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 [tex]x^3[/tex]
then, 4 times a number cubed i.e [tex]4x^3[/tex]
Decreased by 7 means, subtract 7
⇒[tex]4x^3-7[/tex]
Therefore, the algebraic expression for the given statement is, [tex]4x^3-7[/tex]