How to Solve for a Variable with Fractions

How To : Find the point slope form of a line equation

This is a mathematical instructional video on finding the point slope form of a line equation. This technique allows you to find the x and y intercepts of a line. The point slope form is (y-y1)=m(x-x1). The instructor tells you what each of the variables represents, and shows ...more

How To : Factor and collect like terms

In this video, the instructor shows how to collect like terms and factorize. When you are given a linear equation, the first thing you do is to try to organize it. Pair up the like terms. Add the numerical coefficients of terms with the same variables. This is called collectin ...more

How To : Understand nth roots and operations on radicals

This video teaches us the concept of nth roots. The video starts with the square root of constants. We find the number which when multiplies by itself for two times results in the constant inside the square root. Then we find the square root of variables. Here again the same c ...more

How To : Solve an equation using the point slope form

In this video the instructor shows how to derive a general equation for a line in Point-Slope form. The slope of an equation is the ratio of difference of y coordinates to the difference of x coordinates. In other words, slope is the change of y up on change of x. So you have ...more

How To : Solve direct & inverse variation word problems

In this video the instructor teaches about direct and inverse variation. Two variables x and y are said to be in direct variation with each other if you can write them in the form y = K * x. The value of y varies directly corresponding to the value of x. Y is said to be direct ...more

How To : Calculate a limit by getting a common denominator

This video explores how to get the limit by getting a common denominator. When you try and plug in a limit, for example when the denominator goes to zero, you can get yourself into a situation where you get the answer (0/0) which is mathematically irrelevant. To solve this pro ...more

How To : Multiply rational expressions

The video describes the basic process of multiplying two rational expressions. The problem illustrated in this video involved multiplying rational expressions of monomial terms with integer coefficients. As with the other example problems, we follow the steps of: factoring, ca ...more

How To : Divide rational expressions containing trinomials

In this video the instructor shows how to divide rational expressions that contain trinomials. A division containing two fractions can always be turned into a multiplication by multiplying the first fraction by the reciprocal of the second fraction. This way any division can b ...more

How To : Convert percents to fractions.

The video shows on a simple example how to convert a given percentage into a fraction. It requires basic knowledge about simplifying fractions. This how-to video does not feature spoken word or any kind of sound. The explanation is done with animated figures and explanatory wr ...more

How To : Convert units

In this tutorial the instructor shows how to convert lengths between different units. He show a two step approach where in the first step he setups a relation between centimeters and meters showing that 100 cm equals 1 meter. Now he writes it down in a fraction form and equate ...more

How To : Add & subtract monomials in polynomials

In this video the tutor shows how to add and subtract monomials. He says that to add or subtract monomials they have to be similar terms. Similar terms are those that have same variables and equal exponents to the variables. He shows how to do this using illustrative diagrams ...more

How To : Multiply fractions and reduce your answer

In this tutorial the instructor shows how to multiply fractions. He shows how to do these kind of problems by solving an example. He says that while multiplying fractions we directly multiply the numerators to obtain the new numerator and then we multiply the denominators to o ...more

How To : Derive the equation of a straight line

In this tutorial the instructor shows how to derive a straight line equation. He shows us a process that consists of two steps. In step one he uses the slope formula to obtain the slope of the line which is the ratio of difference of y-coordinates and difference of x-coordinat ...more

How To : Use the Complex Trinomial factoring method

A video from free math tutoring that teaches you a method of factorization of a complex polynomial. The tutor shown in the video demonstrates how to factorize common functions of a variable by the factor method. This video isn't for advanced learners of mathematics. It is for ...more

How To : Divide fractions as taught by a 6th grader

In this video title 'A Quick Look at Dividing Fractions', the tutor Phillip shows how to divide fractions. He says that division of two fraction is nothing but multiplication of the first fraction by the reciprocal of the second fraction. So essentially the initial division tu ...more

How To : Understand the central limit theorem

Central limit theorum is easily one of the most fundamental and profound concepts in statistics and perhaps in mathematics as a whole. In probability theory, the central limit theorum (CLT) states conditions under which the mean of a suffiently large number of independent rand ...more

Scrabble Bingo of the Day : ISOPLETH

ISOPLETH 63 points (13 points without the bingo) Definition: a type of isogram [n] Okay... in order to know what an isopleth is, you first have to know what an isogram is... An isogram (or isoline) is a contour line on a map connecting points of equal value. In other words, ...more

How To : Simplify complex rational expressions

In order to simplify complex rational expressions, it is important to be able to find the lowest common denominator. Complex rational expressions are fractions that are divided by fractions. When you have found the lowest common denominator, then, you should multiply both frac ...more

How To : Understand fractions with patterns

This is an educational site where we can learn about math lessons with example videos, interactive practice problems and can do self-test. The associate teacher in the video teaches us about fraction problems. She has written four numbers on the board, which is 1 1/4, 1 1/2, 1 ...more

