Education: Page 35

You Tube User robichaudd teaches you how to simplify a complex fraction with 3 fractions top and bottom. Your result should be 1 fraction over 1 fraction. To do this you must find the L.C.D. at the top, which x cubed. That is the largest variable there. Thus, the L.C.D. at the bottom is x squared. Now you want to make each x below the fraction line be x cubed, respectively x squared. You then have one large fraction over one large fraction. But that is just one large fraction multiplied by the...

In this video the instructor shows how to multiply and write rational expressions in lowest terms. The fist thing you need to do is cancel out the common factors in the numerator and the denominator. You can cancel a term in the top with a term in the bottom even if they are diagonal as long as one is in numerator and the other is in the denominator. After cancellation if you have a term in numerator and an identical term in the denominator but with opposite signs, then pull out the negative...

In this video the instructor shows how to sketch the graph of x squared and square root of x. The first equation is the x squared which is y = x * x. Now to sketch this take a sample values of x and substitute in the equation to get the value of y. Similarly find the set of points for the equation. Finally plot these points and sketch this graph which is in the form of a parabola. The curve is in the form of alphabet 'U' with its vertex at the bottom. Now similarly take the square root of x...

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 collecting the like terms. In case you see any common factor across all the terms, pull it out and tag it to the parenthesis. In this way, you can factorize the equation. Next, bunch together your like terms and sum them up. The...

It is easy to find out that right triangle is only half of the square. And again there is a rectangle with a triangle shaded in red color. The red triangle is half the area of the rectangle. But to calculate just the area of triangle, we can calculate the area of the rectangle whose area is length times width. When we have a rectangle with its length and width as 4u and 2u respectively then the area of that rectangle will be equal to 8u(squared). But we already know that the triangle is half of...

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 3/4, and 2. She explains how to find the next three numbers following the same pattern. The teacher in the video tells that the key in solving the problem is to think of 1 1/2 as 1 2/4. Each number in the given problem is...

In this video, Robert will teach you how to write a Japanese poem called a haiku. First, you will learn a bit about what a haiku is, as well as its structure. A haiku is a poem with three lines: the first is five syllables long, the second is seven syllables long, and the third is five syllables long. You will learn that haikus can be about anything; there is no standard "rule" to follow involving what you write. It doesn't have to rhyme, and it can be about anything, even thoughts. During the...

The video is about how to find the variance of the set of data. They found the variance by using the variance formula. Variance formula was represented by square of S, whereas S is the Standard Deviation.

In this video the instructor shows the different methods of solving quadratic equations. There are many methods to solve quadratic equations each with its pros and cons, each method suitable for a particular situation. The first method to solve quadratic equation is factoring. The advantage of using this method is that it is quick and easy. But the problem is not all equations can be factored very easily. This method requires a lot of practice and intuition. Use this method when the...

In this video the instructor shows how to solve systems of linear equation by graphing. A system of linear equation is equations of two lines that are to be graphed on the same coordinate axes. Now take the first equation and write it to form y = mx + b. Now extract the value of slope m and graph the line as shown in the video. Similarly graph the equation of the second line as shown in the video. Now if the two lines intersect at a point, that point is the solution to the system of that linear...

In this how-to video the person gives a detailed evaluation of the functions of the ti-89 calculator. The video is a short but informative look at the Ti-89 calculator. During the video the person shows a difficult math problem and shows how to use the Ti-89 calculator to solve that problem. The video uses some of the functions on the calculator and shows a display of where the buttons are located on the calculator. It also shows how to properly use the calculator to solve the problem while...

In this video the instructor shows how to do temperature conversions using y = m*x + b. Now if Celsius is represented by the variable C and Fahrenheit is represented by the symbol F, you can replace then in the previous equation in place of the variables x and y giving you the equation C = m*F + b. Now to solve for the values of the constants m and b you need to have values of two sample temperatures in both Celsius and Fahrenheit. Take the first sample and substitute in the above equation...

Taking this formula 9x²+y²=9 your instructor shows you how to find the solution for the variable y. Finding a second derivative is no more difficult that finding the first derivative, you only have to do the problem equation through twice. The derivative of 9x² will be 18, of y² will be 2y [this is the same as 2(y), 2 x y or 2 * y]. The problem now goes -18x + 2y dy/dx=0. This equation is solved for dy/dx making the next step in the problem go -18x 18x+2y dy/dx=0-18x, 2y dy/dx= -18x. The next...

In this video the instructor shows how to graph linear inequalities. A linear in a equation is almost similar to a linear equation except for the sign in the equation. Now treat the in equation as a linear equation and graph the line. So substitute the lesser than or greater than symbol in the liner in equation with the equals to sign and graph the equation. Find the slope of the equation and identify the points that the line passes through. Now take a point on the either side of the pointed...

