Let's solve the
Basic Algebra - Addition and Subtraction worksheet step by step.
We are given:
- $ a = 3 $
- $ b = 5 $
- $ c = 7 $
Now, we'll substitute these values into each expression and calculate the result.
---
1. $ a + 9 $
$ 3 + 9 = 12 $
✔ Answer: 12
---
2. $ b - 2 $
$ 5 - 2 = 3 $
✔ Answer: 3
---
3. $ 7 + c $
$ 7 + 7 = 14 $
✔ Answer: 14
---
4. $ c + 8 $
$ 7 + 8 = 15 $
✔ Answer: 15
---
5. $ c - 5 $
$ 7 - 5 = 2 $
✔ Answer: 2
---
6. $ 15 + b $
$ 15 + 5 = 20 $
✔ Answer: 20
---
7. $ 10 - a $
$ 10 - 3 = 7 $
✔ Answer: 7
---
8. $ a + b + c $
$ 3 + 5 + 7 = 15 $
✔ Answer: 15
---
9. $ 25 - b $
$ 25 - 5 = 20 $
✔ Answer: 20
---
10. $ c + 16 $
$ 7 + 16 = 23 $
✔ Answer: 23
---
11. $ 17 + a $
$ 17 + 3 = 20 $
✔ Answer: 20
---
12. $ c - b $
$ 7 - 5 = 2 $
✔ Answer: 2
---
13. $ 30 + c $
$ 30 + 7 = 37 $
✔ Answer: 37
---
14. $ 18 - b $
$ 18 - 5 = 13 $
✔ Answer: 13
---
15. $ 37 - a $
$ 37 - 3 = 34 $
✔ Answer: 34
---
16. $ 9 + c $
$ 9 + 7 = 16 $
✔ Answer: 16
---
17. $ a - 2 $
$ 3 - 2 = 1 $
✔ Answer: 1
---
18. $ b - 1 $
$ 5 - 1 = 4 $
✔ Answer: 4
---
19. $ a + c $
$ 3 + 7 = 10 $
✔ Answer: 10
---
20. $ 14 - c $
$ 14 - 7 = 7 $
✔ Answer: 7
---
✔ Final Answers:
1. 12
2. 3
3. 14
4. 15
5. 2
6. 20
7. 7
8. 15
9. 20
10. 23
11. 20
12. 2
13. 37
14. 13
15. 34
16. 16
17. 1
18. 4
19. 10
20. 7
---
📝 Explanation:
This worksheet introduces
basic algebraic substitution, where letters (variables) represent known numbers. We simply replace each letter with its given value and perform standard arithmetic operations (addition and subtraction).
For example:
- In $ a + 9 $, since $ a = 3 $, we do $ 3 + 9 = 12 $.
- In $ a + b + c $, we add all three values: $ 3 + 5 + 7 = 15 $.
This builds foundational skills for more advanced algebra later on.
Let me know if you'd like this in printable format or need help explaining any specific problem!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting algebraic expressions worksheet.
