Algebra 2 Flashcards 2022-2023

Questions and Answers

What does the term 'exponent' refer to?

A quantity divided by another quantity

A mathematical notation indicating the number of times a quantity is multiplied by itself (correct)

A mathematical symbol for subtraction

A number added to another number

What is a 'rule' in mathematics?

Designates a specific required action

What is the operation of repeatedly adding the same quantity called?

Multiplication

What does 'addition' mean?

The operation of combining or putting together two or more quantities Signup and view all the answers

What is a 'quantity'?

Something that has magnitude, size, or amount Signup and view all the answers

What does it mean when a number is 'squared'?

A number raised to the second power; a number multiplied by itself 2 times Signup and view all the answers

What does it mean when a number is 'cubed'?

A number to the third power; a number multiplied by itself 3 times Signup and view all the answers

What does 'interpret' mean?

To understand and/or explain the meaning of information, words, or actions Signup and view all the answers

What is 'subtraction'?

The operation of finding the difference between two quantities Signup and view all the answers

What does 'division' involve?

The operation of repeatedly subtracting the same quantity Signup and view all the answers

What does 'notation' refer to?

The act of noting, marking, or setting down in writing Signup and view all the answers

What does 'transpose' mean in mathematics?

To put into a different order or place; to reverse or transfer the order Signup and view all the answers

What is a 'numerator'?

The number written above the line in a fraction; it tells how many equal parts are focused on Signup and view all the answers

What is a 'denominator'?

The number written below the line in a fraction; it tells how many equal parts there are in all Signup and view all the answers

What does 'negative' mean?

Less than zero Signup and view all the answers

What does 'positive' mean?

Greater than zero Signup and view all the answers

What is the 'commutative property'?

States that the order in which numbers are added or multiplied does not change the sum or product Signup and view all the answers

What is the 'associative property'?

States that changing the grouping of numbers will not change the value Signup and view all the answers

What is 'prime factorization'?

A number written as the product of all its prime factors Signup and view all the answers

What is an 'expression'?

A mathematical phrase that contains operations, numbers, and/or variables Signup and view all the answers

What are 'properties' in mathematics?

Rules governing the relationships and interactions of numbers Signup and view all the answers

What are 'radicals'?

Expressions using roots Signup and view all the answers

What are 'rational exponents'?

Exponents written as fractions Signup and view all the answers

What is the 'index of a radical'?

A numeral or letter written above and to the left of the radical sign to indicate the required root Signup and view all the answers

What is a 'radicand'?

The term(s) under a radical sign Signup and view all the answers

Study Notes

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.

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Description

This quiz features vocabulary words from the Algebra 2 curriculum for the 2022-2023 academic year. Each term is defined clearly, helping students familiarize themselves with essential mathematical concepts. Perfect for review or study sessions!