Linear equations Test Paper

Solve the below linear equation problems

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