Question

"The sum of a number and 5 decreased by the third power of another number": Translate this verbal expression into an algebraic expression.

Answer 1

To translate the verbal expression "the sum of a number and 5 decreased by the third power of another number" into an algebraic expression, we can use the following definitions:

- Let \( x \) represent "a number."
- Let \( y \) represent "another number."

Now, we can break down the expression:

1. "The sum of a number and 5" translates to \( x + 5 \).
2. "The third power of another number" translates to \( y^3 \).
3. "Decreased by" indicates that we will subtract the third power of the other number from the sum.

Putting these together, we get the algebraic expression:

\[
(x + 5) - y^3
\]

Thus, the final algebraic expression is:

\[
x + 5 - y^3
\]