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Simplifying Expressions Worksheet
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Simplifying Expressions Worksheet
📚 Part 1: Multiple Choice
1. Simplify: 3x + 5x
8x
15x
8x²
3x + 5x
2. Which expression is equivalent to 4(2x + 3)?
6x + 7
8x + 12
8x + 3
4x + 12
3. Simplify: 7y - 3y + 2
4y + 2
6y
4y - 2
10y + 2
4. Which of these expressions are fully simplified? (Tick all that apply)
5x + 3
2x + 4x
7y - 2
3(x + 1)
✏️ Part 2: Simplify These Expressions
5. Simplify: 6a + 4a - 2a
6. Expand and simplify: 3(x + 4) + 2x
7. Simplify: 5m + 3n - 2m + 7n
8. Expand and simplify: 2(3y - 1) - (y + 5)
🧮 Part 3: Word Problems
9. A rectangle has length (3x + 2) cm and width (x + 5) cm. Write a simplified expression for the perimeter of the rectangle.
Remember: Perimeter = 2 × length + 2 × width
10. Sarah buys x packets of crisps at £1.20 each and (x + 3) chocolate bars at 80p each. Write a simplified expression for the total cost in pence.
11. Explain in your own words what it means to "simplify an expression" and why it is useful in mathematics.
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