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This pre-algebra math tutorial from NutshellMath offers homework help in working with equations and functions. Equations are algebraic statements that equate two algebraic expressions. These expressions can contain one or more variables. A solution to an equation is a collection of values of the variable or variables for which the equation is true.
This tutorial focuses upon equations with two variables, of the form y=mx+b, where m and b are constant, and y and x are variables. Such equations are called linear, as the set of solutions to the equation is represented by a line within a coordinate plane. The teacher demonstrates how to find this solution set by choosing values for x and evaluating for the corresponding y values. Such individual solutions are written as ordered pairs. After collecting several ordered pairs in a table, a graph of the line can be drawn. To do so, plot all the ordered pairs, and connect them with a line. This line represents the solution set to the equation.
An equation can be called a function if for every x value in the domain, or set of possible x values, there is only one corresponding y value in the range, or set of possible y values. The tutorial introduces the 'vertical line test' to determine if an equation is a function when looking at a graph. Examples in this tutorial reinforce the concept of a function as a specific class of equations.
Understanding equations and functions is central to mastering algebra. The instruction in this tutorial introduces the concept of equations and functions and explores the finding of solutions through the graphing of linear equations.
This pre-algebra math tutorial from NutshellMath offers homework help in working with equations and functions. Equations are algebraic statements that equate two algebraic expressions. These expressions can contain one or more variables. A solution to an equation is a collection of values of the variable or variables for which the equation is true.
This tutorial focuses upon equations with two variables, of the form y=mx+b, where m and b are constant, and y and x are variables. Such equations are called linear, as the set of solutions to the equation is represented by a line within a coordinate plane. The teacher demonstrates how to find this solution set by choosing values for x and evaluating for the corresponding y values. Such individual solutions are written as ordered pairs. After collecting several ordered pairs in a table, a graph of the line can be drawn. To do so, plot all the ordered pairs, and connect them with a line. This line represents the solution set to the equation.
An equation can be called a function if for every x value in the domain, or set of possible x values, there is only one corresponding y value in the range, or set of possible y values. The tutorial introduces the 'vertical line test' to determine if an equation is a function when looking at a graph. Examples in this tutorial reinforce the concept of a function as a specific class of equations.
Understanding equations and functions is central to mastering algebra. The instruction in this tutorial introduces the concept of equations and functions and explores the finding of solutions through the graphing of linear equations.