Question

Select the expressions that are equivalent to 9m+9m.1. 18m2. 2m+17m3. 8m+11m4. 5m+14m

Answer 1

Step 1. The original expression that we have is:

`9m+9m`

And we need to find the equivalent expressions.

Step 2. Since the terms 9m and 9m are like terms because they have the same variable 'm', we can add them and combine them into one term:

`9m+9m=18m`

Therefore, option 1 is correct.

Step 2. To check if any of the other options are also correct, we need to simplify them:

`\begin{gathered} 2.\text{ }2m+17m=19m \\ 3.\text{ }8m+11m=19m \\ 4.\text{ }5m+14m=19m \end{gathered}`

The rest of the options are equal to 19m, not 18m, therefore, they are not correct. Only option 1 is equivalent.

Answer:

`1.\text{ }18m`