Verified Answer :

Take the variable to be x

4x^3-7

Answer:

Statement:  "4 times a number cubed decreased by 7"

Let a number be  x is denoted as an arbitrary variable.

Now, cubed means raise x to the third power  i.e \(x^3\)

then, 4 times a number cubed i.e \(4x^3\)

Decreased by 7 means, subtract 7  

⇒\(4x^3-7\)

Therefore, the algebraic expression for the given statement is, \(4x^3-7\)