Complete the flow diagrams.

Here are the completed flow diagrams:

*a) The rule is to add 500 to each number.

$$\begin{align*} 1200 + 500 &= \boxed{\textbf{1700}} \\ 1350 + 500 &= \boxed{\textbf{1850}} \\ 1500 + 500 &= \boxed{\textbf{2000}} \\ 1650 + 500 &= \boxed{\textbf{2150}}\end{align*}$$

*b) The rule is to add 125 to each number.

$$\begin{align*} 1200 + 125 &= \boxed{\textbf{1325}} \\ 1349 + 125 &= \boxed{\textbf{1474}} \\ 1498 + 125 &= \boxed{\textbf{1623}} \\ 1647 + 125 &= \boxed{\textbf{1772}}\end{align*}$$

*c) The rule is to add 1000 to each number.

$$\begin{align*} 1120 + 1000 &= \boxed{\textbf{2120}} \\ 1360 + 1000 &= \boxed{\textbf{2360}} \\ 1600 + 1000 &= \boxed{\textbf{2600}} \\ 1840 + 1000 &= \boxed{\textbf{2840}}\end{align*}$$

*d) The rule is to subtract 200 from each number.

$$\begin{align*} 9200 - 200 &= \boxed{\textbf{9000}} \\ 8916 - 200 &= \boxed{\textbf{8716}} \\ 8632 - 200 &= \boxed{\textbf{8432}} \\ 8348 - 200 &= \boxed{\textbf{8148}}\end{align*}$$

*e) The rule is to subtract 500 from each number.

$$\begin{align*} 2030 - 500 &= \boxed{\textbf{1530}} \\ 4215 - 500 &= \boxed{\textbf{3715}} \\ 6400 - 500 &= \boxed{\textbf{5900}} \\ 8585 - 500 &= \boxed{\textbf{8085}}\end{align*}$$

*f) The rule is to add $\frac{1}{2}$ to each number.

\begin{align*} 1 + \frac{1}{2} &= \boxed{\textbf{1\frac{1}{2}}} \\ 2 + \frac{1}{2} &= \boxed{\textbf{2\frac{1}{2}}} \\ 3 + \frac{1}{2} &= \boxed{\textbf{3\frac{1}{2}}} \\ 4 + \frac{1}{2} &= \boxed{\textbf{4\frac{1}{2}}}\end{align*}

*g) The rule is to add $1\frac{1}{6}$ to each number.

\begin{align*} \frac{2}{6} + 1\frac{1}{6} &= \frac{2}{6} + \frac{7}{6} = \frac{9}{6} = \boxed{\textbf{1\frac{1}{2}}} \\ \frac{3}{6} + 1\frac{1}{6} &= \frac{3}{6} + \frac{7}{6} = \frac{10}{6} = \boxed{\textbf{1\frac{2}{3}}} \\ \frac{4}{6} + 1\frac{1}{6} &= \frac{4}{6} + \frac{7}{6} = \frac{11}{6} = \boxed{\textbf{1\frac{5}{6}}} \\ \frac{5}{6} + 1\frac{1}{6} &= \frac{5}{6} + \frac{7}{6} = \frac{12}{6} = \boxed{\textbf{2}}\end{align*}

*h) The rule is to add $\frac{1}{8}$ to each number.

\begin{align*} \frac{2}{8} + \frac{1}{8} &= \boxed{\textbf{\frac{3}{8}}} \\ \frac{3}{8} + \frac{1}{8} &= \frac{4}{8} = \boxed{\textbf{\frac{1}{2}}} \\ \frac{4}{8} + \frac{1}{8} &= \boxed{\textbf{\frac{5}{8}}} \\ \frac{5}{8} + \frac{1}{8} &= \frac{6}{8} = \boxed{\textbf{\frac{3}{4}}}\end{align*}