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How To: Solve an algebraic equation

Math can be tricky, especially when you're trying to decipher algebra. It's a love-hate thing; if you don't love math, then you hate it, and there's no in-between. But it doesn't have to be a pain to solve a few problems. It's actually quite simple once you figure it out. An algebraic equation is an equation that includes one or more variables. These equations can be solved as long as the number of variables does not exceed the number of equations.

How To: Solve problems involving rational equations in algebra

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to find answers to rational equation problems in algebra.

How To: Solve non-linear systems of equations by graphing

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to solve non-linear systems of equations in algebra.

How To: Solve a quadratic equation with the quadratic formula

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to solve quadratic equations by applying the quadratic formula.

How To: Solve word problems containing radical equations

See how to unpack and solve a word problem containing radical equations with this free video math lesson from Internet pedagogical superstar Simon Khan. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Solve simple radical equations in algebra

See how to unpack and solve radical equations in algebra with this free video math lesson from Internet pedagogical superstar Simon Khan. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Balance chemical equations properly

Confused by the equations in chemistry class? This tutorial is here to help! Clark College Tutoring and Writing Center tutors Kevin Martin and Joey Smokey explain how to balance chemical equations, providing examples and tips in this two part video series. You will definitely improve your test scores after watching this step by step program.

How To: Find the equation of the axis of symmetry

This video is about the Equation of Axis of Symmetry, The video is about the equation which is x = 3/4. In order to score correct marks for this equation, the gentleman in the video describes how and where to write x = 3/4, he says it has to be written on the graph, and the video contains the example graph. It is quite an interesting educational video, especially for those doing mathematics and want to learn more online, this video is very useful for students. There is more about the equation...

How To: Write a slope-intercept equation given an X-Y table

In this tutorial the author shows how to derive a slope-intercept equation of a line given an X-Y table. He explains that the general form of slope intercept form which is y = m*x + b. Now he intends to find value of slope, i.e. m first. Now slope is change in y over change in x. He computes the slope using the X-Y values from the table. Next he substitutes a pair of x, y value in the equation to compute the value of y intercept b. Now finally substituting the values in the equation the slop-...

How To: Easily balance a chemical equation

In this video, we learn how to easily balance a chemical equation. In a balanced equation, there should be the same number of atoms on both sides of it. There are no rules that explain how you get a balanced reaction from expression. First, start on the molecule or compound that is the most atomically complex. After you look at this, you can learn how to make the rest of the equation equal to each side. This is a complex process that you must walk through to figure out, but it will result in ...

How To: Solve a system of linear equations via substitution

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to graph and solve linear systems using substitution in algebra.

How To: Solve algebraic equations by the distributive property

The distributive property can make quick work of an algebra problem that might, at first blush, appear very daunting. See how to use it with this free video math lesson. Need help finding the From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this instal...

How To: Solve equations with the order of operations

In mathematics, the order of operations define the priority in which complex equations are solved. The top priority is your parenthesis, then exponents, followed by multiplication and division, and finally addition and subtraction (PEMDAS). This video tutorial demonstrates the order of operation with various examples and explains the associated methodology. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autod...

How To: Solve for X in algebra

This video demonstrates how to solve for X in algebra. The equation taken for this is 2X+4=10.The first thing you have to do to solve this equation is to get X by itself on one side of the equation. In order to do that you take the number that does not have X with it and do the opposite operation that has been done. So in the equation here we have plus four so we subtract four from both sides of the equation. What we do to one side of the equation has to be done to the other side of the equat...

How To: Balance chemical equations using a simple method

In this video, we learn how to balance chemical equations using a simple method. Start out by writing your two chemicals next to each other. After this, you will need to write out how much of each atom each of the chemicals has. Now you will have a better idea of how you need to balance out each of the different equations. Make a chart of all the elements that are involved, then you can solve it. Use simple addition to add together the atoms of each and then write out the correct answer in th...

How To: Rationalize square roots

In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here, this will make the square root go away, so your equation will be normal numbers. After you have done this, you will have the equation answered and you will be able to simplify it to find the end answer. You can do this...

How To: Balance chemical equations properly

In this video, we learn how to easily balance chemical equations. There are two sides of a chemical equation, both must be equal to get the proper reaction. To balance these out, first write out the number of atoms that is on each element on each side of the equation. After this, you will need to find the multiple between the matching elements. Once you find this, you will be able to balance out the equation for each of the elements. When you do this, you will have the same mass and atoms on ...

How To: Balance chemical equations the fun way

In this video we learn how to balance chemical equations the fun way. First, remember that matter cannot be created or destroyed. Take two different types of chemicals and put them on opposite sides of the equation. If you have more mass on one side than the other, these will not balance out. Once you have equal amounts of mass on both of the sides, you will be able to balance the chemical equation. Remember this rule whenever you are balancing out chemical equations. Use visual markers to he...

How To: Solve quadratic equations with the quadratic formula

See how to use the quadratic formula to solve quadratic equations with this free video algebra lesson. Solving quadratic equations is a cinch once you know the proper method to tackle them. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test).

How To: Use a TI89 calculator to graph linear equations

This video shows the user how to use a T189 calculator to plot linear equations. The video demonstration is done using an ‘on screen’ representation of the calculator – there are also verbal instructions. The equations are plotted on the same axis by selecting the ‘y=’ function. The corresponding values of y in terms of x are then inputted into the graphical calculator. Once this has been done for every equation you can get the calculator to display the graph. This then allows you to compare ...

