### Chap 5 Algebra... Different "Faces" of Algebra (II)

The total length of 4 roads is (3x - 1) km. What are the possible lengths of the 4 roads in kilometres?

e.g. The length of the 4 roads are: x km, x km, x-7 km, 6 km
Check: x + x + (x - 7) + 6 = 3x - 1

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3. x km + 8km + x km + x-9 km

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6. The length of the 4 roads are: x - 1 km, x - 2 km, x-3 km, 5 km

Check: (x-1) + (x-2) + (x-3) + 5 = 3x - 1

7. x + x + (x-4) + 3

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9. x+x+(x-10)+9=3x-1

10. 3x + 10 - 12 + 1 = 3x -1

11. 2x + (x-7) + 5 + 1

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13. 0.5x km, 0.5x km, 0.5x km, 1.5x-1km

14. x + x + (x - 6) + 5

15. x km, x km, x-3 km, 2km

16. x km, x km, (x -1) km, 2 km

17. 2x+x+4x-(4x-1)

18. 2x+10km + (x-11km)+ x km

19. 3x-1 = x + x + {(x-1)÷2} + {(x-1)÷2}

20. x + x + x-10 + x+9 = 3x-1

21. x km, x km, x km - 10, 9km

22. (x⁴÷x³) + x + (x-46) + 45

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24. X km + X km + X-5 km + 4km

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27. x + x + (x-4) + 3km = 3x-1 km

28. road 1: x km road 2: x km road 3: x km road 4:x+1-x km

check: x+x+x+x+1-x= 3x-1km

29. x km + x km + (x-9) km + 8 km

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31. x km + 2x km +(-7 km)+6 km

32. x km+ 12km+(x-11)km+x km

-PONDA!~ :D

33. Please refer to the hardcopy with feedback on the class notice board.

Just to pick a few from the above...

1. Kai Check:
Among the 4 lengths, one of them is negative? Check again.

2. Bryan:
The sum of lengths you gave was 3x + 10 - 12 + 1
Are you implying the 4 lengths are 3x, 10, -12 and 1? Then one of them is negative. Check again.