Travel Expression Simplification

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✈️ Part 1: Basic Travel Expressions

Simplify these expressions by combining like terms. Think of each variable as different travel items!

1. A traveller packs 3 shirts + 5 shirts + 2 pairs of socks. Simplify: 3s + 5s + 2p

2. On a road trip, you travel 4 kilometres + 7 kilometres + 3 litres of petrol. Simplify: 4k + 7k + 3p

3. Hotel costs: 2 nights + 6 nights + 4 meals. Simplify: 2n + 6n + 4m

4. Travel expenses: 5 dollars + 3 tickets + 8 dollars + 2 tickets. Simplify: 5d + 3t + 8d + 2t

These expressions have more terms to combine. Remember: only like terms can be added together!

5. Flight booking: 3 passengers + 7 bags + 2 passengers + 5 bags + 1 passenger. Simplify: 3p + 7b + 2p + 5b + p

6. Tour costs: 4 adults + 6 children + 2 lunches + 3 adults + 8 lunches. Simplify: 4a + 6c + 2l + 3a + 8l

7. Transport mix: 5 trains + 3 buses + 2 trains + 4 taxis + 6 buses. Simplify: 5t + 3b + 2t + 4x + 6b

Challenge questions with coefficients and multiple variables. Show your working!

8. Complex itinerary: 7x + 3y + 5x + 8z + 2y + 4x + z

9. Multi-destination costs: 12a + 8b + 5c + 3a + 11b + 7c + 2a

10. Ultimate travel expression: 9p + 4q + 6r + 8p + 3s + 7q + 2r + 5s + p

11. Challenge: If v represents the number of vehicles and d represents days, simplify: 8v + 12d + 5v + 3d + 7v + 9d + 2v