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.

Four times a number equals the number increased by 9.

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

Four times a number plus 9 is 9.

Let be the number

Four times a number is

Four times the number plus 9 is

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

is different to our equation, , so this is not the word sentence that represents our equation.

Four times a number equals the number increased by 9.

Again, let be the number

Four times a number is

The number increased by 9 is

Since both are equal, our equation is:

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 be the number

Four increased by a number is

the number increased by 9 is

Since both are equal,

This is not our equation.

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

Let be the number

The sum of a number and 9 is

Four times that sum is

Since that sum is equal to the number,

This is not our equation.