To translate the phrase "11 more than twice Matt's age" into an algebraic expression, follow these steps:
1. Identify the variable that represents Matt's age. In this case, it's given as [tex]\( m \)[/tex].
2. The phrase "twice Matt's age" means you need to multiply Matt's age by 2. So, twice Matt's age is represented as [tex]\( 2m \)[/tex].
3. The phrase "11 more than" means you need to add 11 to the result obtained in step 2.
Combining these steps, the algebraic expression will be:
[tex]\[ 2m + 11 \][/tex]
So, "11 more than twice Matt's age" is written as [tex]\( 2m + 11 \)[/tex].
