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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
📚 Part 1: Multiple Choice
1. Simplify: 5x + 2x − 3
7x − 3
10x − 3
3x − 3
7(x − 3)
2. Simplify using the distributive property: 3(x + 4) + 2
3x + 14
3x + 8
3x + 2
3x + 12 + x
3. Which expression simplifies to 8y + 5?
3y + 5 + 5y
8(y + 5)
8y + 25
(8y) + (5y)
4. Check all that are like terms with 2a:
4a
−3b
2a
7
5b
✏️ Part 2: Short Answers & Worked Examples
5. Combine like terms: 4x + 7y + 3x + 2
6. Expand and simplify: 2(3x + 5) + 4x
7. Expand then simplify: 3(a + 4) + 2a
8. Word problem — write and simplify an expression:
A gardener plants 2n rose bushes in spring, then plants 3n more in autumn and buys 5 extra bushes. Write the total and simplify.
9. Challenge: Use distribution and combining like terms. Show your steps:
Simplify 2(4x − 3) + 3(x + 2) and explain one step in a sentence.
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