Four times a number decreased by seven

In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication, division, addition, and/or subtraction):

"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.

"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.

"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3

With all of the information we now have, we can form an algebraic expression for this problem.

"4 times a number cubed decreased by 3" now becomes:

4x3 - 7