Tuesday, 5 March 2013

Algebra... Different "Faces" of Algebra (I)

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

Enter your suggested lengths in comments.

60 comments:

  1. This comment has been removed by the author.

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    1. This comment has been removed by the author.

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  2. (x+1)+(x+8)+(x-11)+1
    Check x+1+x+8+x-11+1

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  3. This comment has been removed by the author.

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  4. x km, x/2 km, (x/2-1)km, x km

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  5. 0.5x,1x,0.5x,1x + (-1)km
    check 0.5x+0.5x+1x+(-1)
    =(3x-1)km

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  6. Replies
    1. Your answer is wrong Jian Qing. x km+x km is 2x km. 2x km + (x+10 km) is 3x +10 km. 3x + (x-9 km) is 4x + 1 km.

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  7. (X-10000, X-20000 , X+30000 , X-1)

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  8. the lengths of the 4 roads are : x - 5km, x km, x + 1km, 3km

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  10. x km + x km + 20km + x - 19km = 3 x -1

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    1. Correct. But x-19km should be in brackets and answer is missing the units.

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    2. You're missing out on your units and the brackets for the fractions.

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  12. 0.5x KM, 0.5x KM, 0.5 x KM, 1.5 x KM -1

    check: 0.5x +0.5x +0.5 + 1.5x-1 = 3x-1

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

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