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!
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
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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
Questions 1 thru 10 require you to simplify expressions involving powers or
indicies.
Here the basic things you have to know are:
1. where is a positive integer means a
multiplied by itself times.
2. is the same thing as
3. , this can be deduced from 1. above
3. , again this can be deduced from 1. above.
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Now lets try this on:
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And another:
This is because:
RonL
Originally Posted by MIKEJR
The basic rules you need for this (and most of the other problems) are:
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: