Question

How do you express the phrase "Five more than the product of 7 and a" as an algebraic expression?

Answer 1

`7a + 5`

Explanation:

The word product refers to multiplication, so the product of 7 and a is `7a`

Five more would mean addition of 5 to the value.

`7a +5`

Answer 2

`7timesa+ 5`, also written as `7a+5`.

Explanation:

We need to break down the phrase into its math parts.

We start with:

`"Five more than the product of 7 and "a`

"Five" means the number 5.
So "Five more than" means "5 added to something".

That something must be what's left: "the product of 7 and `a`."
So, we are taking the product of 7 and `a`, and then adding 5 to it.

Our phrase is now:

`["the product of 7 and "a]" " + 5`

In math, the word "product" means "the result of multiplying." To get a product, we need (at least) two things to multiply together.

The remaining part of our phrase tells us what to multiply together: 7 and `a`.

In math, "the product of 7 and `a`" is what you get when you multiply "7 times `a`", also written as `7xxa`.

Our phrase is now:

`[7 xx a] + 5`

We can clean this up a bit by using `7a` instead of `7 xx a`:

`7a+5`

Let's double check. This math phrase should mean the same as "five more than the product of 7 and `a`".

`7a` is indeed the product of 7 and `a`, and `+5` indicates "five more than" that product.

So yes, `7a+5` is "five more than the product of 7 and `a`".