Chapter 4: Algebra... Help! What's Wrong?

Jane did the following:
  • 3a + b = 3ab
  • 2s + 4t = 6st
Do you think Jane is correct in her algebraic manipulations?
If yes, please write down examples to show that her answer is correct.

If not, explain to Jane her mistakes and help her to correct.

Enter your response in Comments.

5 comments:

  1. no, its not x but + so she can't write her ans. that way, she should write (3a+b) and (2s+4t) as her ans.

    ReplyDelete
  2. no as 3ab=3xaxb and 6st=sxtx6 which is not what she is trying to find. The correct answers should be 3a+b and 2s+4t.

    ReplyDelete
  3. 1.No
    because
    3a+b=3*a+b
    =a+a+a+b
    and
    3ab=3*a*b
    =(a+a+a)*b
    =a*b+a*b+a*b

    2.No
    because
    2s+4t=s+s+t+t+t+t
    and
    6st=6*s*t
    =(s+s+s+s+s+s)*t
    =s*t+s*t+s*t+s*t+s*t+s*t

    ReplyDelete
  4. No because lets take a for apple and b for banana if you add 3 apples with a banana it wouldnt give you 3 apple banana's it would give 3 apples and one banana if you apply the same logic here
    3a + b = 3a+b
    2s + 4t = 2s+4t

    ReplyDelete
  5. These cannot be the answers unless a,b,s,and t are 0.

    ReplyDelete