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

Answer:

Ali's solution is incorrect.

Step-by-step 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.