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Combining Like Terms Worksheet

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Combining Like Terms Worksheet worksheet preview

Combining Like Terms Worksheet

Algebraic expressions illustration

📚 Part 1: Identify and Combine Like Terms

Instructions: Simplify each expression by combining like terms. Show your work.

1. 3x + 5 + 7x - 2
2. 4a - 3b + 6a + 2b
3. 5y + 3 - 2y + 8
4. 10m - 4n + 3m + 9n - 7

🎨 Part 2: Term Sorting Activity

Instructions: Circle or color-code the like terms in each expression, then simplify.

5. 6p + 3q - p + 2q + 1

Circle like terms with the same color, then simplify:

6. 8r - 5s + 4r + s - 10

Circle like terms with the same color, then simplify:

7. 2x² + 5x - 3x² + 4x - 6

Circle like terms with the same color, then simplify:

🌍 Part 3: Real-World Applications

Instructions: Read each problem, write an expression, and simplify by combining like terms.

8. A store sells pencils for $2x each and notebooks for $3x each. If a customer buys 4 pencils and 7 notebooks, write an expression for the total cost and simplify.
9. Emma collected stamps. She has (5y + 8) stamps from one collection and (3y + 12) stamps from another. Write an expression to represent the total stamps and simplify.
10. A farmer has a rectangular field with length (4x + 3) feet and width (2x - 1) feet. Write an expression for the perimeter and simplify. (Remember: Perimeter = 2l + 2w)
11. Challenge: Simplify the expression: 3(2x - 4) + 5x - 7

Hint: First distribute, then combine like terms.

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