Unit 4 Algebra 2 Flashcards

Questions and Answers

What is Algebra?

A form of geometry

A statistical method

The branch of mathematics that deals with relationships between numbers (correct)

A type of arithmetic

What is a Coefficient?

A number multiplied by a variable

What defines an Equation?

A number sentence that contains an equality symbol

What is an Expression in mathematics?

A mathematical phrase involving at least one variable Signup and view all the answers

What are Extraneous Solutions?

A solution of the simplified form of the equation that does not satisfy the original equation Signup and view all the answers

What is an Inequality?

Any mathematical sentence that contains symbols like > or < Signup and view all the answers

What is a Polynomial?

A mathematical expression involving the sum of terms made up of variables to nonnegative integer powers Signup and view all the answers

What is a Radical Function?

A function containing a root Signup and view all the answers

What is a Rational Function?

The quotient of two polynomials, P(z) and Q(z) Signup and view all the answers

What are Reciprocal numbers?

Two numbers whose product is one Signup and view all the answers

What is a Variable?

A letter or symbol used to represent a number Signup and view all the answers

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!