Simplification of the Expression 128 - 16a

Algebraic Expression

Exercise 1: Simplification of an Expression

In this exercise, we will simplify the expression given as follows:

Expression Given

The expression to simplify is:
$128 - 16a$

Steps for Simplification

1. Identify the Components: The expression consists of a constant term (128) and a variable term (-16a). It is an algebraic expression in its simplest form, as there are no like terms to combine.

2. Operators: The subtraction operator indicates that we are reducing the constant by the product of 16 and the variable a.

3. General Form: This expression can be viewed in the general form of $c - kx$ where

   • $c = 128$ (constant term)

   • $k = 16$ (coefficient of the variable term)

   • $x = a$ (variable)

Conclusion

The simplified version of the expression $128 - 16a$ remains unchanged as it is already in its simplest form. Any value evaluated for 'a' will shift the value of the expression according to the formula, but the structure remains:

Final Expression:
$128 - 16a$

This expression can be used in various mathematical contexts, such as solving for 'a' given a particular value of the expression, or graphing the linear relationship between the variable 'a' and the expression.