Write or complete the algebraic expression for each mapping diagram.

$$\begin{gathered} \begin{array}{ccc}\mathrm{Input}& & \mathrm{Output}\end{array} \\ \overline{)\begin{array}{c}1\\ 2\\ 3\\ 4\\ 10\end{array}}\begin{array}{c}\to \\ \to \\ \to \\ \to \\ \to \end{array}\overline{)\begin{array}{c}5\\ 11\\ 17\\ 23\\ 59\end{array}} \end{gathered}$$

$x\to .....x-.....$

 

 

Write or complete the algebraic expression for each mapping diagram.

$$\begin{gathered} \begin{array}{ccc}\mathrm{Input}& & \mathrm{Output}\end{array} \\ \overline{)\begin{array}{c}1\\ 2\\ 3\\ 4\\ 10\end{array}}\begin{array}{c}\to \\ \to \\ \to \\ \to \\ \to \end{array}\overline{)\begin{array}{c}8\\ 15\\ 22\\ 29\\ 71\end{array}} \end{gathered}$$

$x\to .....$

Write or complete the algebraic expression for each mapping diagram.

$$\begin{gathered} \begin{array}{ccc}\mathrm{Input}& & \mathrm{Output}\end{array} \\ \overline{)\begin{array}{c}6\\ 10\end{array}}\begin{array}{c}\to \\ \to \end{array}\overline{)\begin{array}{c}22\\ 38\end{array}} \\ x\to ..... \end{gathered}$$

Match the function machine to the correct function.

$$\begin{gathered} \to \boxed{\times 2}\to \boxed{+3}\to x\to 3x+2 \\ \to \boxed{\times 3}\to \boxed{+2}\to x\to 2\left(x+3\right) \\ \to \boxed{+3}\to \boxed{\times 2}\to x\to 2x+3 \\ \to \boxed{+2}\to \boxed{\times 3}\to x\to 3\left(x+2\right) \end{gathered}$$

Here are two function machines.

$\to \boxed{+1}\to \boxed{\times 4}\to \to \boxed{\times 4}\to \boxed{+4}\to$

Find the output from both function machines when the input is $7$.

Here are two function machines.

$\to \boxed{+1}\to \boxed{\times 4}\to \to \boxed{\times 4}\to \boxed{+4}\to$

Find the output from both function machines when the input is $\frac{1}{2}$.

Here are two function machines.

$\to \boxed{+1}\to \boxed{\times 4}\to \to \boxed{\times 4}\to \boxed{+4}\to$

Use algebra to show that the output from both function machines will be the same for all input values.

Find a formula for the perimeter, $P cm$, of this shape.

$P=$_____ $cm$.

A photographer charges $\$50$ for each photograph a customer orders, plus a fixed charge of $\$100$. Find a formula for the total cost, $\$\mathrm{C}$, when a customer orders $n$ photographs. $\mathrm{C}=......$