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Math Help - In need of DESPERATE help

  1. #1
    MIKEJR
    Guest

    In need of DESPERATE help

    Can ANYONE please be so helpful as to help me with the following 100 equations.I am clueless about this and I have no idea on how to work out the equations..I would gladly appreciate it.. Please reply just by marking the number with the correct letter. Thanks and God Bless

    --------------------------------------------------
    Solve

    1. (-3ab)^3(2b^2)
    A18ab^6
    B -18a^3b^5
    C -27ab^4
    D -54a^3b^5
    E54a^3b^5
    F 9ab^3



    2. (2x^2)^2[(1/2)y^2]^2
    Ax^2y^2
    B x^4y^2
    C(1/2)xy
    D(1/4)xy
    E x^4y^4
    F 2x^2y^4



    3. (0.2x^3y^2)^2
    A 0.04x^6y^4
    B 0.4x^5y^4
    C 0.04x^5y^4
    D 0.2x^5y^2
    E 4xy
    F 0.4x^6y^4



    4. [(3/10)y^2]^2(10y^2)^2
    A (9/10)y^16
    B 9y^8
    C (3/100)y^16
    D3y^4
    E 90y^6
    F 9y^6



    5. [(-1/2)c^2b^3a](2a^2b^2c^4)
    A -a^2b^6c^8
    B a^4b^6c^8
    C -2a^2b^3c^2
    D ab^3c^2
    E ab^2c^4
    F -a^3b^5c^6

    6. (18a^5b^5c^10)/(15a^5c^15)

    A 3/c^5
    B 0
    C (6b^5)/(5c^5)
    D 1.2(abc^5)
    E 6ab^5/5c
    F 18b^5c^-5



    7.(r^-6s^-2)/[(r^2s^6)^-1]

    A r^4s^-4
    B 1/(r^4s^4)
    C 1/(r^4s)
    D r^-8s^-8
    E r^8s^8
    F s^4/r^4


    8. [(r^-4k^2)^2]/[(4k^2)^2]
    A 1/(16r^8)
    B 4r^-6k^-4
    C 1/(8k^4r^2)
    D 16r^8k^-4
    E 2r^4/k^16
    F (1/4)rk^2

    9. [(-b^-2c)^0]/(8a^-1c^2)


    A 0
    B 8ac^2
    C (1/8)abc
    D a/(8c^2)
    E b^2c/8a
    F b^2/c^6


    10. [(a^5b^2)^2]/[(a^-3b)^2]

    A a^22b^2
    B a^7b^2
    C a^12b
    D a^2b
    E a^8b^3
    F a^16b^2

    Express each number in proper scientific notation.


    11. (2 * 10^5)(4 * 10^-8)

    A 8.0*10^-3 = 0.008
    B 5.0*10^12 = 5000000000000
    C 0.5*10^-3 = 0.0005
    D 8*10^3 = 8000
    E 6*10^-3 = -6000
    F -2*10^-3 = -0.002

    12. (4 * 10^2)(2.5 * 10^6)
    A 1.6*10^-4 = .0006
    B 6.5*10^4 = 65000
    C 1.5*10^4 = 15000
    D 10*10^12 = 1000000000000
    E 1.6*10^8 = 160000000
    F 1.0*10^9 = 1000000000
    13.(3.1 * 10^-2)(2.1 * 10^-8)
    A 1.48*10^6 = 1480000
    B 1.48*10^-6 = 0.00000148
    C 1.0*10^-10 = 0.0000000001
    D 6.51*10^-10 = 0.000000000651
    E 6.51*10^-6 = 0.00000651
    F 5.2*10^6 = 5200000

    14. (3.1 * 10^5)(1.7 * 10^-3)
    A 1.4*10^-2 = 0.014
    B 5.27*10^8 = 52700
    C 1.82*10^8 = 182000000
    D 1.82*10^2 = 182
    E 5.27*10^2 = 527
    F 4.8*10^-8 = 0.000000048

    15.(75 * 10^6)(0.02 * 10^3)
    A 0.15*10^3 = 150
    B 3.75*10^6 = 375000
    C 150*10^7 = 1500000
    D 1.5*10^9 = 1500000000
    E 1.5*10^3 = 1500
    F 3.75*10^1 = 37.5



    Which term in each of the following has the lowest degree in x?

