We are asked to make an algebraic expression for the given verbal expression. The first key phrase is ... times ... This indicates that we should multiply two things.
... * ...
The two terms that we are multiplying together are six and the quantity two x plus three y. Since six comes first in the verbal expression, it should be on the left-hand side of the addition.
six * the quantity two x plus three y
We can partially complete our expression by changing the word six into its corresponding number, 6.
6 * the quantity two x plus three y
Next, we need to make an algebraic expression from the second part, the quantity two x plus three y. First, note that the first two words are the quantity. This means that it is the result of what comes after that we should multiply by 6. We can use parentheses (... ) to denote that.
6 * ( two x plus three y )
The second key phrase is ... plus .... This indicates that we should add two things.
... + ...
The two terms that we are adding are two x and three y. We can complete the second part of our expression by changing two and three into the corresponding numbers, 2 and 3, respectively.
2x + 3y
Finally, to complete the full expression, we should replace the quantity two x plus three y with the new-found algebraic version of it.
six times the quantity twox plus threey
6 * ( 2x + 3y )
Note that this is only one of multiple ways to algebraically express the given verbal expression.
