Practice worksheet for simplifying rational expressions with 30 algebraic problems.

1. $\frac{2}{3x^2}$
2. $\frac{3x}{4y^2}$
3. $\frac{1}{(x+1)^2}$
4. $(3x-2)^2$
5. $-1$
6. $\frac{3}{4y}$
7. $\frac{1}{3y}$
8. $\frac{4x^2}{3}$
9. $\frac{x^2}{2}$
10. $-\frac{2x^2}{3}$
11. $\frac{a}{c}$
12. $\frac{x}{3}$
13. $\frac{2}{x}$
14. $\frac{x+5}{x-7}$
15. $\frac{x+1}{x-6}$
16. $\frac{x-4}{x+3}$
17. $\frac{x-5}{x-1}$
18. $\frac{x-4}{x-5}$
19. $\frac{x-5}{x+1}$
20. $\frac{x+3}{x-1}$
21. $-\frac{x+6}{x+4}$
22. $\frac{3-y}{y+5}$
23. $\frac{3x(x+7)}{x^2+5x-14}$
24. $\frac{x-9}{2(x-9)(x+1)} = \frac{1}{2(x+1)}$ (for $x \ne 9$)
25. $\frac{5x-1}{5x+3}$
26. $\frac{2x-1}{2x-1} = 1$ (for $x \ne \frac{1}{2}$)
27. $-\frac{x+6}{x+2}$
28. $\frac{2(x-2)}{x+6}$
29. $\frac{2x-7}{x+3}$
30. $2x-2$