The phrase "three times the difference of a number and one" can be translated into algebra as:

$3(x - 1)$

Where:

• $x$ represents the unknown number.
• $x - 1$ is the difference between the number and one.
• $3(x - 1)$ means "three times" the difference.

Would you like further explanation or examples?

Here are 5 related questions for practice:

1. How would you write the expression for "twice the sum of a number and five" in algebra?
2. What is the algebraic expression for "four less than a number"?
3. Translate the phrase "five times the sum of a number and two" into an algebraic expression.
4. How do you represent "the product of a number and three increased by four" in algebra?
5. Write the algebraic expression for "seven subtracted from the difference of a number and six."

Tip: When translating phrases into algebra, break down the sentence into smaller parts (like "difference," "sum," "product") to identify which operations are needed!