Complete each table given the rule and some x-values.

$$y = 3(10)+1 = 30+1 = 31$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 10 \\ \hline y & 4 & 7 & 10 & \textbf{13} & \textbf{16} & \textbf{31} \\ \hline \end{array}$$

b) The rule is $y = 5x-2$.

$$y = 5(12)-2 = 60-2 = 58$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 12 \\ \hline y & 3 & 8 & 13 & \textbf{18} & \textbf{23} & \textbf{58} \\ \hline \end{array}$$

c) The rule is $y = 8x+2$.

$$y = 8(11)+2 = 88+2 = 90$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 11 \\ \hline y & 10 & 18 & 26 & \textbf{34} & \textbf{42} & \textbf{90} \\ \hline \end{array}$$

d) The rule is $y = 2x+7$.

$$y = 2(15)+7 = 30+7 = 37$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 15 \\ \hline y & 9 & 11 & 13 & \textbf{15} & \textbf{17} & \textbf{37} \\ \hline \end{array}$$

Question 2: Complete each table.

a) The rule is $y = 3x$.

$$y = 3(7) = 21$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 7 \\ \hline y & 3 & 6 & 9 & \textbf{21} \\ \hline \end{array}$$

b) The rule is $y = 4x-1$.

$$y = 4(8)-1 = 32-1 = 31$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 8 \\ \hline y & 3 & 7 & 11 & \textbf{31} \\ \hline \end{array}$$

c) The rule is $y = 7x-2$.

$$y = 7(6)-2 = 42-2 = 40$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 6 \\ \hline y & 5 & 12 & 19 & \textbf{40} \\ \hline \end{array}$$

d) The rule is $y = 9x+1$.

$$82 = 9x+1$$ $$82-1 = 9x$$ $$81 = 9x$$ $$x = \frac{81}{9} = 9$$

The completed table is:

$$\begin{array}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & \textbf{9} \\ \hline y & 10 & 19 & 28 & 82 \\ \hline \end{array}$$