1. [math]\frac{7xy}{3x}\cdot\frac{15x^2y}{21x^2y^3}[/math]

2. [math]\frac{x^2+9x+20}{x^2+6x+9}\cdot\frac{x+3}{x+4}[/math]

3. [math]\frac{5n^2-n}{n+1}\cdot\frac{n+1}{3n}[/math]

4. [math]\frac{x+3}{12}\div\frac{x+3}{3}[/math]

5. [math]\frac{24xy}{15ab}\div\frac{4x^2y}{3a^2b}[/math]

6. [math]\frac{x^3}{x^2-64}\div\frac{x^2}{x+8}[/math]

7. [math]\frac{3}{5}+\frac{4}{7x}[/math]

8. [math]\frac{4}{3x}+\frac{5}{2x}[/math]

9. [math]\frac{6}{x^2-4}+\frac{2}{x-2}[/math]

10. [math]\frac{5x}{x^2-25}-\frac{2}{x-5}[/math]

11. [math]\frac{a^3b^2}{\left(-ab\right)^3}[/math]

12.[math]\frac{\left(2xy\right)^4}{\left(x^2y\right)^2}[/math]

13. [math]\frac{11}{x-5}=\frac{x+3}{x-5}[/math]

14. [math]x+4=\frac{21}{x}[/math]

15. [math]\frac{x-5}{3x}=\frac{x+4}{3x+1}[/math]

16. [math]\frac{7}{x+4}=\frac{3}{x-5}[/math]

17. [math]\frac{3}{x-3}=\frac{x+2}{x-3}[/math]

18.[math]\frac{\frac{2}{x-1}+\frac{2}{x+5}}{\frac{15}{x^2+4x-5}}[/math]

19.[math]\frac{\frac{2}{x}-\frac{4}{3x}}{\frac{1}{2x}+\frac{3}{4x}}[/math]

20. The speed of the current in the Mississippi River is 5 miles per hour. A boat travels downstream 26 miles and returns in 10 and 2/3 hours. What is its speed in still water?

21. Jane can type 75 pages in 8 hours. Ted can type the same number of pages in 13 hours. If Jane and Ted work together, how long will it take them to type 75 pages?[br]

22. One hose can fill the local YMCA kids pool in 6 hours. A second, newer hose can fill the pool in 4 hours. If both hoses are used, how long will it take to fill the pool?[br]