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Bookworm14

  • one year ago

Help! I am confused as to how to work this out, much less where her error was made!

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  1. Bookworm14
    • one year ago
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  2. anonymous
    • one year ago
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    What do you think the answer is?

  3. phi
    • one year ago
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    think of the parens as a package 10( 3x -1) means you have 10 "packages" of 3x-1 if you have 10 of (3x-1) how many 3x's do you have ? how many -1's do you have ?

  4. Bookworm14
    • one year ago
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    that would mean there are 30 3x's and 10 -1's ?

  5. phi
    • one year ago
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    you would have 10 3x's and 10 of -1's we show that by multiplying: 10*3x + 10* -1 (3x means 3*x, and 10*3*x is the same as 30*x or 30x)

  6. phi
    • one year ago
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    in other words 10(3x -1) is 30x + -10 which can be written 30x-10

  7. Bookworm14
    • one year ago
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    Yes, I understand that! (I am great at problems like this, ive just never seen them set up in this particular form before?? ) continue, i am writing all of this down! :)

  8. phi
    • one year ago
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    you will use this "rule" a lot. (called distributive law) you will also use it backwards,i.e. be able to undo the multiply and change 30x -10 to 10(3x-1)

  9. phi
    • one year ago
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    the answer to this problem is mistake was to not multiply both terms by the "factor"

  10. Bookworm14
    • one year ago
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    ohh so they did not properly distibute the whole problem?

  11. phi
    • one year ago
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    yes, they did 10(3x-1) --> 10*3x -1 which means they did not do 10*-1

  12. Bookworm14
    • one year ago
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    I know, that is what I meant, I just did not know how to word it xD

  13. Bookworm14
    • one year ago
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    Thank you Phi ! you really helped me !

  14. phi
    • one year ago
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    you said it ok

  15. phi
    • one year ago
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    I would say "they did not distribute the 10" it is the number out front (the 10), which they called the "factor" which is "distributed" in English, distribute means "hand out" so you can think of the 10 as being "handed out" to each term inside the parens. (of course you have to remember you multiply 10 times each term)

  16. Bookworm14
    • one year ago
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    okay! thank you for such a thorough explanation and not just giving out answers!

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