Question

How do you define a variable and write an expression for each phrase: 6 times a number increased by 3?

Answer 1

Without a comma it is difficult to know what is meant.

`color(red)("6 times a number"),` increased by 3 `rarrcolor(red)(6x) + 3`

6 times, `color(blue)"a number increased by 3" rarr color(blue)6(x+3)`

Explanation:

People often ask if punctuation is important. The importance of clearly written phrases cannot be stressed enough!
The use of a comma helps to indicate exactly what is meant.
There is no comma shown, so what is intended is not totally clear.

This expression can be read in two ways:
Note the position of the comma in each case.

Let the number be `x" " larr"` always define the variable.

`color(red)("6 times a number"),` increased by 3"

"Times" means multiply and "increased by 3" means 3 is added.

`color(red)(6x) + 3`

OR

"6 times, `color(blue)"a number increased by 3"`

`6color(blue)((x+3))`