$($a$)$ Select all of the correct statements about reaction rates from the choices below.

The lower the rate of a reaction the longer it takes to reach completion.

Reaction rates can show little change as masses of solid reactants increase.

Catalysts increase reaction rates.

A balanced chemical reaction is necessary to relate the rate of disappearance of a reactant to the rate of appearance of a product.

Reaction rates decrease with increasing temperature.

The fastest step in a reaction is called the rate$-$determining step.

Reaction rate constants increase with increasing temperature.