Question

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

Answer 1

`6*(x+1/x)`

Explanation:

"six times..." is `6*...`

if x is a number, then `1/x` is its reciprocal,

and then

"the sum of a number and its reciprocal" is `x+1/x`

Then the algebraic expression is:

`6*(x+1/x)`