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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 + 2y
6y
12y
5y
4y
4. Which of the following expressions cannot be simplified further?
5x + 3x
2x + 7y
4(x + 2)
6x² + 2x²
✏️ Part 2: Simplify These Expressions
5. Simplify: 2x + 3y + 5x - y
6. Expand and simplify: 3(2x + 4) + 2x
7. Simplify: 5a + 3b - 2a + 4b - a
8. Expand and simplify: 2(3x - 1) + 4(x + 2)
🧮 Part 3: Word Problems
9. A rectangle has length (3x + 2) cm and width (x + 4) cm. Write a simplified expression for the perimeter of the rectangle.
10. Sarah buys x pencils at 50p each and (x + 3) pens at £1.20 each. Write a simplified expression for the total cost in pounds.
11. A car park charges £2.50 per hour for the first 2 hours, then £1.50 for each additional hour. If someone parks for (x + 2) hours where x ≥ 1, write a simplified expression for the total parking cost.
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