In this video the instructor shows how to factor the GCF and difference of squares. When you are asked to factorize a number or monomial or a polynomial, the way to do is break it down into individual terms. When asked to factorize a binomial, try to pull out any common terms and factorize the simplified equation. When you are asked to factorize the difference of squares use the general formula which states that the factors of (a*a - b*b) is (a-b) * (a+b). Now substitute the given values in...

YAYMATH. This video is a demonstration of usage of the distance formula to find the distance between two given (x,y) points. In this video, the tutor guy who is teaching the distance formula to his students takes an example of two (x,y) points such as (5,-1) and (11,7). He then writes the distance formula on the board. The formula goes like this, the distance between two points, denoted by 'd' is equal to the square root of the sum of the square of (x2-x1) and the square of (y2-y1) where (5,-1)...

In this video the instructor shows how to solve rational equations. If you have fractions in your equation, then you need to factorize the denominators first. Now compute the least common denominator of all the denominators of the fraction. Next multiply both sides of the equation with the least common denominator. This cancels out all the denominators of all the fractions and you are left with a linear equation. Now simply multiply the remaining terms in the numerator and add common terms to...

Video Nerd thinks that when your doing long division with decimals you should first take out the decimal. Write the number as if it didn't have a decimal. For example if the problem was 12.5 divided by 5 then you will just use 125 and divide that by 5. Next divide the first digit of the dividend by the divisor an write the number up top. Next you multiply, after your done multiplying the numbers subtract, and when your done subtracting the numbers drop the reaming numbers in the dividend down....

In this video tutorial, viewers learn how to solve for the circumference and area of a circle. The circumference is the distance around a closed curve. The formula for circumference is C= pi x d. The diameter is two times the radius (d= 2r or r= d/2). The value of pi is approximately 3.14. The formula for the area of a circle is A= Pi x r^2. This video provides examples and demonstrations on how to use and solve with both the formulas. This video will benefit those viewers who are struggling...

This video shows the way to name a line segment. A line segment begins and ends with an end point. We can name a line segment by naming the two end points of the line segment. The example shown in the video shows a line segment that ends with points named 'A' and 'C'. So, we can name this line segment as segment 'AC'. This can also be named as segment 'CA'. The example shown consists of a point 'B' in between 'A' or 'B'. We cannot name the line segment as segment 'AB' or 'BA' and segment 'BC'...

If you are given an equation of ellipse in the form of a function whose value is a square root, you may need to simplify it to make it look like the equation of an ellipse. Now equate the function to a variable y and perform squaring on both sides to remove the radical. Now simplify the equation and get it in the form of (x*x)/(a*a) + (y*y)/(b*b) = 1 which is the general form of an ellipse. Now you will have the x and y intercepts which are a and b respectively. Using this values graph the...

This video is a tutorial on how to convert Celsius to Fahrenheit. The title of the film says it will teach you how to convert Fahrenheit to Celsius, but it does not. It does just the opposite. The video begins by comparing Fahrenheit and Celsius. He points out that Fahrenheit measures water to freeze at 32 and water to boil at 212. Celsius measures water to freeze at 0 and water to boil at 100. To convert Celsius to Fahrenheit, multiply the Celsius temperature by 1.8 and add 32. Many countries...

Algebra – The Distance Formula.This video describes how to find the distance between 2 points of a graph in a step by step method. Made by Ya Math, the instructor assists the class in finding the distance between (6,8) and (3,4) by showing us the equation d=v((x_1-x_2 )^2+(y_1-y_2 )^2 ) In this equation, 6 and 3 are the x axis numbers and the 8 and 4 are the y axis numbers respectively, thus v((6-3)^2+(8-4)^2 ) Working from the inside the radical, the instructor subtracts the parenthesis...

In this video, the instructor shows how to find the order of operations with fractions and decimals. If you have an equation with both fractions and decimals, you can convert the decimals to fractions, or fractions to decimals to have the entire equation in either decimals or fractions. In this video, the instructor shows how to do this in either way. To convert fractions to decimals, just divide the numerator with the denominator. This method cannot be used if the decimals are repeating...

In this video the instructor shows how to factor a trinomial with negative leading coefficient. Most of the students are confused when they have to factor a trinomial with a negative leading coefficient. But there are many ways to solve these kind of problems as shown in this video. One way you can do is that take out the greatest common factor (GCF) of -1 from the equation. So pulling the -1 gives you the original trinomial with all the signs of the terms changed. Now go on and factor the new...

