Question

How do you translate "7 less than twice a number and k" as an algebraic expression?

Answer 1

`2nk - 7`

Explanation:

Here are a couple hints to turn this into an equation:

1. "Less than" means subtraction, whereas "more than" means addition.
2. Saying "twice a number" means that you are multiplying that number by 2

I will put the "7 less than" last, since it will be subtracted from the rest of the equation:

"twice a number"
`rArr color(blue)(2n)`

"and k" (This means that it is twice `n` and twice `k`, or they are both multiplied by 2)
`rArr 2n color(blue)k`

But this is lessened by `7`:

"7 less than"
`rArr 2nk color(blue)(- 7)`

So the phrase translated into an equation is:

`2nk - 7`