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Math Help - Help Finding equivalent expression

  1. #1
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    Help Finding equivalent expression

    Hi guys, this is my first post here, but I have a feeling I will be back pretty often as I am completely lost when it comes to math. Right now I am just studying before I even take my placement test for college, because I don't necessarily want to be completely clueless even for a placement test.

    Anyway:

    tē- 59t + 54 - 82tē + 60t is equivalent to:

    I am really lost. I know that getting the answer to this problem has something to do with order of operations but if someone could teach me the correct way to go about solving this problem I would REALLY appreciate it. I have an entire sheet that I got off the internet which is a college entrance exam practice test, so that is where I am getting these problems.


    Thanks in advance!
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  2. #2
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    Quote Originally Posted by KimuraJoe View Post

    Anyway:

    tē- 59t + 54 - 82tē + 60t is equivalent to:
    Grouping like terms

    -81t^2+t+54
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  3. #3
    Super Member bigwave's Avatar
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    combine like terms

    looks like they want you to just combine like terms
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    it can be factorized....but the two solutions for x look terrible
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  5. #5
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    Quote Originally Posted by ukorov View Post
    it can be factorized....but the two solutions for x look terrible
    what do the solutions for t look like?
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  6. #6
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    Quote Originally Posted by pickslides View Post
    what do the solutions for t look like?
    - \frac{1 \pm \sqrt{17497}}{162}
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  7. #7
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    Yeah, thanks, I have the answer here in my answer key I was more interested in the process. Like I said, it's been a very long time and when I googled on how to do it this is what I found; Equivalent expressions

    That guy just uses alot of terminology I don't understand and I was hoping one of you guys could explain it a little better for someone that isn't experienced with mathematics at all. I haven't taken a math class in over 3 years and when I was in a math class I wasn't really interested in learning so now I'm paying for it.
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  8. #8
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    Quote Originally Posted by KimuraJoe View Post
    Hi guys, this is my first post here, but I have a feeling I will be back pretty often as I am completely lost when it comes to math. Right now I am just studying before I even take my placement test for college, because I don't necessarily want to be completely clueless even for a placement test.

    Anyway:

    tē- 59t + 54 - 82tē + 60t is equivalent to:

    I am really lost. I know that getting the answer to this problem has something to do with order of operations but if someone could teach me the correct way to go about solving this problem I would REALLY appreciate it. I have an entire sheet that I got off the internet which is a college entrance exam practice test, so that is where I am getting these problems.


    Thanks in advance!
    It has to do with "combining like powers". For example, t^2- 82t^2= (1- 82)t^2= -81t^2.
    Last edited by mr fantastic; November 25th 2009 at 04:30 AM. Reason: Added close latex tag.
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  9. #9
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    Quote Originally Posted by HallsofIvy View Post
    It has to do with "combining like powers". For example, t^2- 82t^2= (1- 82)t^2= -81t^2.
    Sorry like I said, I'm essentially brand new at this. Where does that 1 come from? When I looked at the answer that's one of the main things I did not understand, is how you get 81t^2 from t^2-82t^2 do you just assume that t = 1 ?
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  10. #10
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    Quote Originally Posted by KimuraJoe View Post
    Sorry like I said, I'm essentially brand new at this. Where does that 1 come from? When I looked at the answer that's one of the main things I did not understand, is how you get 81t^2 from t^2-82t^2 do you just assume that t = 1 ?
    Do you know how to simplify a - 82a?
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  11. #11
    Senior Member Stroodle's Avatar
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    1 is the coefficient of t^2 as 1\times t^2 = t^2

    You should check out Practical Algebra Lessons it explains the basics really well in my opinion.
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  12. #12
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    Quote Originally Posted by KimuraJoe View Post
    Sorry like I said, I'm essentially brand new at this. Where does that 1 come from? When I looked at the answer that's one of the main things I did not understand, is how you get 81t^2 from t^2-82t^2 do you just assume that t = 1 ?
    You need to make sure you are comfortable with distributivity, it is a fundamental property of algebra. It states, in simple terms:

    yx + zx= x(y + z)

    Let's look at a simple problem and apply the rule. All I have done is stated the above, where y = 2 and z = 3a:

    2x + 3ax = x(2 + 3a)

    Now, if you get this, then consider the following:

    x+3x^2=x(1+3x)

    Once again, all we've done is set y=1 and z=3x. So we just multiply the x outside the brackets with each term inside the brackets: x \cdot 1 = x, and x \cdot 3x = 3x^2

    I would really make sure you understand three rules before attempting any of these problems:

    Commutativity
    Associativity
    Distributivity

    We basically use these three rules to solve most types of algebraic problems.
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