15 May

How To Write Equations Of Perpendicular Lines

2021-06-11T01:05:40-04:00May 15th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

Two perpendicular lines form an angle of 90o at the intersection point. That is, they make 90o at the intersection point. To know that a line is perpendicular to another line, check its gradients or slopes.

14 May

How To Find the Vertex of a Parabola

2021-06-11T00:03:55-04:00May 14th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

13 May

The Intersection of Line and Parabola Example

2021-06-11T00:16:11-04:00May 13th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

12 May

Shared Work Word Problems

2021-06-03T00:13:39-04:00May 12th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

11 May

What is The Relationship Between Speed, Distance And Time?

2021-06-11T00:20:50-04:00May 11th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

10 May

How To Calculate Distance Between Two Points

2021-06-11T00:45:38-04:00May 10th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

9 May

How to Evaluate Basic Logarithmic Equations?

2021-05-25T06:14:01-04:00May 9th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

8 May

What Are Logarithm Laws And Properties

2021-05-25T06:47:41-04:00May 8th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.

7 May

What Is A Linear Cost Function

2021-06-11T00:55:46-04:00May 7th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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?

5 May

How to Solve Exponential Equations?

2021-05-25T07:19:28-04:00May 5th, 2021|Brain teaser, FPLA Winning Strategies, Home School, Math-e-Magics, SAT, ACT, PERT, HSPT|

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.