We are asked to write an algebraic expression for the given verbal expression. The key phrase in the verbal expression is the product of ... and multiplied by .... This indicates that we should perform a multiplication two times.
... * ... * ...
The first two terms that we need to multiply are a numbery and 8. Since 8 comes first in the verbal expression, it should be on the left-hand side of the addition.
8 * y
The other key phrase is multiplied by 9. This means that we need to multiply the above expression by 9. Because we are multiplying an expression to a number, we can use parentheses. Since 9 comes second in the verbal expression, it should be on the right-hand side of the addition.
( 8 * y) * 9
Finally, we can simplify this expression by using the Commutative Property of Multiplication. This will help us to have together the like terms. Then, we can use the Associative Property of Multiplication.
