Unit 4 Algebra 2 Flashcards

Study Notes

Algebra Concepts

Algebra: A mathematical field focused on relationships between numbers, using symbols to represent numbers and their relationships.
Coefficient: A numerical factor in a term that is multiplied by a variable, indicating the term's magnitude in algebraic expressions.

Mathematical Structures

Equation: A mathematical statement that asserts equality between two expressions, represented with an equality symbol.
Expression: A combination of numbers, variables, and operation symbols expressing a value, but without an equality symbol.

Solution Types

Extraneous Solutions: Possible solutions derived from manipulating equations that do not hold true in the original equation, thus invalidating them.
Inequality: A relational statement comparing two expressions using inequality symbols such as >, <, ≥, or ≤ to indicate a non-equal relationship.

Types of Functions

Polynomial: An algebraic expression composed of terms with variables raised to nonnegative integer powers and real-number coefficients, often used in various mathematical contexts.
Radical Function: Functions that include roots, with square roots and cube roots being the most commonly encountered forms.

Function Relationships

Rational Function: A function defined as the ratio of two polynomials, represented as R(x) = P(z)/Q(z), where both P and Q are polynomial expressions.
Reciprocal: A pair of numbers whose product equals one, essentially 1/x, emphasizing the inverse relationship between two values.

Fundamental Definitions

Variable: A symbol or letter utilized in algebra to stand in for unknown quantities, allowing for generalization in mathematical expressions.

Description

Test your knowledge with these flashcards covering essential terms and definitions from Unit 4 of Algebra 2. Each card highlights key concepts such as algebra, coefficients, and equations. Perfect for quick reviews or exam preparation!