Math: Page 20

A basis of algebra, slope intercept form can easily bring your equation to a graph with ease. This video will show you exactly how to graph equations using the slope intercept form.

In this video the instructor teaches how to add and subtract integers. When adding or subtracting two numbers there can be four kind of situations depending on the signs between the numbers. When you are adding two numbers which are both positive then you move forward on the number line adding the two numbers together to give the result. Similarly when adding two negative numbers together then you move left side of the number line. Go to the left by the value of first number and go further left...

In this video the instructor shows how to multiply and divide integers. When multiplying or dividing two numbers if the signs of the two numbers are same then the sign of the result is a positive number. When multiplying or dividing two numbers if the signs of the two numbers are not same then the sign of the result is a negative number. So a positive number multiplied by a positive number gives a positive number. Similarly a negative number multiplied by a negative number gives a positive...

In this video the instructor shows how to compute percentage problems. Percentage was first used in ancient Rome when the emperor Augusts levied a 1/100 of a tax on goods sold. To solve percentage problems you need to know how to convert between percentages and decimals. When you have a value in decimal, to convert it into percentage, shift the point two decimals to the right. To convert from percentages to decimals, shift the decimal two places to the left. For example to convert .50 to...

User DayTeacher helps you understand integers and the number line. When numbers were conceived, man had the basic concept of small numbers. The first things you learn in a language are numbers. The weather might have had an impact on numbers, as temperatures dropped below 0. When talking about years Before Christ (BC), you could say 1000 B.C. is actually -1000. Being in debt means negative money. Two days ago is -2 days from the time we are talking about. Integers are positive whole numbers,...

In this video the instructor shows how to factor a general quadratic polynomial. Here the first step is to identify the coefficient of the squared term. Write the reciprocal of the numerical coefficient of the squared term out side and write two separate parenthesis which are going to contain the binomials which are the factors of the original equation. The first term of both the binomials is the first term numerical coefficient times the unknown variable. Now multiply the first term numerical...

In this video the instructor shows how to solve an equation with a radical under a radical. If you have an equation with a square root on both sides, with one of the sides having another inner square root under the original square root, it can be a little tricky to solve it.

In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in this video. A fraction is nothing but a division of its numerator and its denominator. So in a complex fraction basically you are dividing two fractions. Now you can turn this division into multiplication by multiplying...

Professor ElvisZap teaches you about adding consecutive odd numbers. You can learn this faster by drawing squares near the numbers themselves. If you are doing 2x2, draw 4 squares. They will be arranged in columns of two. For 9 you will draw 3 columns of 3. 16 are 4 columns of 4. 16 is also 1+3+5+7, which are all odd consecutive numbers. 25 are 5 columns of 5, but also 1+3+5+7+9. If you start counting 1 as the zeros odd number, then 3 as the first odd number, the nth odd number will be (2xN+1).

In this video the instructor shows how to factor a polynomial. A polynomial having three terms is called as trinomial. Now if you factor it you will obtain two binomials whose product will be the original polynomial. Before factoring a polynomial you need to find out if the polynomial has a GCF. Look out for the common variables in all the three terms and pull them out which is the GCF of the polynomial. This simplifies the original equation to a polynomial which is of lower degree. Now...

This is a very interesting instructional video on how to fill a cone. Pour oil into a cone of diameter 30 inches and depth 40 inches. Now find the volume of the oil as a function of its depth. Volume = 1 over 3 phi rsquare h. We don't know the height and depth of the oil poured into the cube. Draw similar right angled triangles. In one right angled triangle the height is 40 inches and in the other triangle it is h. Similarly the height is 40 inches and h respectively. Now rover h =15 over...

Professor ElvisZap teaches you how to stretch shift and reflect the graph of a square root. A square root function is the opposite of a squared function. You start with y=square root of (x-1) it becomes 0<=x-1. then 1 <=x. You use the graph and solve it as you would for any function using small values first, then you have y=square root of x - 1, the domain 0<=x. This shifted the graph down 1 unit. 0=square root of x - 1, 1=square root of x, 1=x. Then the range is [-1 + infinity). Continue in...

The video shows us how to find the area of triangles and other geometric shapes. First, before starting to find the areas, we need to know the basics of what do those shapes actually mean and we need a little bit of vocabulary to back us up. First, the parallelograms are four sided figures with two sets of sides which are parallel to each other. The rectangles and the squares qualifies the parallelograms and also the parallelograms except that they have slanted sides and the triangles are three...

