The phrase "One more than three times a number" can be translated into an algebraic expression using the variable $x$.

• "Three times a number" translates to $3x$.
• "One more than" means we add 1 to this expression.

So, the correct translation into an algebraic expression is:

$3x + 1$

Would you like more details or have any questions?

Here are 5 related questions to explore this topic further:

1. How would you translate "Four less than twice a number" into an algebraic expression?
2. What is the algebraic expression for "The square of a number minus seven"?
3. How can you represent "Half of a number increased by five" using a variable?
4. If you are given the phrase "The sum of a number and its square," how would you write it algebraically?
5. What expression would represent "Three times a number decreased by four"?

Tip: Always start by identifying key phrases such as "times," "more than," and "less than" when translating word phrases into algebraic expressions.