)
11. \( -3 \)
12. \( -5 \)
13. \( -4 \)
14. \( -20 \)
15. \( -13 \)
16. \( -28 \)
Subtracting Integers:
1. \( 2 \)
2. \( -12 \)
3. \( -11 \)
4. \( -4 \)
5. \( -17 \)
6. \( -6 \)
7. \( 2 \)
8. \( -7 \)
9. \( 11 \)
10. \( -9 \)
11. \( -19 \)
12. \( -8 \)
13. \( -8 \)
14. \( -11 \)
15. \( -5 \)
16. \( 32 \)
---
\[
\boxed{
\begin{array}{ll}
\text{Adding Integers:} & 2, 4, 2, 7, -3, 7, -1, 2, -7, 6, -3, -5, -4, -20, -13, -28 \\
\text{Subtracting Integers:} & 2, -12, -11, -4, -17, -6, 2, -7, 11, -9, -19, -8, -8, -11, -5, 32
\end{array}
}
\]
---
Part 1: Adding Integers
#### Equations to Solve:
1. \( -6 + 8 = \)
2. \( 7 + (-3) = \)
3. \( -6 + 8 = \)
4. \( -2 + 9 = \)
5. \( -7 + 4 = \)
6. \( -1 + 8 = \)
7. \( -4 + 3 = \)
8. \( -3 + 5 = \)
9. \( -10 + 3 = \)
10. \( 14 + (-8) = \)
11. \( -12 + 9 = \)
12. \( -17 + 12 = \)
13. \( 14 + (-18) = \)
14. \( -2 + (-18) = \)
15. \( 4 + (-17) = \)
16. \( -15 + (-13) = \)
#### Solutions:
1. \( -6 + 8 = 2 \)
- Add the absolute values: \( 8 - 6 = 2 \). Since 8 is positive, the result is positive.
2. \( 7 + (-3) = 4 \)
- Subtract the absolute values: \( 7 - 3 = 4 \). Since 7 is positive, the result is positive.
3. \( -6 + 8 = 2 \)
- Same as problem 1: \( 8 - 6 = 2 \).
4. \( -2 + 9 = 7 \)
- Subtract the absolute values: \( 9 - 2 = 7 \). Since 9 is positive, the result is positive.
5. \( -7 + 4 = -3 \)
- Subtract the absolute values: \( 7 - 4 = 3 \). Since 7 is negative, the result is negative.
6. \( -1 + 8 = 7 \)
- Subtract the absolute values: \( 8 - 1 = 7 \). Since 8 is positive, the result is positive.
7. \( -4 + 3 = -1 \)
- Subtract the absolute values: \( 4 - 3 = 1 \). Since 4 is negative, the result is negative.
8. \( -3 + 5 = 2 \)
- Subtract the absolute values: \( 5 - 3 = 2 \). Since 5 is positive, the result is positive.
9. \( -10 + 3 = -7 \)
- Subtract the absolute values: \( 10 - 3 = 7 \). Since 10 is negative, the result is negative.
10. \( 14 + (-8) = 6 \)
- Subtract the absolute values: \( 14 - 8 = 6 \). Since 14 is positive, the result is positive.
11. \( -12 + 9 = -3 \)
- Subtract the absolute values: \( 12 - 9 = 3 \). Since 12 is negative, the result is negative.
12. \( -17 + 12 = -5 \)
- Subtract the absolute values: \( 17 - 12 = 5 \). Since 17 is negative, the result is negative.
13. \( 14 + (-18) = -4 \)
- Subtract the absolute values: \( 18 - 14 = 4 \). Since 18 is negative, the result is negative.
14. \( -2 + (-18) = -20 \)
- Add the absolute values: \( 2 + 18 = 20 \). Since both numbers are negative, the result is negative.
15. \( 4 + (-17) = -13 \)
- Subtract the absolute values: \( 17 - 4 = 13 \). Since 17 is negative, the result is negative.
16. \( -15 + (-13) = -28 \)
- Add the absolute values: \( 15 + 13 = 28 \). Since both numbers are negative, the result is negative.
