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Equivalent Expressions Worksheet

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Equivalent Expressions Worksheet worksheet preview

Equivalent Expressions Worksheet

Math expressions illustration

📚 Part 1: Identifying Equivalent Expressions

I can recognize expressions that are equivalent by combining like terms.

1. Which expression is equivalent to 3x + 5x?

8x

15x

3x + 5

8x²

2. Which expression is equivalent to 2(y + 4)?

2y + 4

2y + 8

y + 8

6y

3. Which expressions are equivalent to 7a - 3a + 2? (Check all that apply)

4a + 2

2 + 4a

6a

4a + 2 + 0

4. Circle the pair of expressions that are equivalent:

A) 6b + 3 and 9b

B) 4m - m and 3m

C) 2(n + 1) and 2n + 1

D) 5k + k and 6k

✏️ Part 2: Simplifying Expressions

I can simplify algebraic expressions to show equivalence.

5. Simplify each expression by combining like terms:

a) 4x + 7x = _____________

b) 9y - 2y + 3 = _____________

c) 3(z + 2) = _____________

d) 5a + 2b - 3a + b = _____________

6. Show your work to simplify: 2(3x + 1) + 4x

Final answer: _____________

7. Create your own equivalent expression for 6p + 9:

💭 Part 3: Explaining Equivalence

I can explain why two expressions are equivalent mathematically.

8. Explain in your own words why 5t + 3t and 8t are equivalent expressions:
9. Extension Challenge: Create two different expressions that are both equivalent to 12w + 6. Show why they are equivalent.

Expression 1: _______________________

Expression 2: _______________________

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