Sure, let's break down the sentence "6 plus a number" and represent it as an algebraic expression where "a number" is represented by the variable [tex]\( x \)[/tex].
1. Identify the variable:
- "a number" is unknown, so we represent it as [tex]\( x \)[/tex].
2. Translate the phrase into an algebraic expression:
- The word "plus" in mathematics indicates addition. Therefore, "6 plus a number" means we add 6 to the number [tex]\( x \)[/tex].
Putting it all together, the algebraic expression that represents "6 plus a number" is:
[tex]\[ x + 6 \][/tex]
This is your final algebraic expression.