Question

. Translate the following phrases into algebraic expressions. Explain, in complete sentences, the difference between the two.
• twice the sum of x and y
• the sum of twice x and y

Answer 1

\(\Huge{\color{purple}{\textbf{W}} \color{orange}{\cal{E}} \color{green}{\mathbb{L}} \color{blue}{\mathsf{C}} \color{maroon}{\rm{O}} \color{red}{\tt{M}} \color{gold}{\tt{E}} \space \color{orchid}{\mathbf{T}} \color{Navy}{\mathsf{O}} \space \color{OrangeRed}{\boldsymbol{O}} \color{Olive}{\mathbf{P}} \color{Lime}{\textbf{E}} \color{DarkOrchid}{\mathsf{N}} \color{Tan}{\mathtt{S}} \color{magenta}{\mathbb{T}} \color{goldenrod}{\mathsf{U}} \color{ForestGreen}{\textbf{D}} \color{Salmon}{\mathsf{Y}} \ddot \smile }\)

>twice the sum of x and y

Twice, so we're multiplying by TWO.
Sum means to add.

So, I want to multiplying x and y by two. What expression represents that? (Hint, it has parentheses.)

Answer 2

2(x+y)

Answer 3

Good! Now, we have:

>the sum of twice x and y

This is saying, "the SUM." so we're adding something. What are we adding?
We're adding: Twice x and y.

But look, it says the, "SUM OF TWICE X." And THEN Y.

So, we have 2x, THEN we add Y.

Which translates to 2x + y

Does that make sense, hun? :)

Answer 4

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