Write an expression for twelve more
than the product of a number and four.
This question really isn’t
difficult, but it does require us to read very closely what the question says.
Write an expression for what
follows that phrase. Everything after this is going to
be part of our expression.
First phrase, twelve more than, we
can translate that into twelve plus something that follows. Next phrase, the product of, this
means that we’re going to be adding twelve to the product of two things.
Our last phrase is a number and
four, the product of a number and four. Since we don’t know what a number
is, we’ll use a variable. 𝑥 in this case represents some
number that we don’t know.
The product of some number and four
can be seen here; we’ve translated that into 𝑥 times four. This is looking pretty good and it
is an expression to represent that phrase. But let’s try to clean it up a
little and get rid of some extra things we don’t need.
Since we’re working with a
variable, we don’t need that multiplication symbol. And because the only thing inside
the parentheses is four 𝑥, we don’t need the parentheses either. So here’s our simplified expression
twelve more than the product of a number and four: twelve plus four 𝑥.