.

Which statement does NOT describe the expression
?

16 fewer than the product of 3 and a number

the product of 3 and a number
increased by 16

the difference of 3 multiplied by a number
and 16

16 less than the three times a number

1 answer

To analyze the statements about the expression, let’s define the expression mathematically. We can represent "a number" as \( x \).

  1. "16 fewer than the product of 3 and a number" can be written as: \[ 3x - 16 \]

  2. "The product of 3 and a number increased by 16" can be expressed as: \[ 3x + 16 \]

  3. "The difference of 3 multiplied by a number and 16" can be interpreted as: \[ 3x - 16 \]

  4. "16 less than the three times a number" can be represented as: \[ 3x - 16 \]

Now, we need to identify which statement does NOT correctly describe the same expression.

The first, third, and fourth statements describe the expression \( 3x - 16 \). However, the second statement describes \( 3x + 16 \).

Thus, the statement that does NOT describe the expression is:

"The product of 3 and a number increased by 16".