Algebra Monomial Flashcards

Questions and Answers

What is a binomial?

An algebraic expression with four terms

An algebraic expression with one term

An algebraic expression with three terms

An algebraic expression with two terms (correct)

What is a trinomial?

An algebraic expression with three terms (correct)

An algebraic expression with two terms

An algebraic expression with one term

An algebraic expression with four terms

What is a polynomial?

An algebraic expression with two terms

An algebraic expression with one or more terms (correct)

An algebraic expression with no terms

An algebraic expression with three terms

What is a constant?

A number without a variable. Signup and view all the answers

What is the leading coefficient?

Coefficient of the term with the highest degree. Signup and view all the answers

What are the parts of a monomial?

Coefficient, base, exponent. Signup and view all the answers

What is a monomial?

One term. Signup and view all the answers

What is the standard form of a polynomial?

No like terms and it is in descending order. Signup and view all the answers

What is descending order?

Exponents from highest to lowest. Signup and view all the answers

What is the distributive property?

To give out. Signup and view all the answers

What is x + x?

2x. Signup and view all the answers

What is (X)(X)?

X squared. Signup and view all the answers

What are like terms?

Same base to same exponent. Signup and view all the answers

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.