You calculate basic or advanced (Trig) mathematical equations. On some graphing calculators, programs can be made.
Whatever is done on one side of the equations must be done on the other side of the equation to keep it in balance.
A basic equation for the formation of rust is 4Fe + 3O2 --> 2Fe2O3
There are several methods to do this; the basic idea is to reduce, for example, a system of three equations with three variables, to two equations with two variables. Then repeat, until you have only one equation with one variable. Assuming only two variables, for simplicity: One method is to solve one of the equations for one of the variables, then replace in the other equation. Another is to multiply one of the equations by some constant, the other equation by another constant, then adding the resulting equations together. The constants are chosen so that one of the variables disappear. Specifically for linear equations, there are various advanced methods based on matrixes and determinants.
y=2x+12 7x+y=24 (as there is y in both equations you can assume that the equations are equal to each other, so substitute) 7x+2x+12=30 (solve) 9x=18 x=2 (substitute into the first equation to solve for y) y=(2x2)+12 y=16
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
The general technique for graphing quadratics is the same as for graphing linear equations. However, since quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear equations, there are some additional considerations.The most basic quadratic is y = x2. When you graphed straight lines, you only needed two points to graph your line, though you generally plotted three or more points just to be on the safe side. However, three points will almost certainly not be enough points for graphing a quadratic, at least not until you are very experienced. For example, suppose a student computes these three points:Then, based only on his experience with linear graphs, he tries to put a straight line through the points.
There are a variety of algebra worksheets available at www.kutasoftware.com. Some include basic algebra, polynomials and linear equations.
The basic idea here is to look at both equations and solve for either x or y in one of the equations. Then plug the known value into the second equation and solve for the other variable.
Calculate the coordinates of three points, and plot the points on the graph. Draw a straight line through them.To calculate the coordinates, assign any value for "x", replace in the equation, and solve for "y".Note that two points are enough in theory; the third is for additional verification, in case you commit some mistake.
The basic is as follows:Assets = Equity + Liabilities(A = E + L)The extended equation is as follows:Assets + Expenses = Equity + Liabilities + Income(A + Ex = E + L + I
A Texas Instruments graphing calculator can be used as a basic calculator, a scientific calculator and a graphing calculator.