Question

A) Write an expression for the given number trick B) Simplify the expression you came up with

Answer 1

a)

Since we need an Expression, we also need a variablel for the "number".

Let's use "n".

We will translate each of the lines:

Pick a number : n

Mutiply that number by 12, so it becomes: n x 12

Add 15 to that, so we put parenthesis around that expression and add "15" to it:

(n x 12) + 15

Divide by 3, then we simply divide whole thing by 3, so we have:

`((n*12)+15)/(3)`

b)

To simplify, let's re-write:

`\begin{gathered} ((n*12)+15)/(3) \\ =(12n+15)/(3) \\ =(12n)/(3)+(15)/(3) \\ =4n+5 \end{gathered}`

This is the simplified form.