The process involves substituting a specific numerical value for a variable within a mathematical expression and then performing the indicated operations to arrive at a single numerical result. In this instance, the expression is “9b” and the designated value for the variable “b” is 8. The task then becomes computing the product of 9 and 8.
This type of substitution and evaluation is a fundamental operation in algebra and is crucial for understanding how variables affect the outcome of expressions and equations. It provides a basic building block for solving more complex algebraic problems, such as simplifying expressions, solving equations, and modeling real-world phenomena. Historically, the development of algebra and variable manipulation has been pivotal in advancements across various scientific and engineering disciplines.