This video goes through the step by step process of doing long division with remainders. Multiple examples are used throughout the video to give the viewer a better idea of how to properly complete the difficult task. Perfect for anyone learning long division for the first time, or for anyone attempting to relearn long division after forgetting how to do the process (an all to common occurrence in a world with calculators on every cell phone).

In this video, the instructor shows how to find an unknown coordinate given the other coordinate of that point and the equation that passes thought the point. A point is said to lie on the graph, if the point can satisfy that equation of the line. To check if a particular point satisfies an equation, all you have to do is substitute the value of the point in that equation and check if it validates the equation. Now, substitute the given point with an unknown coordinate in that equation. If the...

This video shows how to find areas between curves. The basic idea is that we find the space trapped between two curves on a graph. The formula for finding this is top curve, subtract bottom curve and then integrate. The presenter shows a parabola that goes through the origin. Then he draws a line that runs through the origin. We try to find the area trapped between the two. You take your smallest x co-ordinate to the largest x co-ordinate, you take the curve on top (2x) and subtract the curve...

In this video the instructor shows how to find the slope of a line given two points that like on the line. Slope of a line is the measure of the steepness of the line compared to the angle made by the line with the x-axes. A line with positive slope slants forwards and a line with a negative slope slants backwards and a line parallel to x axes has zero slope. So if you are given two points (x1, y1) and (x2, y2), the slope of the line passing through those two points is equal to m = (y2 -...

This is a great instructional video on education. This educational video teaches you how to simplify a complex fraction with a single fraction on bottom. Let us learn this with an example. Let us assume we have to simplify the complex fraction 5 by x-4 divided by 5-4x by 5. When you simplify this you will get 5-4x over x divided by 5-4x over 5. You will now get 5-4x over x multiplied by 5 over 5-4x. This is equal to 5 over x. This is how we have to simplify a complex fraction with a single...

In this video Ken teaches you about the Pythagorean Theorem. The Pythagorean Theorem is used to find the missing length of a side of a right triangle. By watching this video, you will learn how to find any the length of any side by using a simple mathematical formula. Ken walks you through various examples changing the dimensions of the triangle you are solving as well as changing the side you are solving. Ken even includes a real world application to further your understanding of the...

In this video, the instructor shows how to multiply and divide rational expressions. To solve a rational expression that contains many terms, solve step by step by following the order of operations. Order of operations advises one to work the parenthesis part first; so solve the equation inside the parenthesis first. If you have a fraction multiplied by another fraction, first factorize the numerator and denominator of both the fractions. Cancel out any common factors simplifying it. In case...

This video shows how to find the area of a circle using a formula. The formula for area of circle is pie multiplied by square of radius. Pie is actually an infinite number but for the sake of convenience we consider the value of pie as 3.14. So we multiply the square of radius with 3.14. Radius is the distance between the center point of the circle to any of the outside arcs. It is actually half of the diameter (diameter is the distance between two arcs of a circle). As an example here the...

In this video the instructor shows how to solve quadratic equation by the square root method. The square root property of equations states that if k is positive and a*a = k, then a is equal to square root of k or -1 times the square root of k. So to solve a quadratic equation by square root property first get the equation in the form of a*a = k. Now apply the square root property explained in the previous step to get the result. The instructor now demonstrates these concepts by solving some...

In this tutorial the instructor shows how to solve equations with fractions and decimals. When you have a fraction first try to simplify it by canceling out the common factors in the numerator and the denominator. If there are any decimals convert them into fractions. Now if you have a number multiplying a equation apply distributive law and simplify the equation. Now finally try to get the variables on one side and numerical terms on the other side of the equation and finally solve for the...

The video shows us how to find the area of parallelogram using geometry. Here in this video it is done by using an example where the parallelogram is given ABCD. The area of the parallelogram is base times height (bh). Here the base is given as 15 but the height is not known but it is represented by the segment BD. To find the value of h, let's use right triangle BDC on the right side of the figure. Since base is 15 and the opposite side of the parallelogram is congruent, the hypotenuse of the...

A Teacher shows us how to graph compound sentences with the word "or" in them. These graphs will have arrows pointing out in different directions. On the number line draw arrows from the numbers in your compound sentence. So for example if after solving a problem with inequalities the problem has two possible answers that it could be, you would record both of the answers that it could possibly be. For our example we will use x is greater than seven, and x is less than three. You would then...

