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Simplifying Algebraic Expressions

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Simplifying Algebraic Expressions

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📚 Part 1: Multiple Choice & Matching

1. Simplify: 3x + 2x

6x

5x

x

3x

2. Simplify: 5b - 3b + b

2b

3b

b

5b

3. Simplify: 3a - 2b + 4a + b

7a + b

7a - b

a - b

3a + 3b

4. Match each expression (left) with its simplified form (right). Draw lines to match.
A. 2x + 3x
B. 4(y + 2) - 2
C. 5m - 2m + 3
D. 3(x + 1) - x
1. 3m + 3
2. 2x + 3
3. 5x
4. 4y + 6

✏️ Part 2: Short Answers & Reasoning

5. Simplify: 2x + 3x - x
6. Use the distributive property and simplify: 2(a + b) + 3b - a
7. Expand and simplify: 4(2x + 3) - 2(x - 1)
8. Real-life: A school trip costs $6 per student plus a $20 bus hire. For n students the total is 6n + 20. Simplify the cost expression for two identical trips: 2(6n + 20)
9. Check all that are like terms with 3x:

2x

-x

3y

3x²

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