Algebra 2
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Solving Equations
In order to solve an equation, the values of the variable which satisfy the conditions of the equation must be found.
To find the roots of an equation, the value(s) of the variable are found when the equation is equal to zero, f(x) = 0.
When an equation is plotted on a graph, the roots are the points where the graphed function crosses the x-axis.
In order to solve a system of equations, the value(s) of the variable must be found which satisfies the whole system of equations. This is the point of intersection of the equations.
Solving Linear Equations
Linear equations have a degree of one and may contain one or more variables. When plotted the linear equation is a straight line.
Graphical Methods
From the graph, the point where the line crosses the x-axis is the root of the equation.
Algebraic Methods
If the equation contains one variable, x, then it can be solved by rearranging the equation and isolating the variable on one side of the equals sign.
If the equation contains two variables, x and y, then it can be solved by letting the y variable be equal to zero.