Algebra Grade 9: Coefficient, variable, constant

This section introduces the fundamental components of an algebraic expression: the coefficient (the number in front), the variable (the letter), and the exponent (the power). Examples are provided to illustrate these terms.

The video explains how to categorize algebraic expressions based on the number of terms they contain. A monomial has one term, a binomial has two, and a trinomial has three. An analogy to bicycles and tricycles is used to clarify these concepts.

This part details how to identify the coefficient of a specific term and defines what a constant term is. A constant term is a number that does not have a variable and therefore cannot change, unlike terms with variables.

Expressions with more than three terms are generally referred to as polynomials. The video then explains how to arrange terms in descending or ascending order based on the powers (exponents) of the variable. Descending means from largest exponent to smallest, and ascending means from smallest to largest.

This section provides a practice exercise to reinforce the concepts of arranging terms in descending order and identifying the coefficient of a specific term, including remembering to include the sign.

The video concludes with a final practice question, arranging terms in ascending order, counting the total number of terms, and identifying the coefficient of a specific term along with its sign.