Expert: Richard J. Raridon - 5/13/2007

Question
1.) Solve
x/7-1/2=x-11/2

2.) Which of the following is not a polynomial?
a.) 4x^3+5x-1    b.) 2x-1/x    c.) 3xy^2 +xy   d.) 24

3.) add express in simpliest form
x-13/x^2-x-12  + 3x-3/x^2-x-12

4.) simplify 108^1/2

5.) find length of x for triangle, express in simplified radical form,  20cm, 15 cm, x

6.) Divide
24m^4n^2-8m^2n^3 + 4m^3n / 4m^2n

7.) True or false?  The degree of a trionomial is never 4?

8.) Solve  x^2 =-6x

9.) Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5.  How much will Dave receive?

10) Factor  12x^4y^3 + 16x^3y^3 - 20x^3y^4

11.) Write in simpliest form  5r^3st^2 / -10r^6s^3t

12) Subtract express in simpliest form
5x-3/6 - x+3/6

13) the length of a rectangle is 1 cm more than 4 times its width.  If the area of the rectangle is 72cm^2, find the dimensions of the rectnagle to the nearest thousandth.

14) Find distance between (-3,-2) and (1, 4)

15) Factor completely 12x^3-3xy^2

16.) Evaluate if possible  (9/16)^1/2

17.) Simplify
(3/x-5 +1)  / (1-4/x-5)

18.) the directions on a concentrated cleaner state that 3 tbsp. of concentrate make 345 ozs.of cleaning fluid.  how many ozs. of cleaning fluid will 2 tbsps. of concentrate make?

Answer
1) multiply each term by 14 to get 2x-7 = 14x-77 so x= 35/6
2) d
3) 4/(x+3)
4) 6(3^1/2)
5) If it's a right triangle, x = 5(7^1/2)
6) 6m^2n -2n^2 +m
7) T
8) x = -6
9) $10,000
10) 4x^3y^3(3x +4 -5y)
11) t/(-2r^3s^2)
12) You need to write it (5x-3)/6 -(x+3)/6 = x-1
13) L = 4W+1 and LW = 72 so L = 17.478, W = 4.119
14) d^2 = 4^2 +6^2 so d = 2(13^1/2)
15) 3x(4x^2 -y^2) = 3x(2x+y)(2x-y)
16) 3/4
17) (x-2)/(x-9)
18) 345(2/3) = 230