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anonymous

  • one year ago

Which property match with the equation? Properties: Addition property of equality, Subtraction property of equality, Multiplication property of equality, Division property of equality, Simplifying, and Distributive property. Equations: 9u-2 = -81 (subtraction property I think?) 9u-27+27 = -81+27 9u = -54 9u/9 = -54/9 (division property I think?) u = -6

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  1. phi
    • one year ago
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    the first equation looks like it has a typo

  2. anonymous
    • one year ago
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    Ah yes, It's supposed to be 9u-27 = -81 !

  3. phi
    • one year ago
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    going from 9u-27+27 = -81 + 27 to the next line 9u= -54 looks like simplifying

  4. anonymous
    • one year ago
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    Both look like simplifying?

  5. phi
    • one year ago
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    if you started with a line 9(u-3)= -81 then going to 9u-27= -81 would be distributing

  6. phi
    • one year ago
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    The question is a bit goofy, because it the the "step" you take to get from one line to the next that uses the property. I guess we label the "result line" with the property. like this 9u+27-27 = -81+27 9u = -54 Simplify

  7. phi
    • one year ago
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    can you post your labels for each line?

  8. anonymous
    • one year ago
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    Yes. Basically the question is asking which equation matches with which property.

  9. anonymous
    • one year ago
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  10. phi
    • one year ago
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    I meant, what is your answer? It looks like they start with an equation, and they "solve for u" and they want the reason that allows you to write the next line as you work out the solution

  11. phi
    • one year ago
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    For example if you started with a line 9(u-3)= -81 then the reason you are allowed to write the next line as 9u-27= -81 would be distributive property

  12. anonymous
    • one year ago
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    I'm not sure how to answer the question then.

  13. phi
    • one year ago
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    distribute in English means "hand out" and in math 9(u-3) we can "hand out" the 9 to each term inside the parens (we multiply 9 times each term inside the parens) in other words, 9(u-3) = 9u -3*9 = 9u-27 because we use the distributive property

  14. phi
    • one year ago
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    9(u-3)= -81 9u-27 = -81 <-- Distributive Property 9u-27+27 = -81+27 9u = -54 9u/9 = -54/9 (division property I think?) YES u = -6

  15. phi
    • one year ago
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    now to get from the second line to the third line: 9u-27 = -81 <-- Distributive Property 9u-27+27 = -81+27 <--- what did we do here ?

  16. anonymous
    • one year ago
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    Subtraction property? And the third to fourth is simplify?

  17. phi
    • one year ago
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    what is different between this line: 9u-27 = -81 and this line: 9u-27 +27 = -81 +27 ?

  18. anonymous
    • one year ago
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    They add 27 to both sides

  19. phi
    • one year ago
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    adding 27 to both sides is ok, it keeps the equation true. (if we add 27 to only 1 side, that does not work) To remember that it is ok to add the same thing to both sides, people gave a name to the rule that says it's ok: addition property

  20. phi
    • one year ago
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    9(u-3)= -81 9u-27 = -81 <-- Distributive Property 9u-27+27 = -81+27 <-- Addition Property of Equality 9u = -54 <---Simplify 9u/9 = -54/9 (division property I think?) YES u = -6 <-- Simplify

  21. anonymous
    • one year ago
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    But we're using simplify twice.

  22. phi
    • one year ago
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    Yes. I think this is a problem where you have to show how to get from one line to the next, and you have to pick out the correct reason. In this case, we don't use every reason in the list.

  23. phi
    • one year ago
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    and we use the same reason two different times. That's ok

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