---
Part 2: Subtracting Integers
#### Equations to Solve:
1. \( 3 - 1 = \)
2. \( -7 - 5 = \)
3. \( -5 - 6 = \)
4. \( 4 - 8 = \)
5. \( -9 - 8 = \)
6. \( -2 - 4 = \)
7. \( -7 - (-9) = \)
8. \( 2 - 9 = \)
9. \( 9 - 12 + 14 = \)
10. \( 9 - 18 = \)
11. \( -3 - 16 = \)
12. \( 12 - 7 - 13 = \)
13. \( 4 - 12 = \)
14. \( 14 - 19 - 6 = \)
15. \( -17 - (-12) = \)
16. \( 16 - 0 + 16 = \)
#### Solutions:
1. \( 3 - 1 = 2 \)
- Subtract: \( 3 - 1 = 2 \).
2. \( -7 - 5 = -12 \)
- Add the absolute values: \( 7 + 5 = 12 \). Since both numbers are negative, the result is negative.
3. \( -5 - 6 = -11 \)
- Add the absolute values: \( 5 + 6 = 11 \). Since both numbers are negative, the result is negative.
4. \( 4 - 8 = -4 \)
- Subtract the absolute values: \( 8 - 4 = 4 \). Since 8 is negative, the result is negative.
5. \( -9 - 8 = -17 \)
- Add the absolute values: \( 9 + 8 = 17 \). Since both numbers are negative, the result is negative.
6. \( -2 - 4 = -6 \)
- Add the absolute values: \( 2 + 4 = 6 \). Since both numbers are negative, the result is negative.
7. \( -7 - (-9) = 2 \)
- Subtracting a negative is the same as adding: \( -7 + 9 = 2 \).
8. \( 2 - 9 = -7 \)
- Subtract the absolute values: \( 9 - 2 = 7 \). Since 9 is negative, the result is negative.
9. \( 9 - 12 + 14 = 11 \)
- First, \( 9 - 12 = -3 \).
- Then, \( -3 + 14 = 11 \).
10. \( 9 - 18 = -9 \)
- Subtract the absolute values: \( 18 - 9 = 9 \). Since 18 is negative, the result is negative.
11. \( -3 - 16 = -19 \)
- Add the absolute values: \( 3 + 16 = 19 \). Since both numbers are negative, the result is negative.
12. \( 12 - 7 - 13 = -8 \)
- First, \( 12 - 7 = 5 \).
- Then, \( 5 - 13 = -8 \).
13. \( 4 - 12 = -8 \)
- Subtract the absolute values: \( 12 - 4 = 8 \). Since 12 is negative, the result is negative.
14. \( 14 - 19 - 6 = -11 \)
- First, \( 14 - 19 = -5 \).
- Then, \( -5 - 6 = -11 \).
15. \( -17 - (-12) = -5 \)
- Subtracting a negative is the same as adding: \( -17 + 12 = -5 \).
16. \( 16 - 0 + 16 = 32 \)
- First, \( 16 - 0 = 16 \).
- Then, \( 16 + 16 = 32 \).
---
Final Answers:
Adding Integers:
1. \( 2 \)
2. \( 4 \)
3. \( 2 \)
4. \( 7 \)
5. \( -3 \)
6. \( 7 \)
7. \( -1 \)
8. \( 2 \)
9. \( -7 \)
10. \( 6 \)
11. \( -3 \)
12. \( -5 \)
13. \( -4 \)
14. \( -20 \)
15. \( -13 \)
16. \( -28 \)
Subtracting Integers:
1. \( 2 \)
2. \( -12 \)
3. \( -11 \)
4. \( -4 \)
5. \( -17 \)
6. \( -6 \)
7. \( 2 \)
8. \( -7 \)
9. \( 11 \)
10. \( -9 \)
11. \( -19 \)
12. \( -8 \)
13. \( -8 \)
14. \( -11 \)
15. \( -5 \)
16. \( 32 \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Adding Integers:} & 2, 4, 2, 7, -3, 7, -1, 2, -7, 6, -3, -5, -4, -20, -13, -28 \\
\text{Subtracting Integers:} & 2, -12, -11, -4, -17, -6, 2, -7, 11, -9, -19, -8, -8, -11, -5, 32
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of subtract integers worksheet.