Question

.
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

Answer 1

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"**.