Question

which verbal expression represents the following expression? 3(4 - x) four subtracted from x multiplied by three; three times the quantity of x minus four; three times the quantity of four minus a number x; four minus the number x divided by 3

Explanation:

Step1: Analyze the expression \( 3(4 - x) \)

The expression has a multiplication of 3 with the quantity \( (4 - x) \). The quantity \( (4 - x) \) is "four minus a number \( x \)". Then we multiply this quantity by 3, so it's "three times the quantity of four minus a number \( x \)".

Step2: Evaluate each option

• First option: "Four subtracted from \( x \) multiplied by three" would be \( 3(x - 4) \), not \( 3(4 - x) \).
• Second option: "Three times the quantity of \( x \) minus four" would be \( 3(x - 4) \), not \( 3(4 - x) \).
• Third option: Matches the analysis of \( 3(4 - x) \) as "three times the quantity of four minus a number \( x \)".
• Fourth option: "Four minus the number \( x \) divided by 3" would be \( \frac{4 - x}{3} \), not \( 3(4 - x) \).

Answer:

Three times the quantity of four minus a number x (the third option among the given choices)