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Simplifying Expressions Worksheet

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Simplifying Expressions Worksheet

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📚 Part 1: Multiple Choice

1. Which expression is equivalent to 3x + 2x?

5x

6x

5x²

3x + 2x

2. Simplify: 4a + 3 + 2a

9a

6a + 3

4a + 5

9a + 3

3. Which of these expressions cannot be simplified further?

5y + 3y

2m + 4n

7p + 2p + 1

6k + k

4. What is 8b - 3b simplified?

5b

11b

5

8b - 3b

✏️ Part 2: Fill in the Blanks

5. Complete the simplification:

6x + 4x = __________

6. Simplify this expression:

9y + 2 + 3y = __________ + 2

7. Fill in the missing term:

5m + __________ = 8m

8. Complete the calculation:

12n - 7n = __________

🧮 Part 3: Word Problems

9. Sarah has 3x sweets and Tom gives her 5x more sweets. Write and simplify an expression for the total number of sweets Sarah has now.
10. A rectangle has a length of (4y + 2) cm and the width is 3y cm shorter than the length. Write and simplify an expression for the width.
11. In a shop, apples cost 2a pence each and bananas cost 3a pence each. If I buy 4 apples and 2 bananas, write and simplify an expression for the total cost in pence.

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