# Evaluate \frac{m}{4} + np^2 where m = 24, n = 6, p = 9, and q = 8.

## Question:

Evaluate

{eq}\displaystyle \frac{m}{4} + np^2 {/eq}

where {eq}m = 24 {/eq}, {eq}n = 6 {/eq}, {eq}p = 9 {/eq}, and {eq}q = 8 {/eq}.

## Evaluating Algebraic Expressions:

An algebraic expression is an expression that is made up of two or more variables, constants, and algebraic operations (addition, subtraction, division, multiplication etc). To evaluate an algebraic expression, we substitute the given values of the variables and then perform the algebraic operations.

We are given the expression:

• {eq}\displaystyle \frac{m}{4} + np^2 {/eq}

To evaluate the expression at {eq}m = 24 {/eq}, {eq}n = 6 {/eq}, {eq}p = 9 {/eq}, and {eq}q = 8 {/eq}, we will substitute these values into the expression.

• {eq}\dfrac{24}{4} + 6(9)^2 {/eq}
• {eq}6 + 486 = \color{blue}{\boxed{492}} {/eq}