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Simplifying Algebra Expressions
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Simplifying Algebra Expressions
📚 Part 1: Expanding Brackets
Use the distributive property to expand these expressions. Show your working.
1. Expand: 3(x + 4)
2. Expand: 2(y + 5) + 3
3. Expand: 4(a - 2)
4. Expand: 5(2x + 1) - 7
✏️ Part 2: Collecting Like Terms
Simplify these expressions by collecting like terms. Show your working.
5. Simplify: 3x + 5 + 2x - 1
6. Simplify: 7y - 3 + 4y + 8
7. Simplify: 2a + 6b - a + 3b
8. Simplify: 5m - 2n + 3m - 7n + 4
🌟 Part 3: Challenge Questions
These questions combine expanding brackets and collecting like terms.
9. Simplify: 2(x + 3) + 4x - 1
10. Simplify: 3(2y - 1) + 5(y + 2)
11. Extension: A rectangle has length (3x + 2) metres and width 4 metres. Write a simplified expression for its perimeter.
12. Explain in your own words what it means to "collect like terms".
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