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There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.

Systems of equations are classified as independent with one solution, dependent with an infinite number of solutions, or inconsistent with no solution. One method of solving a system of linear equations in two variables is by graphing. In this method, we graph the equations on the same set of axes.

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z), ( x , y , z ) , is called an ordered triple.

Classification of algebraic expressionsMonomial: An algebraic expression containing only one term is called a monomial. For example; 3x, -7, 2075/2089 a²bc are all monomials. Binomial: An algebraic expression containing two terms is called a binomial. For example; x 7, 5x + 9y, ab + care all binomials.

There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables. An equation is written as two expressions, connected by an equals sign ("=").

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.

There are three classifications of solutions to linear equations: one solution (unique solution), no solution, or infinitely many solutions.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.