Is it possible for the forward and reverse reactions to have different reaction orders?
Why is this strange?

Consider:

$$\ce{2A &lt;=&gt;[$k_1$][$k_{-1}$] A_2}$$

Forward rate is second order: $k_1[\ce{A}]^{2}$.

Reverse rate is first order $k_{-1}[\ce{A2}]$.