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Math Help - Test Study Help

  1. #1
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    Test Study Help

    we recently had a test in my algebra class, as the end of 1st quarter test..almost everyone bombed it, including me. the best score in the entire class was 17/20 questions. we're allowed one retake a quarter, and i of course want to do this test, since i got a 12/20 and the second worst was a 18/20. i dont know if we have to redo the entire test, or just the ones we missed like we do with pretests, but i want to make sure i know everything just in case. that being said, i want to see some problems worked so i can make sure i know how..im only gonna post the ones i missed on both the pretest and real test, to save time.
    Multiplication of Real Numbers.
    1. Find the Product.
    5x(-4x)(-3)(-1x)

    4. Evaluate.
    (|5 - x|) - 2x^2
    when x = -3

    Distributive Property.
    5. Use distributive property to simplify.
    (-2 + 4x)(-5x)

    6. Simplify.
    3x - (6 + 2x)

    7. Simplify.
    x^2 - 3(4 - x^2) - 7x

    8. Simplify the Expression.
    3x(5 - x) - x(2x - 3)

    Division of Real Numbers.
    12. Evaluate.
    3a - 2b
    ab
    when a = negative five over three
    b= negative one over two

    Review.
    20. Simplify
    1and2/3 - 1/6
    3and1/2

    Bonus question.
    Solve for X.
    5x+3(x+4)=28

    underlined numbers are numerators, and things like "2/3" and "1and1/2" are fractions. thanks in advance.

    btw, im going to do volunteer work for two hours, so i wont respond for a while. thanks again.
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  2. #2
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    The last three as follows:


    12. 12. Evaluate.
    3a - 2b
    ab
    when a = negative five over three
    b= negative one over two

    PLug in

    \frac {3(-5/3) - 2(-1/2}{-5/3 * -1/2}

    Multiply

    (3* -5/3) - 2(-1/2)= -15/3 + 2/2

    Simplify the fractions.


    Then divide your answer by -5/3 * -1/2.

    20. Simplify
    1and2/3 - 1/6
    3and1/2

    Add 3/3 to 2/3 because you have \frac 1{2}{3}. You can't deal with that kind of fraction (the name escapes me).

    Find the common denominator and put all numbers on the numerator as the number. Translation: the bottom of the fractions equal.

    10/6- 1/6 over 21/6. Now you multiply the top and bottom fraction (21/6) by the reciprocal of the bottom fraction (6/21).

    Simplify is possible.

    Bonus question.
    Solve for X.
    5x+3(x+4)=28

    5x + 3x +12 = 28
    8x +12=28
    8x=16
    x=2





    Finally, simplify if possible.




    Add all the top numbers together.





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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Nightfire View Post
    we recently had a test in my algebra class, as the end of 1st quarter test..almost everyone bombed it, including me. the best score in the entire class was 17/20 questions. we're allowed one retake a quarter, and i of course want to do this test, since i got a 12/20 and the second worst was a 18/20. i dont know if we have to redo the entire test, or just the ones we missed like we do with pretests, but i want to make sure i know everything just in case. that being said, i want to see some problems worked so i can make sure i know how..im only gonna post the ones i missed on both the pretest and real test, to save time.
    Multiplication of Real Numbers.
    1. Find the Product.
    5x(-4x)(-3)(-1x)
    if you can't see it all at once, take it a pair at a time:

    5x(-4x)(-3)(-x) = -20x^2(3x) = -60x^3

    4. Evaluate.
    (|5 - x|) - 2x^2
    when x = -3
    recall that the absolute values always makes things positive, so if when you work out what's in the absolute value signs, you get a negative answer, just change it to positive and continue

    when x = -3

    |5 - x| - 2x^2 = |5 - (-3)| - 2(-3)^2 = |8| - 18 = 8 - 18 = -10



    Distributive Property.
    5. Use distributive property to simplify.
    (-2 + 4x)(-5x)
    take the -5x and multiply everything in the brackets

    (-2 + 4x)(-5x) = 10x - 20x^2

    now simplify


    6. Simplify.
    3x - (6 + 2x)
    3x - (6 + 2x) = 3x - 6 - 2x = x - 6

    7. Simplify.
    x^2 - 3(4 - x^2) - 7x

    8. Simplify the Expression.
    3x(5 - x) - x(2x - 3)
    try these on your own (do you know how to factorize quadratics?
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  4. #4
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    Awesome, thanks! Hopefully I can get enough study time in today to get better than i did on the retake tomorrow. And i do not know how to factorize quadratics, we havent gotten that far yet. the last thing we did was Probability.
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  5. #5
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    alright, question mostly based on paranoia right now.. its the day before the retake, and i want to make sure i have this right.
    i know addition and subtraction needs labels identical, for example 5x+7x is possible, but 3+6x is not..is it the same for multiplication and division? if im remembering correctly, it works like: 3 2x = 6x, and 3 x = 3x, but if the label effect works here i could potentially miss several problems. i know i should know, but i want to make absolutely sure. thanks
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    [quote=Nightfire;79760]alright, question mostly based on paranoia right now.. its the day before the retake, and i want to make sure i have this right.
    i know addition and subtraction needs labels identical, for example 5x+7x is possible, but 3+6x is not..is it the same for multiplication and division? [quote]i'm not exactly sure what you're talking about here

    if im remembering correctly, it works like: 3 2x = 6x, and 3 x = 3x, but if the label effect works here i could potentially miss several problems. i know i should know, but i want to make absolutely sure. thanks
    yes, that is correct


    i hope this isn't too late, i never saw your question yesterday
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