One more than one-

fourth the square of a

number x is y

y = 1 + ¼x²

Step-by-step explanation:

Given

One more than one-fourth the square of a number x is y

Required

Represent algebraically

We start by analysing the expression one after the other.

First, the two numbers to compare are represented by x and y.

Where y is the resulting number.

So, we start with y =;

Then we move backwards

- "the square of a number, x" can be represented with x²

- one-fourth "the square of a number, x".

The expression in quote has already been represented by x².

So, we can replace this expression with x².

This will give us: one-fourth of x²

One-fourth means ¼

Hence, one-fourth of x² = ¼ * x²

- "One more than" means 1 has to be added to the previous expression to give y.

In other words; 1 + ¼ * x²

Finally, we'll bring the expressions together to give

y = 1 + ¼ * x²

y = 1 + ¼x²

Hence, "One more than one-fourth the square of a number x is y " is represented in algebra by y = 1 + ¼x²