    16. 5x^2 - 3x^3 + 7 + 2x - a^3x + 8x^6
    A 5x^2
    B -3x^3
    C 2x
    D 7
    E -a^3x
    F 8x^6

    Place the following polynomials in the correct descending order in terms of x.

    17. 1 + x^3 + x^5 + x^2+ z^3x
    A1 + x^2 + z^3x + x^3 + x^5
    B x^5 + z^3x + x^3 + x^2 + 1
    C 1 + x^5 + x^3 + x^2 + x^3x
    D z^3x + 1 + x^2 + x^3 + x^5
    E x^5 + x^3 + x^2 + z^3x + 1
    F 1 + z^3x + x^2 + x^3 + x^5

    18.4x^3y + 3xy^4 - x^2y^3 + y^4 + 7x^4
    A 7x^4 + 4x^3y - x^2y^3 + 3xy^4 + y^4
    B -x^2y^3 + 3xy^4 + 7x^4 + y^4 + 4x^3y
    C 7x^4 + 4x^3y + 3xy^4 + x^2y^3 + y^4
    D 7x^4 + y^4 + 4x^3y - x^2y^3 + 3xy^4
    E y^4 + 3xy^4 - x^2y^3 + 4x^3y + 7x^4
    F 4x^3y + 3xy^4 - x^2y^3 + y^4 + 7x^4




    Place the following polynomials in the correct ascending order in terms of a.

    19. 11x^2 + 7ax^3 -3xa^4 + 2a^2 - 3a^3x

    A 7ax^3 + 11x^2 - 3xa^4 + 2a^2 - 3a^3x
    B 11x^2 + 7ax^3 + 2a^2 - 3a^3x - 3xa^4
    C 11x^2 + 7ax^3 -3xa^4 - 3a^3x + 2a^2
    D 7ax^3 -3xa^4 + 2a^2 - 3a^3x + 11x^2
    E -3xa^4 - 3a^3x + 2a^2 + 7ax^3 + 11x^2
    F 11x^2 + 2a^2 + 7ax^3 - 3a^3x - 3xa^4

    20.7a^3x - 8a^2x^3 + (1/5)x^5 + x^2a^7 + a

    A x^2a^7 + 7a^3x - 8a^2x^3 + a + (1/5)x^5<
    B a + 7a^3x - 8a^2x^3 + (1/5)x^5 + x^2a^7
    C a + 7a^3x - 8a^2x^3 + (1/5)x^5 + x^2a^7
    D (1/5)x^5 - 8a^2x^3 + x^2a^7 + a + 7a^3x
    E x^2a^7 + a + 7a^3x - 8a^2x^3 + (1/5)x^5
    F (1/5)x^5 + a - 8a^2x^3 + 7a^3x + x^2a^7




    Find each sum or difference.

    21. (17x - 9y) - 11y

    A8x - 9y
    B17x + 2y
    C17x - 20y
    D20y - 17x
    E17x - 2y
    F-3xy
    22. (3 - 2a + a^2) - (5 - 8a + a^2)

    A2 - 10a + 2a^2
    B -6a^2 -8
    C -2 - 10a - 2a^2
    D 8 + 6a + 2a^2
    E 10a - 8
    F -2 + 6a


    23. (n^2 - 5n + 3) + (2n^2 + 8n -10)
    A3n^2 + 3n - 7
    B-n^2 - 13n + 13
    C3n^2 - 3n + 7
    Dn^2 + 3n + 13
    E9n - 7
    F3n + 7

    24. (5ax^2 + 3a^2x - 5x) - (2ax^2 - 5ax + 7x)


    A3ax^2 + 8a^2x - 12x
    B7ax^2 -2ax + 2x
    C3ax^2 + 3a^2x - 5ax + 2x
    D3ax^2 + 3a^2x + 5ax - 12x
    E5a^2x^2 + 2x
    F11a^2x^2 - 12x
    25. (x^3 - 3x^2y + 4xy^2 + y^3) - (x^3 - 9xy^2 + 3x^2y + y^3)
    A2x^3 - 12xy^2 + 7xy^2 + 2y^3
    B6xy^2 + x^2y
    C-5xy^2
    D13xy^2 - 2y^3
    E0
    F-6x^2y + 13xy^2



    Solve the following equations


    26. w(w +12) = w(w + 10) + 4
    Aw = 2
    Bw = 1/2
    Cw = -2
    Dw = -1/5
    Ew = 5
    Fw = 0


