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Combining Like Terms Interactive Worksheet
🧮 Combining Like Terms
A Math Adventure for Grade 7 – Let's master algebra together!
🌟 What are Like Terms?
In algebra, like terms are terms that have the same variable raised to the same power. We can combine them by adding or subtracting their coefficients!
✅ Like Terms (same variable & power)
3x
7x
5y²
–2y²
4
9
❌ Unlike Terms (different variables or powers)
3x
3y
x²
x³
5x
5
🎯 The Golden Rule
Think of variables like objects. You can add apples to apples, but not apples to oranges!
Click the demo to see it in action!
📋 Step-by-Step Method
Follow these steps to combine like terms in any expression:
- 1Identify all the terms in the expression (separated by + and –).
- 2Group like terms together (same variable & same power).
- 3Add or subtract the coefficients of each group.
- 4Write the simplified expression, keeping unlike terms separate.
📐 Worked Examples
Example 1 – Simple
Simplify: 3x + 5x
→ Both terms have variable x → 8x
Example 2 – Two types
Simplify: 4x + 2y + 3x – y
→ Group x terms: 4x + 3x = 7x
→ Group y terms: 2y – y = y
→ Answer: 7x + y
Example 3 – With constants
Simplify: 2x² + 3x – x² + 5 – x + 1
→ x² terms: 2x² – x² = x²
→ x terms: 3x – x = 2x
→ constants: 5 + 1 = 6
→ Answer: x² + 2x + 6
🃏 Sort the Terms!
🎮 Drag & Drop Challenge
Drag each term into the correct group. Terms with the same variable belong together!
🟢 Basic Practice
🟡 Medium Challenge
🔴 Hard Boss Level
Hi! I'm Algebro! 🤓
Click me for a hint!
Click me for a hint!