Algebra 2 Flashcards 2022-2023

Key Algebra Terms and Definitions

• Exponent: Indicates how many times a quantity is multiplied by itself.
• Rule: Refers to a specific required action or operation in mathematics.
• Multiplication: Involves repeatedly adding the same quantity; it is a fundamental arithmetic operation.
• Addition: Combines two or more quantities to yield a total or sum.
• Quantity: Represents something that has magnitude, size, or amount.
• Squared: Describes a number raised to the second power, meaning it is multiplied by itself once.
• Cubed: Refers to a number raised to the third power, indicating it is multiplied by itself twice.

Understanding Operations and Properties

• Interpret: The process of understanding and explaining the meaning behind numerical data or expressions.
• Subtraction: Finds the difference between two quantities, another basic operation in arithmetic.
• Division: The operation of repeatedly subtracting the same quantity; the inverse of multiplication.
• Notation: The method of marking or recording mathematical expressions and operations in writing.

Fractions and Their Components

• Transpose: Involves changing the order or position of elements or terms in a mathematical expression.
• Numerator: The upper part of a fraction, indicating how many equal parts are considered.
• Denominator: The lower part of a fraction, showing the total number of equal parts in the whole.

Number Characteristics

• Negative: Any value that is less than zero, indicating a deficit in quantity.
• Positive: Any value greater than zero, representing a surplus in quantity.

Mathematical Properties

• Commutative Property: Asserts that the order of numbers during addition or multiplication does not affect the result.
• Associative Property: States that changing the grouping of numbers will not alter the outcome of addition or multiplication.

Advanced Concepts

• Prime Factorization: Expresses a number as the product of its prime factors, essential for simplifying calculations and understanding number properties.
• Expression: A phrase in mathematics that includes numbers, operations, and possibly variables, but does not contain equality.
• Properties: The foundational rules that dictate how numbers relate to each other in various operations.
• Radicals: Mathematical expressions involving roots, used widely in algebra and higher mathematics.
• Rational Exponents: Exponents that are expressed as fractions, connecting exponential and radical forms.
• Index of a Radical: Indicates the required root in a radical expression, represented by a numeral or letter above the radical sign.
• Radicand: The term(s) located under a radical sign, which is subject to the root operation.