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Math Help - Can you please help me with Year 9 Algebra 1!

  1. #1
    Member Sazza's Avatar
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    Can you please help me with Year 9 Algebra 1!

    Hey, i really hope you can help me..
    I'v just started going Algebra, but the problem with me is that i lack motivation, and my last test i got an E+ but it wasn't lack of trying. I do Distance Education and i recorded some of my Telephone Lessons, and i have a exercise book full of notes, but i still cannot grasp maths...
    My Substitute Teacher left this comment "This shows lack of knowledge and effort"
    But it's not true... I'm dyslexic i feel in maths, and well. I'm ashamed to admit it, but last year i could care a tuppance about what happened to me, and i let my friends do it for me and my sister, but now when i really want to learn how to do maths properly and not feel like a dunce... I'v put myself into a sticky situation...
    I'm hoping over a period of time, with me using this Forum, you may be able to help me develop my skills
    So... I have this Question... I'm doing Algebra 1. And the Question is... Well:
    -------------
    Old Mrs. Payne once said:
    "I was x years old in the year x2" (the 2 is like squared)
    When was she born?
    How old was she in 1980?
    In What year will she be a century?
    How old will she be in n years from now.

    Then they have this here which i don't quite understand:
    The Story so far!
    Algebra uses pronumerals, that is letters which take the place of numbers. In the puzzle, x represents Mrs. Paynes age, 44.
    3x + 4 is an expression made up of 2 terms: 3x and 4. The Coefficient of x is 3. (How do we know that?)
    ab - 5c + 2 has three terms: ab, -5c and 2. The Coefficient of ab is a. (again, how did we find that?)
    The Coefficient of c is -5 (where did that come from?)
    2x+5=19 is an equation. It always has an equals sign and can usually be solved to find the value of the pronumeral that makes the equation true.
    The Conventions used in arithmetic (what is that?) expressions are also used in algebraic expressions, with one exception. In Algebraic expressions the multiplication signs is often omitted.
    5 x t may be written 5t (yeah i know that) The numeral is always written first.
    a x b may be written ab
    1/2 x y or y divided by 2 may be written as y/2
    ---------------
    Okay and then they ask me, to "Write the expression for:" a) the sum of 6 and 7 (b) the sum of n and 5 etc.
    HOW DO I UNDERSTAND THIS?
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  2. #2
    Member Sazza's Avatar
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    *sigh*

    I really wish i didn't have a strict maths teacher, who i can talk to without being foolish, and i won't find myself in a hard position, then i'd like maths.. But i had an Indian Maths Teacher, who i could hardly understand and got angry and grumpy so easily. And i'v had worst teacher, but can you blame me for feeling tramatized!
    I'm so utterly and completely STUPID
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Sazza View Post
    Hey, i really hope you can help me..
    I'v just started going Algebra, but the problem with me is that i lack motivation, and my last test i got an E+ but it wasn't lack of trying. I do Distance Education and i recorded some of my Telephone Lessons, and i have a exercise book full of notes, but i still cannot grasp maths...
    My Substitute Teacher left this comment "This shows lack of knowledge and effort"
    But it's not true... I'm dyslexic i feel in maths, and well. I'm ashamed to admit it, but last year i could care a tuppance about what happened to me, and i let my friends do it for me and my sister, but now when i really want to learn how to do maths properly and not feel like a dunce... I'v put myself into a sticky situation...
    I'm hoping over a period of time, with me using this Forum, you may be able to help me develop my skills
    So... I have this Question... I'm doing Algebra 1. And the Question is... Well:
    -------------
    Old Mrs. Payne once said:
    "I was x years old in the year x2" (the 2 is like squared)
    When was she born?
    How old was she in 1980?
    In What year will she be a century?
    How old will she be in n years from now.

    Then they have this here which i don't quite understand:
    The Story so far!
    Algebra uses pronumerals, that is letters which take the place of numbers. In the puzzle, x represents Mrs. Paynes age, 44.
    3x + 4 is an expression made up of 2 terms: 3x and 4. The Coefficient of x is 3. (How do we know that?)
    ab - 5c + 2 has three terms: ab, -5c and 2. The Coefficient of ab is a. (again, how did we find that?)
    The Coefficient of c is -5 (where did that come from?)
    2x+5=19 is an equation. It always has an equals sign and can usually be solved to find the value of the pronumeral that makes the equation true.
    The Conventions used in arithmetic (what is that?) expressions are also used in algebraic expressions, with one exception. In Algebraic expressions the multiplication signs is often omitted.
    5 x t may be written 5t (yeah i know that) The numeral is always written first.
    a x b may be written ab
    1/2 x y or y divided by 2 may be written as y/2
    ---------------
    Okay and then they ask me, to "Write the expression for:" a) the sum of 6 and 7 (b) the sum of n and 5 etc.
    HOW DO I UNDERSTAND THIS?
    Quote Originally Posted by Sazza View Post
    I'm so utterly and completely STUPID
    For starters, you aren't stupid. In my experience no one is, so please stop putting yourself down. That kind of attitude is only going to harm you! And there's no reason to be ashamed of being dyslexic: many people are and have gotten help and have succeeded quite nicely.
    You can do it, just don't give up.

