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

Jun 3, 2018

$2 n k - 7$

#### 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"
$\Rightarrow \textcolor{b l u e}{2 n}$

"and k" (This means that it is twice $n$ and twice $k$, or they are both multiplied by 2)
$\Rightarrow 2 n \textcolor{b l u e}{k}$

But this is lessened by $7$:

"7 less than"
$\Rightarrow 2 n k \textcolor{b l u e}{- 7}$

So the phrase translated into an equation is:

$2 n k - 7$