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Simplifying Algebraic Expressions

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Simplifying Algebraic Expressions

Algebraic expressions with variables and numbers

📚 Part 1: Identifying Like Terms

1. Circle the like terms in each expression:

a) 4x + 3 + 2x + 7

b) 5y + 2z + 3y + 8

c) 6a + 4 + 2b + 3a + 1

2. Which of the following are like terms? Check all that apply:

3x and 5x

4y and 7z

8 and 12

2a and 6b

3. What is the coefficient of 7x?

7

x

7x

1

✏️ Part 2: Simplifying Expressions

4. Simplify by combining like terms:

a) 6m + 2 + 4m - 5 = ________________

b) 3b + 5 + 2b + 7 = ________________

5. Use the distributive property to simplify:

a) 4(2x - 3) + 3x = ________________

b) 2(5y + 3) + 4y - 6 = ________________

6. Simplify the expression: 3a + 5 - 2(a - 1)

Answer: ________________

🎯 Part 3: Challenge Problems

7. Simplify: 10 + 3(2c + 4) - 7c

Answer: ________________

8. Explain in your own words how to combine like terms:
9. Create your own expression with at least 4 terms that can be simplified to 5x + 8:

Your expression: ________________________________

Show your work to prove it simplifies to 5x + 8:

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