Question

Ali simplifies the expression 9y+y to 9y^2.

Use the drop-down menus to complete the statements below to explain why Ali's solution is correct or incorrect.

9y+y is the same as .

9y^2 is the same as .

9y+y simplifies to

Answer 1

10y
9y*y (multiply)
10y or y + 1/9y. both are correct

Answer 2

Ali's solution is incorrect.

Explanation:

We have been given a statement that Ali simplifies the expression
`9y+y` to
`9y^2`. We are asked to complete the given statements to explain why Ali's solution is correct or incorrect.

`9y+y` is the same as:

To combine like terms, we will add 9y to y as:

`9y+y=(9+1)y`

Therefore,
`9y+y` is the same as
`(9+1)y`.

`9y^2` is the same as:

We know when we multiply two same variables, then their power increases.
`y^2` is same as product of two y's.

`9y^2=9y\cdot y`

Therefore,
`9y^2` is the same as
`9y\cdot y`.

`9y+y` simplifies to:

Upon combining like terms, we will get:

`9y+y=10y`

Since
`9y+y` simplifies to
`10y`, therefore, Ali's solution is incorrect.