The focus of our previous tutorial was about the equation of a parabola. A parabola that has its vertex at the origin is of the form: $$y^{2}=4 p x$$ From this general equation, we can readily determine if the parabola opens upwards, downwards, left, or right.

We are already aware of the solution of a system of two linear equations. To find a solution to a system of linear equations, we apply the Gaussian elimination, algebraic substitution, or graphical method. We covered that in our previous tutorial.

Rates of doing work differ from person to person. Even if they are machines, their rate of doing work is slightly different even if they look very identical. Think of taps filling a tank. We can’t assume that both can take the same time filling the tank. That is because we don’t know about the water pressure from the source.

Any object that moves covers a distance over time. Using these two parameters, we can calculate the speed. Speed is simply the rate of displacement. There is a formula that connects these three entities. If you encounter any distance, speed, time graph, then remember that the formula is the only way to finding the solution.

It is easy to calculate the distance between two points by applying the Pythagoras theorem. Using the coordinates of the two points, you can calculate both the vertical and horizontal distances. You can then calculate the diagonal of the right-angled triangle formed.

Logarithms borrow more from exponents. If you have the knowledge of exponents, including laws of exponents, then evaluating any logarithmic equations will not be a problem. In this tutorial, we will discuss how to evaluate basic logarithms without a calculator.

Evaluation of logarithmic equations is simple when you know the laws and properties of logarithms. Even that seemingly complex problem can be simple to solve when you know what properties to apply. In this tutorial, we will state all the properties and look at some examples of how to apply them.

There is nothing unique about linear cost functions if you are already familiar with general linear functions, which are of the form $$y=m x+c$$ The equation is not new to you, right?

In this lesson, you will learn straightforward ways to solve exponential equations. It is easy to convert exponential equations to logarithmic equations. After conversion, you apply the laws of logs to solve the resulting equation. In other words, solving exponential equations involves conversion to logarithms as the first step.

In a previous lesson, you learned how to find a logarithmic base. Therefore, we will assume that you already know all the log laws and their applications. In this tutorial, we will be focusing on how to solve logarithmic equations using those laws that are in your arsenals.