I want to know if I have this right

translate the phrase into mathematical expression and then simplify
six times a number subtract thrice the same number.
6n-3n
6x-3x

You're right so far. Now to simplify --

6n - 3n = 3n

nine subtracted from the product of two and an unknown number

Nine minus the product of two and a number x

Eight more than the product of two and a number x

The sum of four and the product of three and a number x

Nine more than the product of one and a number x

To translate the given phrase "six times a number subtract thrice the same number" into a mathematical expression, you need to assign a variable to the number. Let's use the variable "x".

The phrase can be represented mathematically as:
6x - 3x

To simplify this expression, you combine like terms. In this case, you have "6x" and "-3x", which are like terms because they both have the variable "x".

To simplify, you subtract the coefficients (numbers in front of the variable) and keep the variable the same.

So, 6x - 3x can be simplified to:
(6 - 3)x

The subtraction of coefficients yields 3, so the simplified expression is:
3x.