    27. a(a - 6) + 2a = 3 + a(a - 4)
    Aa = 1/3
    Ba = 3
    Ca = -2
    Da = 0
    Etrue for all a
    Fno solution
    28.q(2q - 3) + 20 = 2q(q + 3)
    Aq = 0
    Bq = 1
    Cq = -20/9
    Dq = 20/9
    Eq = 9/20
    Fq = 7


    29. x(x + 8) - x(x + 3) - 23 = 3x + 11
    Ax = 8
    Bx = -6
    Cx = 1/2
    Dx = 4
    Ex = 17
    Fno solution

    30.y(y - 9) + y(y + 6) + 25 = 2y(y + 10) - 15
    Ay = 2/3
    By = 15
    Cy = -6
    Dy = 40/23
    Ey = 5/3
    Fno solution

    Find the product for each of the following (use FOIL).

    31.(3x + 4)(2x^2 - 5x + 10)

    A6x^3 - 15x + 40
    B6x^3 + 23x^2 + 50x + 40
    C24x^3 - 60x^2 + 120x
    D6x^3 - 7x^2 + 10x + 40
    E6x^2 + 7x^2 - 10x + 40
    F72x^3

    32.(4x + 5)(3x^2 + 8s -9)
    A12x^3 + 15x^2 + 32sx _ 45x
    B27x^2 + 32s - 9
    C12x^3 + 72sx - 45
    D12x^2sx
    E12x^3 + 32sx - 36x + 15x^2 + 40s - 45
    F9x^3 - 16sx + 12

    33.(3a + 5)(2a - a^2 + 1)

    A-3a^3 + a^2 + 13a + 5
    B6a^2 + 13a - 10
    C3a^3 - a^2 + 7a + 5
    Da^3 - a^2 + 6
    E6a^3 + 13a - 5
    Fcannot be determined

    34. (-2x^2 + 3x - 8)(3x^2 + 7x - 1)

    Acannot be determined
    B-6x^4 - 5x^3 - x^2 - 59x + 8
    C6x^4 + 5x^3 + x^2 + 53x + 8
    D-6x^4 + 5x^3 - x^2 + x - 8
    E-70x^4
    F-6x^2 - 5x + 8

    35.(-7b^3 + 2b - 3)(5b^2 - 2b + 2)

    Acannot be determined
    B35b^5 - 4b^2 - 6
    C-35b^5 + 14b^4 - 14b^3 + 15b^2 - 6
    D-35b^6 + 16b^4 - 17b^3 + 6
    E35b^6 + 14b^5 - 7b^3 + 11b + 9
    F-35b^5 + 14b^4 - 4b^3 - 19b^2 + 10b - 6



    Find the GCF of the three terms.
    .




    36. 8b^4, 5c, 3a^2b

    A1
    B c
    C3b
    D2a
    E2abc
    F0

    37. 14a^2b^2, 18ab^2, and 20a^3b^4

    A4ab
    B1
    C4b
    D6a^2b^2
    E7ab
    F2ab^2

    38. 7y^2 and 14y^2

    A7y
    By
    C2
    D7y^2
    E14
    F1

    39. 95x^2 and 304x^8

    A x^2
    B5x
    C17
    D19x^2
    E19x
    F1

    40. 220x^3y^2, 55x^2y, and 110xy

    A5x
    B10y
    C5xy
    D55xy
    E55
    Fx^2y^2








    Factor each expression. If the expression is in simplest form, please note that it cannot be factored.



    41. 36p^2q^2 - 6pq


    A p^2q^2(36+6pq)
    B pq(36p^2q^2+6)
    C -6pq(6pq+1)
    D 6pq(6pq-1)
    E 6pq(6p^2q^2)
    F 6pq(8pq+1)


    42. 17a - 51a^3z


    A17a(-3a^3z)
    B -a(17+51a^3z)
    Cz(17a-51a^3)
    Da(17-51a^2z)
    E17a(1-3a^2z)
    F cannot be factored


    43. m^3n^2 - 16m^2n^3 + 8mn


    Amn(m^2n-16mn^2+8)
    B m^2n^2(m-16n_8)
    C -mn(m^2n+16m-8)
    Dmn(m^3n-16m^2n+8)
    E nm(nm^2-16n^2m-8mn)
    F 2mn(-m^2n+8mn^2+4)


