Friday, 21 February 2014

Investigation: Algebra

There are two questions for you to attempt over the weekend.

Question 1 - To be done on a piece of writing paper.
Question 2 - To be answered in Comments section.


QUESTION 1
Investigate the following question and prove that they are similar / different.


QUESTION 2
Which is larger, 5 + n or 5n?

27 comments:

  1. Depends on what n is.
    If n is 1, then 5+n is bigger as the answer will be 6 and 5n will be 5.
    If n is 3, then 5+n is smaller as the answer is 8 and 5n will be 15.

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  2. It relies on what n is,as it can vary.
    Case 1:When n is equal to 1,then 5 + n is greater as 5 + 1 is greater than 5 x 1.
    Case 2:When n is equal to 2,then 5 x n is greater as 5 x 2 is greater than 5 + 2.


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  3. It depends.
    If n is 1, 5+1=6 and 5x1=5, therefore 5+n is bigger.
    If n is 2, 5+2=7 and 5x2+10, therefore 5n is bigger.

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  4. It depends all on what n is.
    If n is 1, 5+n is larger as it now 6.
    BUT if n is more than 1, 5n will be larger as it would be 5xn instead of 5+n

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  6. It depends on what n is.
    If n is 1 then 5+n is bigger than 5n
    If n is 5, then 5n is bigger than 5+n

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  7. It depends on the value of n
    Example 1: Let N be 0
    5+0=5 5x0=0
    If n is 1 or lesser , 5+n will be larger than 5n
    _________________

    Example 2 : Let n be 2
    5+2=7 5x2=10
    If n is greater than 1, 5n would be larger than 5+n

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  8. The answer is not possible to tell.
    If n=0, 5 x 0 = 0 and 5 + 0 = 5
    If n=3, 5 x 3 = 15 and 5 + 3 = 8

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  9. Not possible to tell
    If n=1
    5+1=6(5+n)
    5x1=1(5xn)
    In this case,(5+n) is greater than (5xn)
    If n=3
    5+3=8(5+n)
    5x3=15(5xn)
    In this case,(5+n) is smaller than (5xn)
    So it depends

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  10. If n is equal to 1, 5+n is larger than 5n.5+n would be equal to 6 and 5n would be equal to 5 so 5 + n is larger.
    If n is larger than 1, 5n would be larger than 5+n. e.g. 5x7 would be equal to 35 and 5+7 would be equal to 12 so 5n would be larger

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  11. There can be three answers:

    1.(n)=1 : 5+n is bigger than 5n as 5+n will be 6 while 5n will be 5.
    2.(n)=1.25 : 5+n is equal to 5n as both are 6.25.
    3.(n)=2 : 5+n is smaller than 5n as 5+n will be 7 while 5n will be 10

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  12. If n is 1:
    5 + n=6
    5n=5 x 1=1
    So 5+n is larger.
    If n is 2
    5n=5 x 2 =10
    5+2=7
    So 5n is larger

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  13. It really depends on what n is
    If n is 1, then 5+1=6 and 5x1=5
    so 5+n will be bigger.
    If n is 6, then 6+5=11 and 5x6=30
    so 5n will be bigger

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  14. It depends on the value of n is. (E.G.)
    If n = 0/1,
    5+n= 5+0= 5
    or
    5+n=5+1=6
    and
    5n=5xn=5x1=5
    or
    5n=5xn=5x0=0
    through this the 5+n will be bigger if n=bigger than 1.(E.G.)
    If n=3.
    5+n=5+3=8
    and
    5n=5x3=15
    through this the 5n will be bigger.

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  15. It really depends on the value of (n). Lets's say for example if (n) is 1 ,
    1)5+n=5+1
    =6
    2)5(1)
    =5
    so 5+(n) is bigger

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  16. The answer really depends on the value of n. Here are two scenarios on what can happen
    SCENARIO 1:n = 1
    5+1=6
    5 multiply 1 = 5
    so 5+n is bigger
    SCENARIO 2
    n =2
    5+2=7
    5 multiply by 2 = 10
    so 5n is bigger.

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  17. Answer for question 2:
    scenario 1:(n=1)
    5+n=6
    5n=5 times n=5

    scenario 2:(n=5)
    5+n=10
    5n= 5 times n=25

    So, the answer to this question really depends on the value of n

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  18. It depends on what "n" equals to

    Case #1
    If '"n" = 1

    5+1 =6
    5 x 1 =5
    Therefore 5+"n" is larger

    Case 2
    'n'=2
    5+2=7
    5(2)=10
    Therefore 5n is larger

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  20. it depends on what n is.
    #1:(n is 1)
    5+n=5+1=6 5n=5 x 1 +5

    #2:(n is 3)
    5+n=5+3=8 5n=5 x 3=15

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  21. It depends on the value of n.
    Example 1 5n>5
    -In this case 5n>n+5.
    Example 2 5n<5
    -In this case 5n<5+n

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  22. In this case, it really depends on what the value of "n" really is. There is two possible scenarios:

    #1: If "n" = 1
    5+n = 5+1 = 6
    5n = 5x1 = 5

    In this case, 5+n is larger than 5n.

    #2: If "n" = 5
    5+n = 5+5 = 10
    5n = 5x5 = 25

    In this case, 5n is larger than 5+n.

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  23. If n is 1 or 0
    e.g
    0 x 5=0
    0+5=5
    So n+5>5n

    If n > 1
    e.g.
    2x5=10
    5+2=7
    So 5n > 5+n

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  24. It actually depends.
    #1 n=1
    n+5=1+5
    =6
    5n=5*1
    =5
    In this case, n+5>5n
    #2 n=2
    n+5=2+5
    =7
    5n=5*2
    =10
    In this case, 5+n<5n

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