Expert: Lynn Houston - 7/12/2009

Question
1. Simplify:  30x^2y^3/-6x^3y^2

a) -5xy    b) -5y/x

c) 5x^2y   d) 1/-5xy

2. Simplify: [-2x^2/y] ^4

a) 8x^6/ y^4   b) 16/x^8

c)  -2x^6/ y^4   d) 8x^8/y^4

3. Simplify:  xy^2/2 ∙ 6x/y^2

a) 3x^2      b) 3x

c) 6x^2      d) 3x^3

4.  Simplify:  2x^2/y^3 [-y^3/2x^2] ^2

a) y^2         c)  y^3/2x^2

b) y^2/2x^2    d) –y^3/ 2xy^5

5.  Simplify: [-4a^2/3b] [-b/2a]

a) 4ab/9         b)2a/3

c) 4a^3b^2/3     d) 4b^2/6a

6.  Factor: 3y^2 - 5y + 8

a) prime                 b) (3y + 4)(y + 2)

c) (3y + 2)(y - 4)       d) (3y - 8)(y - 1)

9. Express as a simplified polynomial:  (4a + 5)^2

a) 16a^2 + 40a + 25       b) 16a^2 + 40a + 10

c) 8a^2 + 40a + 10        d) 16a^2 + 20a + 25

10.  Express as a simplified polynomial: (p^2 + 2)(p^2 - 3)

a) p^4 – 5p^2  + 6    b) p^4-p^2-6

c) p^4+5p^2  -6       d) p^4-5p^2-1

11. Express as a simplified polynomial: (-3c^2d)^3

a)  -9c^5d^3         b) -9 c^6 d^3

c)  -9c62d           d) -27 c^6 d^3

14. Write without using fractions: x^2/yz^4

a) x^2 y^ -1 z^ -4            b) x^ -2 yz^4

c) x^2 yz^4                   d) x^ -2 y^ -1 z^ -4

17.  Simplify: 6xy^ -1 / 2x^ -2 y^ -1

a) 3x                b) 3x^3

c) 3/x               d) -3/x^3

18. Simplify:  (3x^-2y) ^ -1 / (2xy6-2) ^0

a) 3xy                  b) 3y/ x^2

c) 1/ 3x^2y         d) x^2/3y

19. Simplify: [2pq^ -1/ 4q^2] ^-1

a) 2/pq          b) 8pq^3

c) p/ 2q          d) 2q^3/ p

20. Simplify: (ax^2)^-1 / a^-2 x^-2

a) a             b) 1/a

c) ax           d) ax^2

21. Replace the ? with a polynomial to make a true statement:

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

a) 2-x-3x^2           b) 2+x-3x^2

c) 2+x+3x^2         d) -1+ x

33. What is the product of a X 10^b when b = 0

34.  Simplify the expression using positive exponents:

-2a^6b^-5/ 6c^-3 b^-4a^2

35.  Find the value of the expression and write it in decimal form:

(4.6 X 10^-2) X (1.5 X 10^-1)


Answer
1. Simplify:  30x^2y^3/-6x^3y^2

b) -5y/x


2. Simplify: [-2x^2/y] ^4

Maybe you misstyped b or d?, because the answer to this is

16x^8/y^4


a) 8x^6/ y^4   b) 16/x^8

c)  -2x^6/ y^4   d) 8x^8/y^4


3. Simplify:  xy^2/2 ∙ 6x/y^2

a) 3x^2


4.  Simplify:  2x^2/y^3 [-y^3/2x^2] ^2

c)  y^3/2x^2



5.  Simplify: [-4a^2/3b] [-b/2a]

b)2a/3



6.  Factor: 3y^2 - 5y + 8

a) prime


9. Express as a simplified polynomial:  (4a + 5)^2

a) 16a^2 + 40a + 25



10.  Express as a simplified polynomial: (p^2 + 2)(p^2 - 3)

b) p^4-p^2-6



11. Express as a simplified polynomial: (-3c^2d)^3

d) -27 c^6 d^3



14. Write without using fractions: x^2/yz^4

a) x^2 y^ -1 z^ -4



17.  Simplify: 6xy^ -1 / 2x^ -2 y^ -1

b) 3x^3



18. Simplify:  (3x^-2y) ^ -1 / (2xy6-2) ^0

d) x^2/3y


19. Simplify: [2pq^ -1/ 4q^2] ^-1

d) 2q^3/ p


20. Simplify: (ax^2)^-1 / a^-2 x^-2

a) a



21. Replace the ? with a polynomial to make a true statement:

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

a) 2-x-3x^2



33. What is the product of a X 10^b when b = 0

x


34.  Simplify the expression using positive exponents:

-2a^6b^-5/ 6c^-3 b^-4a^2 = -a^4c^3/3b




35.  Find the value of the expression and write it in decimal form:

(4.6 X 10^-2) X (1.5 X 10^-1)