# Sample quiz on solving rational equations Main home here.

1. Solve the equation $\frac{1}{x}=\frac{1}{2}$
$x=1$
$x=2$
$x=\frac{1}{2}$
$x=\sqrt{2}$
2. Solve the rational equation $\frac{1}{x+1}=\frac{1}{1-x}$.
$x=0$
$x=1$
$x=2$
$x=-1$
3. Solve the rational equation $\frac{2}{x}=\frac{x}{2}$
$x=2$
$x=\pm 2$
$x=\pm 1$
$x=-2$
4. Solve the equation $\frac{1}{x+1}=2$
$x=-\frac{1}{2}$
$x=-2$
$x=\frac{1}{2}$
$x=\frac{1}{3}$
5. Solve the equation $\frac{3x}{x+1}=1$
$x=\frac{1}{3}$
$x=\frac{1}{2}$
$x=-\frac{1}{2}$
$x=-\frac{1}{3}$
6. Solve the rational equation $\frac{1}{x^2-x+3}=\frac{1}{5}$
$x=-2,1$
$x=-1,2$
$x=-1$
$x=-2$
7. Solve the rational equation $\frac{1}{x}+\frac{1}{x-1}=\frac{3}{2}$
$x=2$
$x=\frac{1}{3}$
$x=\frac{1}{2}$
$x=2,\frac{1}{3}$
8. Solve the rational equation $\frac{1}{x}-\frac{1}{x-1}=-\frac{1}{12}$
$x=-4,3$
$x=-3,4$
$x=-3$
$x=-4$
9. Solve the rational equation $\frac{x^2+x+4}{x^2+x-1}=2$
$x=-3$
$x=-2$
$x=-2,3$
$x=-3,2$
10. Solve the rational equation $\frac{1}{x}=\frac{1}{x+1}$
$x=0$
$x=1$
$x=2$
No solution.