# How do you translate the following statement "Seven times a number, added to the sum of the number and six" into an algebraic expression?

Mar 18, 2016

$7 x + \left(x + 6\right)$

#### Explanation:

Let us assume that the number is $x$
Now the statement:
"$\textcolor{g r e e n}{\text{Seven times a number}} ,$ $\textcolor{red}{\text{added to}}$ the $\textcolor{b l u e}{\text{sum of the number}}$$\textcolor{b l u e}{\text{ and six}}$"

Seven times a number $\to$$7$ multiplied by the number $x \to 7 x$
added to $\to +$ the number in the part following of statement
sum of the number and six$\to x + 6$

All three steps written together

$7 \times x$ $+$ $\left(x + 6\right)$ , gives us the required algebraic expression

$7 x + \left(x + 6\right)$