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Chapter 1: Problem 45

For the following problems, rewrite each phrase using algebraic notation. 3 times \((x+y)\)

Short Answer

Expert verified
Based on the step-by-step solution above, rewrite the phrase "3 times (x+y)" in algebraic notation.

Step by step solution

01

Identify the parts of the phrase to be converted to algebraic notation

We can see that there are two parts in the given phrase: "3 times" and "\((x+y)\)". We will need to convert these parts into algebraic notation.
02

Convert "3 times" to algebraic notation

To represent multiplication in algebraic notation, we can simply write the two factors next to each other. In this case, the factor is "3". Therefore, "3 times" can be written as "3".
03

Convert \((x+y)\) to algebraic notation

\((x+y)\) is already written in algebraic notation, with \(x\) and \(y\) enclosed in parentheses. The parentheses indicate that \(x\) and \(y\) must be added together first, following the order of operations.
04

Combine the two converted parts

Now that we have converted both parts of the phrase, we can combine them to create the final algebraic expression. Since "3 times" means multiplication, we will place the factor "3" next to the parentheses. This results in the algebraic expression \(3(x+y)\).
05

Final Answer

The phrase "3 times \((x+y)\)" can be rewritten in algebraic notation as: \(3(x+y)\).

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