1. A rectangle has a width of $3x$ and a height of $4y$. The simplified expression for its perimeter is ___.
2. In a restaurant, there are three nonsmokers for every smoker. If $x$ is the number of smokers, the expression for the number of nonsmokers is ___.
3. There are 8 more cats than dogs at a shelter. If $d$ represents the number of dogs, the expression for the number of cats is ___.
4. In the expression $5p - 2q + 7r - 3p$, which pair of terms are like terms?
5. The numerical coefficient of the term $-12xy$ is ___.
6. For the algebraic term $-m$, the numerical coefficient is understood to be ___.
7. Which of the following terms is NOT a like term with $7ab$?
8. Consider the expression $6x + y - 4z + 2$. Which term is a like term with $x$?
9. Simplify the algebraic fraction: $\frac{8m^3n}{12mn^2}$. The result is ___.
10. Which expression is equivalent to $\frac{15p^4q^2}{5p^2q^5}$?