Question

Which word sentence represents the equation?

4y = y + 9



Four times a number plus 9 is 9.

Four times a number equals the number increased by 9.

Four increased by a number equals the number increased by 9.

Four times the sum of a number and 9 is the number.

Answer 1

i believe its the second one because it say four times the number wich the number is the y and it is = too the number wich is y and increased going up are adding by 9. hope that helped.

Answer 2

Four times a number equals the number increased by 9.

Step-by-step explanation

Let's translate each one of our word sentences into equations:

Four times a number plus 9 is 9.

Let
`y` be the number

Four times a number is
`4y`

Four times the number plus 9 is
`4y+9`

"is 9" means that four times the number plus 9 is equal to nine, so:

`4y+9=9`

`4y+9=9` is different to our equation,
`4y = y + 9`, so this is not the word sentence that represents our equation.

Four times a number equals the number increased by 9.

Again, let
`y` be the number

Four times a number is
`4y`

The number increased by 9 is
`y+9`

Since both are equal, our equation is:
`4y=y+9`

Look! This is our given equation, so "Four times a number equals the number increased by 9." is the word sentence that represents our equation.

Let's do the last two just for fun:

Four increased by a number equals the number increased by 9.

Let
`y` be the number

Four increased by a number is
`4+y`

the number increased by 9 is
`y+9`

Since both are equal,
`4+y=y+9`

This is not our equation.

Four times the sum of a number and 9 is the number.

Let
`y` be the number

The sum of a number and 9 is
`y+9`

Four times that sum is
`4(y+9)`

Since that sum is equal to the number,
`4(y+9)=y`

This is not our equation.