    44. 136xyz - 34wxy


    A xy(136z-34w)
    B 34xy(4z-w)
    C 34(4xyz-wxy)
    D 34xy(6z-w)
    E 17wxyz(8+2)
    F 34xy(w+2z)


    45. 28a^2b^2c^2 + 21a^2bc^2 - 7abc


    A 7abc(4a^2b^2c^2+3a^2c^2)
    B cannot be factored
    C 7(4a^2b^2c^2+3a^2bc^2-abc)
    D 7a^2b^2c^2(4+3b+1)
    E -7abc(4abc+3ac+1)
    F 7abc(4abc+3ac-1) br>




    Factor each polynomial by grouping.



    46. cx + 2c^2x - c - 2c^2


    A(cx-c)(2x-1)
    B(x_c^2)(1+c)
    Cc(1+2c)(x-1)
    D(x^2+1)(3c^3)
    Ec^2x^2
    Fcannot be factored


    47. 2x^4 - 5x^2y^2 - 2x^2y^2 + 5y^4


    A(5y^2-1)(x^4+y^2)
    Bx^4y^4
    Cx^2(2x^2-5y^2)-y^2(2x^2-y)
    D(x^3+1)(5y^2)
    E(x^2-5y^2)(2x+y^2)
    F(2x^2-5y^2)(x^2-y^2)


    48. 2ax + 6xc + ba + 3bc


    A(a+3c)(2x+b)
    Bba(cx-ab)
    C2x^2(b+c)
    D x(2a+6x)+a(b+3c)
    E12abcx
    F(a-3c)(b+2)


    49. 2my + 8x + 8m + 2xy

    A2(y+4)(2x-m)
    B(x-m)(2y+4)
    C2(my+4)+4(2m+xy)
    D2(y+4)(m+x)
    E8(x+m)+xy
    Fcannot be factored



    50. a^3 - a^2b + ab^2 - b^3
    A(a^2-b)(b+a^2)
    B(a+b)(a^2-b^2)
    Cab(a-b)
    D(b-7a^2)
    Ea^2b^2
    F(a-b)(a^2+b^2)






    51. x^2 - 4xy - 5y^2


    A(x-5y)(x+y)
    B(x-y)(x+5y)
    C(x-5)(y-x)
    Dx(x-4y)-5(y)
    E(x+5)(x-1)
    F (x-5y)(y-x)


    52. a^2 + 4ab - 3b^2


    A(a-3b)(a-b)
    B(a-b)(a+3b)
    C(a+b)(a-3b)
    D(a+b)(a+3b)
    Ea(a+4b)-3(-b)
    Fcannot be factored


    53. 6m^2 - 32m + 10


    A(3m+5)(2m-2)
    B (2m-5)(3m-2)
    C(6m-5)(m+2)
    D 2(3m-1)(m-5)
    E (3m-10)(2m-1)
    F (3m+10)(2m+5)


    54. 15x^2 - 13xy + 2y^2
    A (5x-2y)(3x-y)
    B (15x+y)(x-2y)
    C (x-2y)(15x-y)
    D (5x+y)(3x-y)
    E (5x-y)(3x-2y
    F cannot be factored


    55. 9k^2 + 30kn + 25n^2

    A (9k+5n)(k+n)
    B (3k-5n)(3k+5n)
    C (3k-5)(3k-5)
    D (3k+5n)^2
    E (9k+25)(k+1)
    F (9k-5)(9k-5)



    Factor each difference of squares.

    56. 9x^4y - 16y^3

    A (3x^2y-4y)(3x+4)
    B y(3x-4)(3x+4)
    C y(9x^2-4y)(9x^2+4y)
    D y(3x^2-4y)(3x^2+4y)
    E y^2(3x^2-4y^2)^2
    F cannot be factored

    57. -16 + 49x^2

    Anot a difference of squares
    B (-4-7x)^2
    C(-4-7)(4+7x)
    D (49x-4)(49x+4)
    E (7x-4)(7x+4)
    F (7x-4)(-7x+4)

    58. (1/64)x^2 - 36z^2


    A(x/8-6z)(x/8+6z)
    B (x/8-6)(x/8+6)
    C (x/4-36z)(x/4+36z)
    D (x-6z)64
    E (1/8)(x-36)
    F cannot be factored

