Review of Algebra

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Numerical vs. Algebraic Expressions

Understanding the distinction between numerical expressions and algebraic expressions is a foundational concept in algebra. These two types of expressions form the basis for more advanced topics in College Algebra.

• Numerical Expressions: Consist only of numbers and mathematical operations (such as addition, subtraction, multiplication, and division). They do not contain variables. Example:

• Algebraic Expressions: Include numbers, variables (letters that represent numbers), and operations. Variables can take on different values, making algebraic expressions more flexible and general. Example:

Components of Algebraic Expressions

Algebraic expressions are constructed by combining numbers, variables, and operations. Each part of an algebraic expression has a specific name and role:

• Variable: A letter (such as x) that represents a number whose value can change.

• Coefficient: The number in front of a variable, indicating how many times the variable is multiplied. Example: In , the coefficient is 2.

• Constant: A standalone number that does not change. Example: In , the constant is 5.

Typically, coefficients precede the variables, and constants appear at the end of the expression.