This video focuses on how to do long division. She starts by dividing 1548 by 26, going incrementally between each value. She first take 26 into the first three numbers of 1548 (154) and gets 5, then takes the remainder of 24 (154-130) and brings down the 8 to get 248. She then divides 248 by 26 to get 9 with a remainder of 14. She then goes into some detail as to how to extract the decimal from the remainder by continuing the long division and adding zeros to the end of the divisor. At...

Here we look at squaring expressions that involve radicals because people tend to make some common mistakes while solving such expressions. Take 5 times the square root of y quantity squared, the answer here is not 5y. Here's the reason, square means to multiply something with itself so the square of 5 root y would be 5 root y into 5 root y. So 5 x 5 is 25 and under root y into under root y equals just y so the answer will be 25y.Now take under root of (x-3) being added into 7 quantity...

Tests can be anxiety provoking even when you are confident on the material. Try to relax and further put your mind at ease by having a good strategy for dealing with a multiple choice test . With a little bit of practice you'll by acing tests in no time.

In this video, the instructor demonstrates how to solve radical equations and inequalities. If you have an equation that contains radicals, re-,arrange the equation so that all the radicals are on one side and the integers are on the other side. To cancel a square root from an equation, square both sides of the equation. The square of the equation cancels out the square root, thereby removing the radical. Even after squaring if you still have a radical left, treat it as a new problem and apply...

The following are the steps to describe how-to factor a number:

In this video the instructor shows how to find the equation of the line given its slope and a point that lies on it. If the slope of the line is m and the point that lies on it is (x,y) then you can find the equation of the line by substituting the values in the slope-intercept form of an equation which is y = mx + b. Now substitute the values in the above equation and solve it for the value if the y-intercept y. Now you have the slope m and y intercept b. Substitute these values in the...

When you need to compute the square root of a number you can do it by breaking it into perfect squares. When you can split the given number into small perfect squares you can cancel out the square root of the expression to the square of the perfect squares. You cannot always write the number inside the square root as a perfect square, but try to write this number as a product of a perfect square and another number. Now you can pull out the perfect square out of the radical and leave the...

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 concept is used. We find the variable which when multiplied by itself for two times results in the given variable. Then we find the cube root. Here we find the number which when multiplied by itself for three times results...

This video demonstrates the way to find the area of a triangle using fraction measurements. The person presenting this video first writes the actual formula for calculating the area of the triangle. The formula is: the area of the triangle denoted by 'A' is equal to half of 'b' times 'h' where 'b' and 'h' are the base and height of the triangle, respectively. Now, to make it into fractions, he writes 'b' and 'h' over '1'. Then he asks you to calculate "what is one times 'b' times 'h'" which is...

Here we are, learning how to divide decimals. So we are dividing a whole number or a fraction by a fraction. How this presenter does this is by moving the decimal two places to the right on both the top and bottom of the sum. In other words, he multiplies the two numbers by 100. So 2 becomes 200 and .25 becomes 25. So much easier to divide 200 by 25 than to divide 2 by .25. Provided you've multiplied both the top and bottom by the same amount, the result will be the same, because the relative...

YouTube user NotesCollegeAlgebra teaches you how to interpret a graph. You will learn how to read it and extract information. You go to the graph to see that f(-4)=-2. f(1.5)=2, so it's positive. You then have the question: For what x-values is f(x)<0? You go to the graph and see that you come up with (-5,3). The x-int is (3,0) (4,0). The y-int is (0,4). The domain is (-5,4) and the range is (-4,4). You then have the question: how often does y=7/5 intercept the graph? The answer is 4 times. The...

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 the basic slope equation m = (y2 - y1)/(x2 - x1). When you have fractions you can simplify them by multiplying the denominator to the numerator on both sides. So multiply the equation by (x2-x1) on both sides. This gives...

This is a video tutorial on how to prove congruent triangles with SSS and SAS test. SSS means side-side-side and SAS means side-angle-side. For applying the SSS test of congruency, each side of one triangle must be congruent to the corresponding side of the other triangle. For applying the SAS test of congruency, two corresponding sides of the two triangles must be congruent as well as the angle between those two sides of each triangle must be congruent. Follow the rest of the video to...

Everyone floats in the Dead Sea because the amount of salt in water effects the density. Do a hands-on experiment and practice checking density. Here's a good science experiment to do in class or at home, if you have access to an electronic balance.

It is easy to make grammatical mistakes when there are, what seems like, endless rules to memorize. Focusing on a few rules at a time is helpful and today's lesson can be on how to use subject and object pronouns. If you don't know whether to use "I" or "me," it's easy to learn which pronoun when you follow a few simple tips.