    59. (1/4)n^2 - 16
    A (n-8)(n+8)
    B (n/2+4)(n/2-4)
    C (n-2)^2
    D (n-2)(n+2)
    E (n/4-4)(n/4+4)
    F (n-2)^4
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  2. #2
    Senior Member OReilly's Avatar
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    What is the meaning of posting a message like this?! I don't think that anyone will reply to this, because its obviously that you don't need help since you haven't even try to solve either one of this 100 equations!
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by OReilly
    I don't think that anyone will reply to this..
    Except for us

    RonL
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by MIKEJR
    Can ANYONE please be so helpful as to help me with the following 100 equations.I am clueless about this and I have no idea on how to work out the equations..I would gladly appreciate it.. Please reply just by marking the number with the correct letter.
    As you claim to be clueless about this we would be doing you no favours
    by just telling you the right answers.

    You may get lucky and someone may explain how to do some of these in
    detail.

    RonL
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Grand Panjandrum
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    Questions 1 thru 10 require you to simplify expressions involving powers or
    indicies.

    Here the basic things you have to know are:

    1. a^n where n is a positive integer means a
    multiplied by itself n times.

    2. a^{-n} is the same thing as 1/a^n

    3. a^n a^m=a^{n+m}, this can be deduced from 1. above

    3. (ab)^n=a^n b^n, again this can be deduced from 1. above.

    ===============================================

    Now lets try this on:

    <br />
(-3ab)^3(2b^2)=(-3)^3(ab)^3 (2b^2)=-27 (ab)^3 (2b^2)<br />
    <br />
=-27\ a^3 b^3 (2b^2)=-27\ a^3 b^3 2 b^2<br />

    <br />
=-54\ a^3 b^3 b^2=-54\ a^3 b^5<br />

    ================================================== ==

    And another:

    <br />
\frac{18a^5b^5c^{10}}{15a^5c^{15}}=\frac{18}{15}\ \frac{a^5}{a^5} \ b^5\ \frac{c^{10}}{c^{15}}=\frac{18}{15} \ b^5\ \frac{1}{c^{5}}=\frac{6\ b^5}{5\ c^5}<br />

    This is because:

    <br />
\frac{c^{10}}{c^{15}}=c^{10}\ c^{-15}=c^{10-15}=c^{-5}=\frac{1}{c^5}<br />

    RonL
    Last edited by CaptainBlack; April 13th 2006 at 02:54 AM.
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  6. #6
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by CaptainBlack
    As you claim to be clueless about this we would be doing you no favours
    by just telling you the right answers.

    You may get lucky and someone may explain how to do some of these in
    detail.

    RonL
    I'm just impressed by the amount of time used in typing it.

    -Dan
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  7. #7
    Grand Panjandrum
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    Quote Originally Posted by topsquark
    I'm just impressed by the amount of time used in typing it.

    -Dan
    Cut and paste from a online document?

    RonL
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  8. #8
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    That would explain the large spaces in between some of the questions... Though I'm baffled by the fact there's only 59 questions when he said there'd be 100...
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  9. #9
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by MIKEJR
    1. (-3ab)^3(2b^2)
    A18ab^6
    B -18a^3b^5
    C -27ab^4
    D -54a^3b^5
    E54a^3b^5
    F 9ab^3
    (-3ab)^3(2b^2)=(-3)^3a^3b^3*2b^2
    -27*2*a^3b^{3+2}=-54a^3b^5

    The basic rules you need for this (and most of the other problems) are:
    (ab)^n = a^nb^n
    (a^n)^m=a^{nm}
    a^na^m=a^{n+m}

    The trick is to break the problem into small steps based on the above formulae. Give some of those problems a try and let us know how it goes.

    -Dan

    Another useful formula: a^{-n}=\frac{1}{a^n}
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  10. #10
    Grand Panjandrum
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    Quote Originally Posted by malibupete
    That would explain the large spaces in between some of the questions... Though I'm baffled by the fact there's only 59 questions when he said there'd be 100...
    One is base 59 and the other base 100

    RonL

    (alternative explanation - there were 100 in the original document but he only
    copied the first 59, but did not notice).
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  4. please help, desperate!
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 14th 2009, 06:06 AM
  5. In desperate need of some help!!
    Posted in the Algebra Forum
    Replies: 6
    Last Post: September 28th 2007, 04:42 AM

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