Algebra 2 Symbols Flashcards

Questions and Answers

What does the symbol ∈ represent?

is an element of

What does the symbol ⊂ represent?

is a subset of

What does the symbol ∅ represent?

null set

What does the symbol = represent?

equals Signup and view all the answers

What does the symbol / represent?

is not (used to negate other symbols) Signup and view all the answers

What does the symbol ∩ represent?

intersection Signup and view all the answers

What does the symbol ∪ represent?

union Signup and view all the answers

What does the symbol ∴ represent?

therefore Signup and view all the answers

What does the symbol R represent?

{the real numbers} Signup and view all the answers

What does the phrase continues without end refer to?

infinity Signup and view all the answers

What does the symbol −a represent?

additive inverse of a Signup and view all the answers

What does the symbol 1/a represent?

multiplicative inverse of a Signup and view all the answers

What does the expression xⁿ represent?

nth power of x Signup and view all the answers

What does the symbol < represent?

is less than Signup and view all the answers

What does the symbol > represent?

is greater than Signup and view all the answers

What does the symbol ≤ represent?

is less than or equal to Signup and view all the answers

What does the symbol ≥ represent?

is greater than or equal to Signup and view all the answers

What does the symbol |a| represent?

absolute value of a Signup and view all the answers

What does the ordered pair (x, y) represent?

the ordered pair with first coordinate x and second coordinate y Signup and view all the answers

What does the symbol → represent?

assigns one value to another value Signup and view all the answers

What does the function f(x) represent?

f of x Signup and view all the answers

What does the expression f × g represent?

composition of f with g Signup and view all the answers

What does the symbol [x] represent?

greatest integer function Signup and view all the answers

What does the term an represent?

a-sub-n Signup and view all the answers

What does the function P(x, y) represent?

point P with coordinates (x, y) Signup and view all the answers

What does the symbol b⁻ⁿ represent?

reciprocal of b Signup and view all the answers

What does the symbol ⁿ√b represent?

the nth root of b Signup and view all the answers

What does the symbol ≈ represent?

equals approximately Signup and view all the answers

What does the symbol i represent?

a square root of −1 Signup and view all the answers

Study Notes

Set Theory and Basic Symbols

A set is represented by braces { }, indicating its members.
The symbol ∈ denotes membership, meaning an element is part of a set.
The subset symbol ⊂ indicates that all elements of one set are contained within another set.
The null set is represented by ∅, signifying a set with no members.

Basic Operations and Relations

The equals sign = represents equality between two expressions or values.
The symbol / is used for negation, indicating that something is not true or not applicable.
∩ represents intersection, the common elements found in two or more sets.
∪ represents union, which combines all elements from sets, removing duplicates.

Mathematical Notation and Concepts

The symbol ∴ indicates a conclusion or "therefore" in mathematical reasoning.
R denotes the set of all real numbers, encompassing both rational and irrational numbers.
The concept of infinity is indicated by the phrase "continues without end."

Inverse and Exponential Notation

The additive inverse of a number a is represented as −a, which when added to a yields zero.
The multiplicative inverse is 1/a, which when multiplied by a results in one.
xⁿ signifies the nth power of x, representing x multiplied by itself n times.

Inequalities

The symbol < indicates that one value is less than another.
The symbol > shows that one value is greater than another.
The symbols ≤ and ≥ convey less than or equal to and greater than or equal to, respectively.

Absolute Value and Coordinate Systems

The absolute value of a number a is represented as |a|, reflecting its distance from zero regardless of sign.
An ordered pair is denoted as (x, y), indicating the first coordinate as x and the second as y.

Functions and Assignments

The arrow → symbolizes assignment, linking one value to another.
The notation f(x) represents a function evaluated at x, often used in algebraic contexts.
(f × g)(x) refers to the composition of two functions, f and g, indicating how one may operate after the other.

Special Functions and Roots

signifies the greatest integer function, which rounds down to the nearest integer.
an denotes a generic term in a sequence, where "n" indicates its position.
P(x, y) refers to a point in the Cartesian plane with coordinates (x, y).
The symbol b⁻ⁿ denotes the reciprocal of b, highlighting inverse relationships in fractions.
The expression ⁿ√b signifies the nth root of b, representing the value that, when raised to n, equals b.

Approximation and Imaginary Units

The symbol ≈ indicates that two values are approximately equal but not necessarily exact.
The letter i represents the imaginary unit, defined as the square root of −1, crucial for complex number calculations.

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Description

Test your understanding of essential algebraic symbols with this flashcard quiz tailored for Algebra 2. Each card provides a symbol along with its definition, helping you reinforce your knowledge of mathematical notation and set theory concepts.