Sure, let's break down the statement to create an algebraic expression:
1. We need to identify the components of the statement:
- "A number" is represented by the variable [tex]\( x \)[/tex].
- The sum of 11 and this number ([tex]\( x \)[/tex]) is expressed as [tex]\( (11 + x) \)[/tex].
2. Next, we need to consider the phrase "six times":
- Multiplying an expression by 6 is represented by placing the number 6 in front of the entire sum.
3. Combine these components:
- We need to multiply the sum [tex]\( (11 + x) \)[/tex] by 6.
So, the algebraic expression for "six times the sum of 11 and a number" is:
[tex]\[ 6 \cdot (11 + x) \][/tex]
Or more simply written as:
[tex]\[ 6(11 + x) \][/tex]
