Let’s solve each problem step by step. We’re adding algebraic expressions, which means we combine like terms — that is, terms with the same variable (like x) and constant numbers (just plain numbers).
---
1.) (6x + 8) + (9 - 2x)
Step 1: Remove parentheses → 6x + 8 + 9 - 2x
Step 2: Group like terms → (6x - 2x) + (8 + 9)
Step 3: Simplify → 4x + 17
✔ Final Answer for #1:
4x + 17
---
2.) (3 - 7x) + (2 - 7x)
Step 1: Remove parentheses → 3 - 7x + 2 - 7x
Step 2: Group like terms → (-7x - 7x) + (3 + 2)
Step 3: Simplify → -14x + 5
✔ Final Answer for #2:
-14x + 5
---
3.) (11x - 2) + (7 + 6x)
Step 1: Remove parentheses → 11x - 2 + 7 + 6x
Step 2: Group like terms → (11x + 6x) + (-2 + 7)
Step 3: Simplify → 17x + 5
✔ Final Answer for #3:
17x + 5
---
4.) (12 + 2x) + (18 + x)
Step 1: Remove parentheses → 12 + 2x + 18 + x
Step 2: Group like terms → (2x + x) + (12 + 18)
Step 3: Simplify → 3x + 30
✔ Final Answer for #4:
3x + 30
---
5.) (19 - 16x) + (3 + 8x)
Step 1: Remove parentheses → 19 - 16x + 3 + 8x
Step 2: Group like terms → (-16x + 8x) + (19 + 3)
Step 3: Simplify → -8x + 22
✔ Final Answer for #5:
-8x + 22
---
6.) (3x - 21) + (2x + 26)
Step 1: Remove parentheses → 3x - 21 + 2x + 26
Step 2: Group like terms → (3x + 2x) + (-21 + 26)
Step 3: Simplify → 5x + 5
✔ Final Answer for #6:
5x + 5
---
Final Answer:
1.) 4x + 17
2.) -14x + 5
3.) 17x + 5
4.) 3x + 30
5.) -8x + 22
6.) 5x + 5
Parent Tip: Review the logic above to help your child master the concept of addition of algebraic expressions worksheet.
