1. the width w of a rectangular swimming pool is x+4. the area a of the pool is 2x^3-29+12. what is an expression for the length of the pool?
a. 2x^2+8x+3
b. 2x^2-8x-3
c. 2x^2-8x+3
d. 2x^2+8-3

2. simplify x/6x-x^2
a. 1/6-x; where x = 0,6
b. 1/6-x; where x=6
c. 1/6; where x=0
d. 1/6

3. simplify -12x4/x4+8x^5
a. -12/1+8x; where x= -1/8
b. -12/1+8x; where x= -1/8,0

4. simplify x+5/ x^2+6x+5
a. 1/x+1; where x= -1
b. 1/x+1; where x=-1, -5

5. simplify x^2-3x-18/x+3
a. x-3
b. x-6; where x= -3
c. x-6; where x= 6
d. 1/x+3; where x= -3

6. simplify 2/3a . 2/a^2
a. 4/3a^2; where a=0
b. x-6; where a=0
c. 4/3a^3; where a=0
d. 4/3a^2

7. multiply x-5/4x+8 times (12x^2+32x+8)
a. (3x+2)/ 4(x-5)
b. (x-5) (3x+2)/ 4
c. (x-5) (3x+2)
d. (x-5) (12x+8)

8. divide. (x^2-16/x-1) / x+4
a. x-4/x-1
b. x+4/ x-1
c. (x+4) (x-3)/ x-1
d. x-4/x+1

9. divide. x^2+2x+1/x-2 / x^2-1/ x^2-4
a. (x+1) (x+2)/ x-1
b. (x-1) (x-2)/ x+1
c. (x+1) (x-2)/ x+1
d. (x-1) (x+2)/ x-1

10. divide (24w^10 + 8w^12) divide by (4x^4)
a. 6w^6+2x^8
b. 6w^6 + 8w^12
c. 24x^10+2w^8
d. 6w^10 + 2w^12

11. divide (-6m^9-6m^8-16m^6) divided by (2m^3)
a. -3m^9-3m^8-8m^6
b. -3m^6-6m^8-16m^3
c. -3m^6-3m^5-8m^3
d. -3m^6-3m^5-16m^3

12. simplify into one fraction -4x/x+7 - 8/x-7
a. -4x+8/x+7
b. x-8/ x
c. -4x-8/x+7
d. x+7/-4x

13. simplify into one fraction 3/x-3 - 5/x-2
a. -2x+9/ (x-3) (x-2)
b. -2x/ (x-3) (x-2)
c. 2x+9/ (x-3) (x-2)
d. 2x+9 / ( x-3) (x-2)

14. simplify into one fraction 9/x-1 - 5/ x+4
a. 4x+5/ (x-1) (x+4)
b. 4x+41/ (x-1) (x+4)
c. 4/ (x-1) (x+4)
d. 14/ (x-1) (x+4)

15. simplify into one fraction -3/x+2 - -5/x+3
a. -8x-19/ (x+2) (x+3)
b. -8/ (x+2) (x+3)
c. 2/ (x+2) (x+3)
d. 2x+1/ (x+2) (x+3)

16. solve 4/x + 5/x = -3
a. x=27
b. x=3
c. x=-3
d. x=-27

17. solve 1/3x-6 - 5/x-2 = 12
a. x= 34/9
b. x= -29/18
c. x= -34/9
d. x=29/18

18. what is the solution of the equation ? 1/x - 6/x^2 = -12
a. x=3/4 or x= -2/3
b. x= 3/4 or x=2/3
c. x= -3/4 or x= 2/3
d. x= -3/4 or x= -2/3

19. dorothy and rosanne are baking cookies for party, working alone rosanne can finish the cookies in 6 hours, dorothy can finished them in eight hours working alone. how long would it take for them to bake the cookies if they were working together ?
a. 7.00 hours
b. 3.43 hours
c. 0.29 hours
d. 14.00 hours

20 . the pressure, p , for gas varies inversely with it's volume, v ,. pressure is measured in units of pa. suppose that a particular amount of gas as initially at a pressure of 104 pa at a volume of 108 l. if the volume is expanded to 432 l, what will the new pressure be ?
a. 26 pa
b. 27 pa
c. 416 pa
d. 1728 pa

21. do the data in that table represent a direct variation or an inverse variation?
x: 1,3,5,10
y: 4,12,20,40

a. direct variation y=4x
b. direct variation xy=1/4
c. inverse variation xy= 4
d. inverse variation xy=1/4

22. what are the excluded values of the function? y= 3/4x+64
a. x=0
b. x=-64
c. x=-16
d. x=-8