Exam #2 practice- Answer key

1. $64x^6y^4$
2. $32z^5y^15$
3. $\dfrac{y^2z}{4}$
4. $\dfrac{5v}{2u}$
5. $\dfrac{9y^2z^7}{x^3}$
6. $\dfrac{z^2}{4x^4u^5}$
7. $-13y^2+7y+2$
8. $u^2+6$
9. $n=\dfrac{a}{Kb}-c$
10. $m=-\dfrac{5n}{Z}+A$
11. $x=6,-6$
12. $x=-6,-5$
13. $3x^2+17x-28$
14. $8y^2+18y-5$
15. $42v^3-5v^2+16v+3$
16. $5x^3+4x^2-47x+42$
17. Quotient:$3x^2+6x+3$; Reminder: $9$
18. Quotient:$4x^2-2x-1$; Reminder: $-5$
19. $(3v+y)(-9+v)$
20. $(x-9y)(y-3)$
21. $(7w-x)(w^2+4)$
22. $2(y+2)(y-12)$
23. $6(x-2)(x-8)$
24. $(3x-2)(x+2)$
25. $(z-2)(2z+9)$
26. $(4x-1)(2x-9)$
27. $(3x+4)^2$
28. $(4w-3)^2$
29. $(3v+7)(3v-7)$
30. $(9+5v)(9-5v)$
31. $2x^2(y+6x)(y-6x)$
32. $3xy(5x+y)(5x-y)$
33. $(3-2x)(9+6x+4x^2)$
34. $(3u+5)(9u^2-15u+25)$
35. $x=0$ or $x=-6$
36. $v=0$, or $v=19$
37. $w=-\dfrac{2}{5}$ or $w=-3$
38. $x=-\dfrac{1}{5}$ or $x=3$
39. Length of the shorter leg: 15 m; length of the longer leg: 20 m and the length of the hypotenuse: 25 m;
40. Length of the shorter leg: 3 ft; length of the longer leg: 4 ft and the length of the hypotenuse: 5 ft;
41. Length = 6 ft; width = 3.5 ft.
42. Length = 18 m; width = 5.5 m.
43. $\dfrac{(x+1)(x-2)}{3(x-1)}$
44. $\dfrac{3(3x+2)}{5x+7}$
45. $\dfrac{3x+1}{3(7x+2)}$
46. $\dfrac{-4}{x-1}$
47. $\dfrac{10}{5x-2}$
48. $\dfrac{7-6x}{7-15x}$
49. $\dfrac{1-10x}{35x+1}$
50. $\dfrac{x+7}{8}$
51. $\dfrac{6}{x+5}$
52. $v=-2$
53. $y=4$
54. 189 milligrams
55. 15 gallons
56. 48 green marbles.
57. 203 employees
58. Leila swam at a rate of 5 kilometers/hour when there was no current.
59. The speed of the wind was 50 miles/hour.