Exercise 35 Page 138

Every equation has an equals sign and values or expressions on either side of the $\text{equals}$ $\text{sign}.$ The given equation is no different, so let's begin our translation using phrases such as $\text{is},$ $\text{is equal to},$ or $\text{equals}$ to express equality.

$$\begin{array}{c}\frac{n}{\text{-}6}=2n+1\\ \frac{n}{\text{-}6}\text{ is the same as }2n+1\end{array}$$

Now, to translate the left- and right-hand side of this equation, let's break down the expressions and verbally express the individual terms and factors.

Algebraic Term	Verbal Translation
$\frac{n}{\text{-}6}$	$\text{The quotient of }n\text{ and }\text{-}6$
$=$	$\text{is the same as}$
$2n$	$\text{two}\text{ times }n$
$+$	$\text{the sum of … and …}$
$1$	$\text{one}.$
The quotient of $n$ and $\text{-}6$ is the same as the sum of two times $n$ and one.

Note that because there are often several ways to express certain mathematical operations, our answer is only one of many correct ways to verbally express this equation.