In Exercises 81–100, evaluate or simplify each expression without using a calculator. In e

Key Concepts

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Following these rules is crucial when simplifying expressions to avoid errors.

Algebraic Expressions

Algebraic expressions are combinations of numbers, variables, and operations that represent a value. They can include constants, coefficients, and various mathematical operations. Understanding how to manipulate these expressions, such as combining like terms and applying distributive properties, is essential for evaluating or simplifying them.

Factoring

Factoring is the process of breaking down an expression into its constituent parts or factors that, when multiplied together, yield the original expression. This concept is vital for simplifying expressions and solving equations, as it can reveal solutions or make calculations easier. Common techniques include factoring out the greatest common factor and using special products.