# How do you write an algebraic expression that models the word phrase "twice the sum of 27 and matt's weight"?

Oct 2, 2016

If you are using an unknown value, use a variable and define whatit stands for.
Let Matt's weight be $w$

Look for the clues ...
$\rightarrow$ 'twice' means times by 2.
$\rightarrow$ 'sum' means add, It is used with AND, to tell you what to add together.

In this case, the main operation is addition.
Then that needs to be multiplied by 2

 ?? + ??

$27 + w \text{ } \leftarrow$ the sum of 27 and Matt's weight

$2 \left(27 + w\right) \text{ } \leftarrow$ twice the sum of 27 and Matt's weight