Write an algebraic expression for the phrase.

The product of six and a number less three.
?
I am confused by the wording, I think. Please help.

product of ... needs two numbers. One is 6, and the other is

a number less 3 ... x - 3
so, 6(x-3)

But could it be 6(3-x)?

Possibly, but for 6(3-x), except for 2 cases, the value would be zero or a negative number. It does not say "three less than a number."

Can I please get some help. This word problem is confusing

6 less than the product of a number and 3 is -18.

What is 6(x-3) could you help me figure it out

To write an algebraic expression for the phrase "The product of six and a number less three," we need to break it down into smaller parts and translate each part into an algebraic term.

Let's start with the phrase "a number." In algebra, we often represent an unknown number with a variable, typically 'x'. So, we can use 'x' to represent the unknown number.

Next, we have the phrase "less three." This means we need to subtract three from the number represented by 'x'. In algebraic terms, we use the subtraction operation (-) to represent the expression "less three". Therefore, "x - 3" represents the number 'x' less three.

Finally, we have the phrase "The product of six and (x - 3)." The word "product" means multiplication, so we need to multiply six by the expression we obtained in the previous step, which is 'x - 3'. In algebraic terms, we use the multiplication operator (*) to represent the product. Thus, the final expression is:
6 * (x - 3)

Therefore, the algebraic expression for the phrase "The product of six and a number less three" is 6 * (x - 3).