Question

write an equation to represent the product of the quantity 3 times a number x minus 3 and 2.5 is equal to 6. \\(\square(\square x - \square) = \square\\)

Explanation:

Step1: Identify the "quantity 3 times a number x minus 3"

The "3 times a number x" is \(3x\), and then minus 3, so the quantity is \(3x - 3\).

Step2: Identify the other factor and the result

The problem says the product of this quantity and 2.5 is equal to 6. So the first box (the factor with the quantity) is 2.5, the second box in the parentheses (the coefficient of x) is 3, the third box in the parentheses (the constant being subtracted) is 3, and the last box (the result) is 6.

Answer:

\(2.5(3x - 3)=6\)

So filling in the boxes: 2.5, 3, 3, 6.