    As to your question, it's quite simple and odds are that you are trying too hard to figure it out.

    a) the sum of 6 and 7 6 + 7

    (b) the sum of n and 5 n + 5

    Whenever you have the "sum" of two numbers, you are adding. When you have the "product" you are multiplying.

    So, for examples:
    1) The product of 3 and 5 is "3 times 5" otherwise written as
    3*5, or 3 x 5, or (3)(5)

    2) The product of n and 7 is "n times 7." But usually variables (what you referred to as a "pronumeral") are written after constants (numbers) so we would have:
    7n

    Hope it helps. And welcome to the forum!

    -Dan
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  4. #4
    Super Member
    earboth's Avatar
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    Quote Originally Posted by Sazza View Post
    ...So... I have this Question...

    Old Mrs. Payne once said:"I was x years old in the year x2" (the 2 is like squared)
    When was she born?
    How old was she in 1980?
    In What year will she be a century?
    How old will she be in n years from now....
    Hello, Sazza,

    1. welcome!

    from the text of your problem we know that Mrs. P. was born before 1980. Thus we are searching a square which is smaller than 1980. The only one which make some sence is:

    44 = 44 * 44 = 1936
    (45 > 1980 and 43 = 1849 that means Mrs. P. must be one of those living deads)
    Therefore Mrs. P's age is 44
    and she was born in 1936 - 44 = 1892

    1980 is 44 years later than 1936. Therefore Mrs. P's age is:
    44 + 44 = 88 years old

    12 years later she'll be 100 years old and that will happen in 1980 + 12 = 1992

    Mrs. P was born in 1892. Today we have 2007 that means Mrs. P is 115 years old already. In n years she'll be 115 + n years old.

    From these results you easily can see that "Mrs. Payne" is the name of a turtle.
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  5. #5
    Senior Member DivideBy0's Avatar
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    Melbourne, Australia
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    In any expression, you will have several terms. The reason they are terms is that they are seperated by a '+' or '-' sign. For instance, if you had the product a * t, at is the term, but individually, a isn't a term, and t isn't a term.
    In the case of a * t, because you have a product, instead of a sum, you call a and t, coefficients of each other.
    Let's try some examples to get ourselves a bit more acquainted:

    1. Find the coefficient of x:
    2x,
    5x + 1,
    -3x - 3x^2 (x^2 indicates x squared),
    x/3 (x/3 indicates x divided by 3),
    x,
    -x.

    Answer:
    2,
    5, (the 1 is outside the product, so it needn't be considered)
    -3, (remember, x^2 and x are Not like terms, so disregard -3x^2)
    1/3, (here the coefficient is not a whole number, but that doesn't matter)
    1, (When there is nothing in front, it means 1)
    -1. (A bit trickier :P)

    2. Find the coefficient of ab^2 (b^2 indicates b squared):
    23ab^2, (ab^2)/2,

    In this particular case, try to envision ab^2 as a block, which will stick together no matter what. Deal with it as you would 1 pronumeral.

    Answer:
    23
    1/2 (remember since there is no number infront of ab^2 in the numerator, it is 1 :P)

    You can also be asked to find the coefficient of the number in the product, but this is very rarely necessary. For instance in 2x, you could be asked to find the coefficient of 2, and that would be x.

    Also, arithmetic is just the general word for simple, everyday maths. It includes adding, subtracting, multiplication, and division. Arithmetic problems are problems that primarily make use of these 4 elementary operations, and extensively.
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  6. #6
    Super Member
    earboth's Avatar
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    Hello, Sazza,

    I've attached the beginning of your personal mathematical dictionary.

    If you come across a new definition, a new method, a new term, ... add a new line so you may have a look at this dictionary if you feel uncertain about the meaning of a term.
    Attached Thumbnails Attached Thumbnails Can you please help me with Year 9 Algebra 1!-math_dictionary.gif  
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  7. #7
    Member Sazza's Avatar
    Joined
    Apr 2007
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    Australia
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    Red face Thanks..

    Hello!
    Thanks soo much for helping me... I'v written down all that you have said in my exercise book, and now i just have to imprint it on my mind... Thanks again.
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