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Combining Like Terms

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Combining Like Terms worksheet preview

Combining Like Terms

Algebraic expressions illustration

📚 Part 1: Identifying Like Terms

Instructions: Circle the letter of each pair that shows like terms.

1. Which of these are like terms?

5x and 3x

4y and 7z

2a and 8b

6m and 9n

2. Which terms can be combined with 7ab?

3ab

5a

-2ab

4b

3. In the expression 4x² + 3x + 2x² - 5x, circle the like terms:

4x² + 3x + 2x² - 5x

✏️ Part 2: Simplifying Expressions

Instructions: Combine like terms to simplify each expression. Show your work.

4. 6x + 9x = _____________
5. 8y - 3y + 4 = _____________
6. 5a + 3b - 2a + 7b
7. 4m - 6n + 2m + 3n - m
8. 3(2x + 1) + 4x

🏆 Part 3: Challenge Problems

Instructions: Use the distributive property and combine like terms. Show all steps.

9. 2(3x - 4) + 5x - 7
10. 4a - 3(2a + 1) + 6
11. 5(m + 2n) - 3m + 4n - 2(n - m)
12. Explain in your own words: What makes two terms "like terms"?

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