QuestionThe expression is 9 less than the sum of $y$ and $x$ : $y + x - 9$ .

Studdy Solution

STEP 1

Assumptions1. We have two variables $x$ and $y$ . We are asked to find an expression that represents "9 more than the sum of $y$ and $x$ "

STEP 2

First, we need to understand the phrase "the sum of $y$ and $x$ ". In mathematics, the word "sum" refers to the result of adding two or more numbers. Therefore, the sum of $y$ and $x$ can be represented as $y + x$ .

STEP 3

Now, we need to understand the phrase "9 more than". In mathematics, the phrase "more than" is used to indicate addition. Therefore, "9 more than the sum of $y$ and $x$ " can be represented as $9 + (y + x)$ .

STEP 4

However, in mathematics, we usually write the numbers after the variables. So, we can rearrange the expression to $(y + x) +9$ .

STEP 5

Finally, we simplify the expression by removing the brackets. This is possible because of the associative property of addition, which states that the way numbers are grouped does not change their sum.
$(y + x) +9 = y + x +9$ So, "9 more than the sum of $y$ and $x$ " is represented as $y + x +9$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms