# Algebra Homework Help : Algebraic Terms and Definitions

## What are Some of the Commonly Used Terms in Algebra?
In algebra, the letter that stands for an unknown number is called a variable. The variables in 8x
The number that multiplies a variable or variables is called the coefficient. It is usually written in front of the variable or variables. The coefficient in 9yz
The power to which a variable is raised is called the exponent. The exponent in 7a
Any number or variable or product of numbers and variables is called a monomial. Each of the following is an example of a monomial :
A monomial or the sum of two or more monomials is called a polynomial. Each of the following is an example of a polynomial :
Each monomial that makes up a polynomial is referred to as a term of the polynomial.
A polynomial that has two (unlike) terms is called a binomial (e.g., 6a
A polynomial that has three (unlike) terms is called a trinomial. (e.g., 3x + 5y + 7z and 6x
Like terms are those that have exactly the same variables and exponents. They may differ only in their coefficients. Importantly, the only algebraic terms that can be combined (added or subtracted) are like terms. Thus, 7y
A collection of algebraic terms connected by mathematical symbols is called an algebraic expression, and an algebraic expression whose parts are not separated by + or − signs is called a term. Thus, 5x
A statement that two algebraic expressions are equal is called an equation. Each of the following is an example of an equation :
An equation where the highest power to which a variable is raised is one is called a linear equation. Thus, 3x − 7 = 7x + 3 is an example of a linear equation.
An equation where the highest power to which a variable is raised is two is called a quadratic equation. Thus 3x
An equation where the highest power to which a variable is raised is three is called a cubic equation. Thus 7x
An equation where the highest power to which a variable is raised is four is called a quartic equation. Thus 7x Practice Exercise for Algebra Module on Algebraic Terms & Definitions Practice Exercise for Algebra Module on Algebraic Terms & Examples |

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