Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Question

The product of 9 and the difference of a number and 2.
The product of 9 and the difference of a number and 2.

Answer 1

To represent the phrase "The product of 9 and the difference of a number and 2" as an algebraic expression, we can break it down as follows:

1. "a number" is represented by the variable \( x \).
2. "the difference of a number and 2" translates to \( x - 2 \).
3. "the product of 9 and" indicates multiplication by 9.

Putting this together, the algebraic expression is:

\[ 9(x - 2) \]