How To : Divide fractions with a simple method

This video describes how to divide fraction values using simple method. Example we will take as in video "12" should be divided with "1/2" that is "12%(1/2)=?". This is the example we should solve. In first step we has to flip the "Denominator" to easily find the output. So no ...more

How To : Reduce fractions for easier manipulation

You should always try to reduce a fraction until it can't be reduced anymore. To do this, look at your fraction and figure out the greatest number BOTH the numerator and denominator can be divided by. This is called the GCF - the greatest common factor. In the video, the probl ...more

How To : Divide fractions in math

When you see a problem involving a fraction, don't freak out. Dividing fractions is actually fairly easy once you learn the simple formula of how to do it. Math can be scary, but don't give up. Follow these simple steps, and soon you'll be dividing fractions like a pro. Step ...more

How To : Graph square root functions & inequalities

On Yay Math, Robert Ahdoot, founder of Yay Math, will show you some square root functions and some inequalities. He begins with the problem y=x². Then he makes a sketch with two intersecting lines in a t shape. The problem is illustrated by a curved U shape, the U's bottom res ...more

How To : Solve Proportions

The Solution The first step to solving proportions is cross multiplying. For example, we are told to solve the proportion 13/3 = x/9. We cross multiply 13 •9 and 3 • x. Remember, the equal sign does not go away, so don't forget about it! The equation is now 3x = 117. We need ...more

How To : Solve Proportions

In this how to you will learn about proportions. A proportion is comparing two ratios. Here is an example of a problem. First, you cross multiply and show your work. Next, you simplify. After, in order to get the variable alone, you divide each side by four. Since you can't di ...more

How To : Scale Factor

What Is Scale Factor? Scale factor is the ratio of the length of the scale drawing to the corresponding length of the original object. Solving Problems We are told to find the scale factor when we are given the original and new dimension of an object. The formula for questi ...more

How To : Pythagorean Theorem

What Is Pythagorean Theorem? Pythagorean Theorem is an equation discovered by a man named Pythagoras. It can be used to determine whether or not a triangle is a right triangle and find missing lengths of a triangle. The equation is: Parts of a Triangle The hypotenuse is the ...more

Slow Down : Too Much Productivity Can Be a Bad Thing

Our workdays are typically filled with one thought: get as much completed as possible. Whether you face an inbox filled with tasks or just a project or two, both our bosses and our inner workhorses encourage us to knock out as many tasks as we can each day. But is being super- ...more

News : Hackers and Their World

I was bored when I found this piece of literature: ==Phrack Inc.== Volume One, Issue 7, Phile 3 of 10 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= The following was written shortly after my arrest... \/\The Conscience of a Hacker/\/ by ...more

How To : Turbo Ping Sweeping with Python

Why did I write this when they're tons of scanning tools available. Let's start with a real world situation. I sometimes visit clients sites that I need to obtain a usable IP address for a server or whatever. Believe it or not, they are networks that are configured with class ...more

How To : Programming in C:Getting Started[Part 1]

What is Programming? Why need to learn? How to get started? Which language to choose? While surfing web, you must be encountering various softwares, games, etc. and might be thinking to make one, but don't know where to start. Here, I am starting series in Programming. So, w ...more

How To : A Hacker's Guide to Programming Microcontrollers

While hackers know and love the Raspberry Pi, many don't know of its cheaper cousin, the microcontroller. Unlike a Pi, which can be used more or less like a regular computer, microcontrollers like the Wi-Fi connected ESP8266 require some necessary programming skill to master. ...more

News : Everything You Need to Know About the OnePlus 7 Pro

The OnePlus 7 Pro is definitely a beast on paper. With a specs page that ticks virtually every box and a price point that undercuts the competition by hundreds of dollars, it's hard to overlook this phone. But before you get too excited, know that OnePlus has repeatedly shown ...more

How To : The Top 80+ Websites Available in the Tor Network

There are nearly 100,000 unique onion service addresses online with over two million people using Tor every single day. Join me as I explore a small fraction of what the Tor network has to offer. It's puzzling to imagine about 100,000 .onion websites in existence. Readers who ...more

How To : DIY Stick Welder from Old Microwave Parts

Lurking inside your old junk microwave is an abundance of useful parts that can let you melt metal, spot weld, and make electrifying Jacob's ladders. You can even make a powerful AC arc welder, perfect for making hard-to-solve puzzles and even makeshift weapons for the zombie ...more

How To : Hide DDE-Based Attacks in MS Word

In a previous article, we learned how to take advantage of a feature, Dynamic Data Exchange (DDE), to run malicious code when a Microsoft Word document is opened. The biggest challenge of this attack is that it requires getting the user to agree to a pop-up prompt. Fortunately ...more

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