# How do you translate word phrases to algebraic expressions: six times the sum of a number and its reciprocal?

Apr 29, 2017

$6 \cdot \left(x + \frac{1}{x}\right)$

#### Explanation:

"six times..." is $6 \cdot \ldots$

if x is a number, then $\frac{1}{x}$ is its reciprocal,

and then

"the sum of a number and its reciprocal" is $x + \frac{1}{x}$

Then the algebraic expression is:

$6 \cdot \left(x + \frac{1}{x}\right)$