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Algebraic Properties Practice
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Algebraic Properties Practice
🎯 WALT: Use algebraic properties to simplify expressions
Success Criteria: I can recognise and apply commutative, associative, and distributive properties
📚 Part 1: Identifying Properties
1. Which property is shown by: 3 × x = x × 3?
Commutative Property
Associative Property
Distributive Property
2. Which property is shown by: 2(x + 5) = 2x + 10?
Commutative Property
Associative Property
Distributive Property
3. Which property is shown by: (a + b) + c = a + (b + c)?
Commutative Property
Associative Property
Distributive Property
✏️ Part 2: Applying Properties
4. Use the commutative property to rewrite: 5 + y
Answer: _______________
5. Use the distributive property to expand: 4(x + 3)
6. Simplify using any property: 2x + 5 + 3x + 1
7. Real-life problem: You buy 3 t-shirts at $x each and 3 caps at $y each. Write two equivalent expressions for the total cost using the distributive property.
Expression 1: _______________
Expression 2: _______________
🌟 Extension Challenge
8. Simplify completely: 2(3x + 4) + 5(x - 1)
9. Explain in your own words why the commutative property is useful when solving algebraic expressions.
10. Create your own example showing the associative property with variables:
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