Algebraic Concepts and Notation

Flashcards covering key concepts related to algebraic notation and operations.

Algebra

A branch of mathematics that uses letters to represent general or unknown numbers.

Variable

A letter or symbol used to represent an unknown quantity in algebra.

Algebraic Notation

The method of writing mathematical ideas using letters and symbols.

Order of Operations

The rules that dictate the sequence in which calculations are performed.

Index Laws

Rules that govern the operations involving powers or indices.

Inequality

A mathematical statement indicating that one quantity is greater than or less than another.

Strict Inequalities

Inequalities that do not allow for equality (e.g., > and < ).

Simultaneous Equations

A set of equations with multiple variables that are solved together.

Common Difference

The constant amount added or subtracted to get from one term to the next in a linear sequence.

n-th Term Formula

An algebraic expression that defines the position of terms within a sequence.

Quadratic Sequence

A sequence where the second differences between terms are constant.

Cubic Sequence

A sequence where the third differences between terms are constant.

Linear Sequence

A sequence that increases or decreases by a constant amount.

Term-to-Term Rule

A method to find the next term from the current term in a sequence.

Position-to-Term Rule

An algebraic expression that allows you to find any term in a sequence based on its position.