Question

Which algebraic expression best matches the following: One less than one-fourth the square of a number.

a. ( 0.25x^2 - 1 )
b. ( √e - 1 )
c. ( 1/x^2 - 1 )
d. ( x^2 - 1 )

Answer 1

The algebraic expression that best matches the given statement 'One less than one-fourth the square of a number' is option (a) 0.25x^2 - 1.

Step-by-step explanation:

The algebraic expression that best matches the given statement 'One less than one-fourth the square of a number' is option (a) 0.25x^2 - 1.

To find the expression, we break down the statement into smaller parts:

One-fourth the square of a number is represented as (1/4)x^2. And one less than that is (1/4)x^2 - 1.