How To: Graph linear equations with a table of values

The author teaches us how to graph the linear equations with tables. Given a set of linear equations in terms of "x and y", first we have to draw a table having a column each for x and y. We have to enter an arbitrary value of x in that table and substitute that value in the given equation to get the corresponding y value. Once you obtain both x and y values, the next step is to plot them in a graph. Consider an example: in the linear equation x=2y,on substituting an arbitrary value of x=2,we...

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 an example. He then shows you how to find the slope-intercept form from the point slope form. Finally, he shows you how to graph the line using both of the equations. He shows you how to find the equations with different...

How To: Graph x squared & the square root of x

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 e...

How To: Complete the square and solve the quadratic equation

In order to solve a quadratic equation by completing the square, take a quadratic equation and make sure that the coefficient of the first squared term in one. If it is not factor it by pulling the term out to get it to one. Now just write down the first two terms in side a bracket and after it add the third term. Now take the coefficient of the x term and take one half of it and square it and put that number back into the bracket. Now as you added a new number, to cancel it out subtract it f...

How To: Simplify a complex fraction w/ binomial denominators

To simplify a complex fraction, turn it into one fraction on the top divided into a fraction on the bottom. Once this is complete, you will turn the division into the two into a multiple by the reciprocal, factor, and then cancel. To make a division, find the lowest common denominator of both the top and the bottom. Once you get this division equation, look carefully at the equations. If something can be easily canceled, go ahead and cancel it out at this time. If you cannot cancel anything a...

How To: Balance a chemical equation with ease

Learn how to balance the three different types of chemical equations in simple steps. First take an equation, write down its reactants and products and write down the names of all elements. Now write down how many of each element are present in the equation. Now check which element does not match, in this case the Oxygen doesn't match. Now multiply the element or compound starting at two but now hydrogen doesn't match. Try to match them by multiplying the coefficients but now sulfur doesn't m...

How To: Complete the square to graph a quadratic function

In this tutorial the instructor shows how to complete the square to graph a quadratic function using transformations. You can do this by transforming your equation in a series of steps. First make the coefficient of the square term to one by pulling out its numerical coefficient. Now to complete the square of the first part add half the coefficient of the variable with a degree one. Now to maintain the original value of the equation also make sure that you subtract the same value from the equ...

How To: Simplify a quadratic formula result

In this video the tutor shows how to simplify a quadratic formula result. You can solve a quadratic equation using the quadratic formula. The first thing you have to do when given the quadratic equation is bring all the terms to one side so that you have a zero on the other side of the equals to sign. Now the formula to calculate the roots of the quadratic equation ax*x + bx + c = 0 is x = (-b + root of(b*b - 4*a*c) ) / 2 * a. The other root can be obtained by using the minus sign before the ...

How To: Write the equation of a circle in standard form

Here you'll be shown how to take the equation of a circle, and convert it into standard form. Also, it will be explained just what standard form is, while running through the process of conversion. You'll be able to use techniques to quickly work off the numbers on the equation, one by one, until it's simplified enough to understand. Complicated algebra functions become much simpler when you see these easy to use techniques, that will help you rearrange the equation into a form that is actual...

How To: Solve a rational equation with no solution

This is a very interesting mathematical instructional video on how to find rational equation with no solution. How to solve the equation and check the answer. Let us take the example m over m-3 minus 4 is equal to 3 over m-3. In this equation we get m-4m+12 over m-3 is equal to 3 over m-3. When we simplify it further we get -3m +12 = 3. Or -3m = -9 and m = 3. This video teaches you very clearly how to solve a rational equation with no solution.

How To: Solve a system by the elimination method

In this video the instructor shows how to solve a system of equations by elimination method. First you need to know how many possible number of solutions you can get by solving a system of equations. There are three possibilities. In the first case there are two lines with different slopes, so they intersect at a point which is the solution to that system. In second case there can be two lines with same slope but are parallel to each other. In this case the system has no solution. In the thir...

How To: Find the equation of a tangent line

This is the video about how to find the equation of a tangent line. As you may recall, a line which is tangent to a curve at a point a, must have the same slope as the curve. Therefore, the slope of the tangent is m = lim f(a + h) - f(a) h-->0 h Since the slope equation of the tangent line is exactly the same as the derivative definition, an easier way to find the tangent line is to differentiate using the rules on the function f. For example, Find the slope of a line tangent to the function ...

How To: Solve equations with variables on both sides

Confused in math class and need some extra help? This educational video gives instruction on how to solve mathematical algebraic equations. It shows you how to break an equation down and make them less scary to solve. Step-by-step instructions show you how to solve more complicate equations when there is a variable on both sides of the equation. An instructional video for students who need some extra help on their math homework, or parents who can't remember what they learned in high school.

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-coordinates. Now in the step two he uses the slope he obtained in the first step and equates it two a another slope derivation which uses a generic x, y variables and a real point. Now solving this equation he arrives at the equa...

How To: Solve a linear equation

This video explains how to solve a single variable linear equation. Keep in mind that your equation should be in the form ax + b = c. The goal is to solve for x. Isolate the variable. Begin by subtracting b from both sides of the equation. Look at your new equation. It should now be in the form ax = c - b. Solve for x by dividing both sides by a. Your expression is now in the form x = (c - b)/a. You have solved the expression for x.