In this video the instructor shows you the diameter, radius and also how to find the circumference of a circle using a cookie as an example. When you draw a line against the cookie passing through its center and touching its boundaries, it is a diameter of the circle. Radius of a circle is half the diameter of the circle. The length of the circle along the border of the circle is called circumference of the circle. The formula to compute the circumference of a circle is 2 * Pi * r, where r is...

In this video, the instructor shows how to identify the percentage change using proportions. When a given quantity increases or decreases by certain amount then we can calculate the percentage change in the quantity, which can be either increase or decrease based on the new value of the quantity. To solve these kind of situations you should know that the ratio of amount of increase (or decrease) of an amount to its original amount is equal to the ratio of percentage increase (or decrease) to...

The first operations you will need to know when learning to use algebra to solve for an unknown variable "x" will be using addition and subtraction. You can check you work by checking the balance of the equation when you are done.

An educational video by http://JustMathTutoring.com that shows how to use implicit differentiation to find a 2nd derivative of an equation.

Learn and understand the basics of Trigonometry in this entertaining video. Taught by an experienced YayMath instructor, viewers gain knowledge in the study of trigonometry: the relationship of angles and the triangles they are in. Trigonometry is relevant in many forms of everyday living and careers including architecture. Watch as the experienced instructor gives easy-to-follow instructions and examples including solving "x for y" equations using the 'SOHCAHTOA' method, an abbreviation for...

In this video the instructor explains the concepts of rational and irrational numbers. Multiplying a number by itself gives the value of its square. If you apply the square root to that squared number it returns to you the original number. This square root is also called a radical. A square root of a positive number can have two values. For example the square root of 81 is either 9 or -9; this is because when you multiply 9 with itself the square is 81 and even when you multiply -9 with itself...

This video shows the method to graph a linear function by finding the X and Y intercept. Only two points are needed to graph linear functions. So we find the point on Y axis or the Y intercept and the point on the X axis or the X intercept. We notice that on the Y axis the X coordinate is zero. So, we find the Y intercept by putting x=0 in the given equation and solving for y. In the same way, we find the X intercept by putting y=0 in the given equation and solve for x. We join the two points...

This is a educational instructional video on mathematics. This video teaches you to find the reminder in algebraic long division. Let us take an example. Divide xcube+2xsquare-3 by x-2. When you divide you will get xsquare first. You will get xcube-2xsquare. Now subtract this from xcube +2xsquare. You will get 4xsquare. Now you have to divide 4xsquare+0x by x-2. Now you will get 4x. Now you have to subtract 4xsquare-8x from 4xsquare+0x. You will get 8x. Now you have to divide 8x-3 by x-2. You...

In this video the instructor shows who to simplify radicals. If you have a term inside a square root the first thing you need to do is try to factorize it. First factorize the numerical term. Write down the numerical terms as a product of any perfect squares. Now split the original radical expression in the form of individual terms of different variables. Now you can pull out the perfect square numerical factors out of the radical. Similarly for the variable terms write the variables as power...

This is an introductory educational video that shows how to find the area of a triangle with decimal measurements.

In this video the instructor shows how to solve linear absolute value equations and inequalities. You need to remember basic rules to solve these kind of problems. When the absolute value is equal to a number then the real value of it is equal to either the positive value of that number or negative value of that number. In case the absolute value is less than or equal to a number, then the real value lies in between the positive and negative values of that number. In the third case, if the...

This video shows how to compute the area of a rectangle given the length of one of its sides and its diagonal. First start by drawing the picture of the rectangle. Now draw the diagonal and label the known lengths. In the diagram, the diagonal and two sides of the rectangle form a right-angled triangle. The breadth of the rectangle can be computed using the Pythagorean theorem. Finally, compute the area of the rectangle by multiplying its length to its breadth.

You can draw intercept in graph. The teacher took 4x + 3y =12 for solving using intercepts and told that the standard form of the equation should have X and Y terminal at the left side and constant at the right side.

In this video the instructor teaches about inverse functions. Normally in inverse functions problems you are given a function that has a set of points and you are asked to find the inverse of that function. So if the function has a point in the form (x, y) then the inverse function has its points in the form of (y, x). Now when you are given a function f(x) that is in the form of x and asked to find its inverse, equate the function to y. Solve the equation to get the value of variable x in the...

In this video the instructor shows how to factor the difference of squares using a formula. The formula to find the difference of squares can only be applied if you have two perfect squares. The formula is (a * a - b * b) = (a - b) * (a + b). That is the difference of squares of two numbers is the product of sum of two numbers and difference of two numbers. So when you need to find the difference of squares of two numbers substitute the values in the above formula to directly solve for the...