Questions: Translate the following phrase into an algebraic expression. Do not simplify. x multiplied by the product of 3 and y

Solution Steps

To translate the given phrase into an algebraic expression, we need to identify the mathematical operations described by the words. The phrase "multiplied by" indicates multiplication, and "the product of 3 and y" also indicates multiplication. Therefore, we need to multiply \( x \) by the result of multiplying 3 and \( y \).

1. Identify the operations described in the phrase.
2. Translate the phrase into an algebraic expression using the appropriate mathematical symbols.

The phrase "x multiplied by the product of 3 and y" can be expressed mathematically. The product of 3 and \( y \) is represented as \( 3y \). Therefore, the entire expression can be written as \( x \cdot (3y) \).

Using the properties of multiplication, we can simplify the expression \( x \cdot (3y) \) to \( 3xy \).

Final Answer