Questions: Write the English phrase as an algebraic expression. Let x represent the number. 21 less than the product of three and a number. The phrase written as an algebraic expression is.

Write the English phrase as an algebraic expression. Let x represent the number. 21 less than the product of three and a number.

The phrase written as an algebraic expression is.

Transcript text: Write the English phrase as an algebraic expression. Let x represent the number. 21 less than the product of three and a number. The phrase written as an algebraic expression is $\square$ $\square$.

Solution

Solution Steps

To translate the English phrase into an algebraic expression, identify the operations and their order. "The product of three and a number" suggests multiplication, represented as $3x$. "21 less than" indicates subtraction, so subtract 21 from the product. The expression is $3x - 21$.

Step 1: Identify the Expression

The phrase "the product of three and a number" can be expressed mathematically as $3x$, where $x$ represents the number.

Step 2: Incorporate the Subtraction

The phrase "21 less than" indicates that we need to subtract 21 from the previously identified expression. Therefore, we write the expression as $3x - 21$.