Algebra Monomial Flashcards

Study Notes

Algebraic Expressions

Binomial: An expression composed of two distinct terms, exemplified by 2x + y.
Trinomial: An expression that includes three terms, such as 3x + 5y - 3.
Polynomial: An algebraic expression featuring one or more terms, which can include constants and variables.

Key Components of Expressions

Constant: Represents a fixed numerical value without any variable, e.g., 5, -2, or 3.
Leading Coefficient: The coefficient associated with the term that has the highest degree in a polynomial.
Parts of a Monomial: Consists of three elements: coefficient (numerical part), base (variable part), and exponent (power).

Specific Types of Expressions

Monomial: Defined as a single-term expression, such as 3x, 5x, or -7.
Standard Form: Refers to the representation of polynomials without like terms, arranged in descending order based on exponents.

Order and Properties

Descending Order: The arrangement of terms in a polynomial from the highest exponent to the lowest.
Distributive Property: A fundamental principle in algebra that involves distributing or giving out values across terms.

Simple Algebraic Operations

Sum of x+x: Results in 2x, showcasing the addition of like terms.
Product of (X)(X): Equals x squared, demonstrating multiplication of the same variable.

Like Terms

Like Terms: Terms that share the same base and exponent, allowing them to be combined in algebraic expressions.

Description

Explore key algebraic concepts with these monomial flashcards. Each card defines important terms such as binomial, trinomial, and polynomial. Perfect for students looking to strengthen their understanding of algebraic expressions.