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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
📚 Part 1: Multiple Choice (Choose the best answer)
1. Simplify: 3x + 5x
8x
15x
2x
3 + 5x
2. Which statement shows the distributive law?
2(a + 3) = 2a + 6
(ab)c = a(bc)
a + b = b + a
a(b + c) = ab + c
3. Simplify: 4(2x − 3) − (x − 5)
7x − 7
9x − 15
8x − 7
7x + 7
4. Which are equivalent to 2(x + 3)? (Tick all that apply)
2x + 6
x + 5
6 + 2x
2(x) + 3
✏️ Part 2: Short Answers and Working (Show your steps)
5. Simplify fully: 5y + 3 − 2y + 7
6. Use the distributive law and simplify: −3(x − 4) + 2x
7. Use associative and commutative laws to simplify: (2a + 3a) + (4a − a)
8. Factorise (write in simpler form): 6m + 9
9. Worded problem: Sam buys 2 packs, each pack contains (3x + 4) pens. He gives away x pens. Write and simplify an expression for how many pens he has left.
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