Three times the sum of a number and 9

Answer 1

Here is a similar example to show the steps to solving a problem like this.

Four times the sum of a number and 3

Step 1: the sum of a number and 3 would be written as x+3

Step 2: "four times" means you are multiplying the whole expression by 4. So it would be 4(entire equation)

So in this case the final answer would be 4(x+3)

You can apply the same method to the problem you posted. Good luck!

Answer 2

Let’s break the words apart to make an expression, and we will work backwards to put it back together:

“Three times the sum of a number and nine”

Three times —> 3 is multiplying with whatever comes AFTER this phrase

The sum of —> Whatever comes AFTER this phrase is adding together

a number and 9 —> an unknown number, which we will call x, and 9

x and 9 came after “the sum of” so these are the two terms adding together

x+9 this represents “the sum of a number and 9”

”Three times” is multiplying x + 9

3(x+9) this represents “three times the sum of a number and 9”

Answer: 3(x+9)

***IMPORTANT***

The parenthesis are necessary! 3x+ 9 is not the same as “three times the sum of a number and 9.” It is three times EVERYTHING that followed that phrase, which is the whole x + 9 as a unit. They must be grouped together. Hope this helps!

Answer 3

Sorry, not sure if this is it or if it's part of a longer question. That being said, I can try and answer just based on what's here:

So let's look at our prompt: Three times the sum of a number and 9

You might be tempted to start with the "Three times..." but when we see "the sum of a number and nine," this implies that we do the sum first and therefore need parentheses (). So we should focus on the sum first.

The sum of a number (let's call it 'x') and 9 can be expressed as: x + 9.

Now we want to multiply that sum by 3, so first we put 'x+9' in parentheses to indicate that we're multiplying the whole sum (as opposed to just multiplying 'x' or '9'): (x+9). Then, we multiply it by 3:

3 * (x + 9).

And that's our expression!

Answer 4

A number can be "x" or "n", or any other letter - it does not matter, so let's just use "n". It's important to first focus on what wording is attached to the number, so when it says "the sum of a number and 9", this would be "n+9", and now, you also notice that you require it to be three times tghat number, so your answer would be : "3(n+9)"