# What is the sum of 14 and the product of 8 and a number?

May 14, 2018

$14 + 8 n$

#### Explanation:

Let "a number" be represented by the variable $n .$

" the product of $8$ and a number" is $8 \times n$ since product implies multiplication of $8 \mathmr{and} n$

"sum of $14$ and the product of $8$ and a number" sum implies addition of $14$ and the product from the previous step

Putting everything together: $14 + 8 n$

May 15, 2018

$14 + 8 x$

#### Explanation:

In statements like this, the key word is AND

That will tell you which numbers the words sum, difference, product and difference are referring to.

Sum indicates addition while product indicates multiplication.

The SUM of $14$ AND 'something' will be written as color(blue)(14 + ????)

In this case the 'something' is given as:

The PRODUCT of '$8$ AND a number'
Choose a variable to represent the number - let's call it $x$

The product is written as $\textcolor{red}{8 \times x = 8 x}$

'AND is used as a linking word twice. There are two operations.

The sum of 14 and the product of $8$ and a number is written as:

$\textcolor{b l u e}{14 +} \textcolor{red}{8 x}$