To translate the verbal expression into an algebraic expression, we need to first consider the meaning of the key phrases.
"times" and "the difference of"The first phrase indicates multiplication and the second phrase suggests subtraction. Let's start by writting an expression for the phrase 3 times.
3 *...
Now, we can add the second part of our expression. The words the difference of 7 and d mean that we should subtract d from 7. Note that this is a unit value that we are multiplying by the 3 so it should be kept in parentheses.
3 times the difference of 7 and d
3 * ( 7 - d )
When multiplying a number by a parenthetical expression, we can omit the multiplication symbol. Therefore, the algebraic expression is 3(7-d).
