Question

You and three friends go to a baseball game. You each pay 2$ for a drink and x dollars for nachos. Use the distributive property to write and simplify an expression for the total the group pays.

Answer 1

You and three friends go to a baseball game.

So, there are a total of 4 persons.

You each pay $2 for a drink and x dollars for nachos.

Recall that the distributive property is given by

$a\cdot(b+c)=a\cdot b+a\cdot c$

For the given case, we have

a = 4

b = 2

c = x

Let us apply the distributive property to write and simplify an expression for the total the group pays.

$\begin{gathered} 4\cdot(2+x)=4\cdot2+4\cdot x \\ 4\cdot(2+x)=8+4x \end{gathered}$

Therefore, the simplified expression for the total amount that the group pays is

$8+4x$