Review of Algebra Fundamentals

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Numerical vs. Algebraic Expressions

Understanding the distinction between numerical expressions and algebraic expressions is foundational in college algebra. These concepts form the basis for more advanced topics in algebra and are essential for problem-solving.

• 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 constant number that multiplies a variable. In , the number 2 is the coefficient of x.

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

Typically, coefficients are written before the variable, and constants appear at the end of the expression.