Solve Puzzles Search Results

How To: Solve multi-step and compound inequalities

Multi-Step inequalities are inequalities which take more than one step in solving them. You need to follow a step by step approach in solving these kind of problems. Through there is no general method to solve them you can follow a set of guidelines. First thing you have to do is make sure that only x terms remain on the left hand side of the equation. If there are any other numerical terms add the negative of that term to both the sides of the equation to eliminate it on the left hand side. ...

How To: Solve equations with algebraic variables on both sides

In basic algebraic equations all the variables are on left side of the equation. But as the complexity of the problems increases you will find that the equations will contain variables on both sides of the equation. To solve these kinds of problems first simplify the equations on each side of the equation. You can use the distributive law to do this. Next try to cancel the variable on the right side of equation by adding the negative value of that variable to both the sides of the equation. N...

How To: Solve a linear system with no solution

A method for solving a linear system with no solution is described. The method is described in 4 steps. The first step in the method is designed to solve a linear system that is described consist of “solving by graphing”. Details for “solving by graphing” first consist of finding points to graph using two different equations. The second step in the method consist of placing the points from both equations on the same graph in order to find out if bo...

How To: Solve an equation with a radical under a radical

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.

How To: Solve quadratic equations by square root method

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 e...

How To: Solve linear absolute value equations & inequalities

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 ab...

How To: Compare methods of solving quadratic equations

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 discrimin...

How To: Solve percent equations

In this tutorial the instructor shows how to solve percent equations. The general form of a percent equations is that a is b% of c. As there can be three kinds of variables a, b, c, the questions involving percent equations can be of three types having one of the three variables unknown. These kind of percent statements can be solved easily by setting up an equation. So, to convert percent statement into a equation replace the unknown term with n, the 'is' term with equals sign and the '%' si...

How To: Solve a quadratic equation

In this video the instructor shows how to solve a quadratic equation. If you have a quadratic equation with complex fractional terms and you find that a particular term is repeating then equate that term to a new variable and replace the variable in the given equation. Now try to get the equation a*x*x + b*x + c = 0, and solve for the roots of the equation which gives the values of the intermediate variable. But this variable was replaced instead of another term. So equate that term to the va...

How To: Solve systems by substitution

You can solve systems by using the substitution method. Here are two examples. One says y=3x+2 and the second says 7x-4y=7. The math teacher explains that if y is the same thing as 3x+2, then 3x+2 can be substituted for y in 7x-4y=7. Once it is substituted, your equation will then read 7x-4(3x+2)=7. The next step is to solve for x. Once you have worked out this equation, you will see that x=-3. Finally, your last step is to solve for y. To solve for y, simply substitute x with -3. The equatio...

How To: Solve quadratic equations by factoring in math

In this video the instructor shows how to solve quadratic equations by factoring. You can solve a quadratic equation by factoring them. To do this first write the equation in the standard from which is a*x*x + b*x + c = 0. Now factor the equation into two smaller equations of single degree. Now you can apply the zero-factor property to solve the equation in this from. The zero-factor property states that for a real values a and b, if a multiplied by b is equal to zero then value of a must be ...

How To: Find the x & y intercepts of rational functions

In this tutorial the instructor shows how to find the x and y intercepts of rational functions. Finding the intercepts of a rational function is similar to finding the intercepts of other normal equations. You can find the x intercept of the equation by setting the value of y to zero and solving the equation. Similarly you can solve the y intercept by setting the value of x to zero and solving the equation. Now while solving this rational function for intercepts if you face a situation where ...

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: Solve single-step equation by multiplication

This video will show you the simple mathematical concept of solving a single-step equation using multiplication. This is very useful for equations in which you need to solve for a variable and the variable is a part of a fraction. The example provided in the video shows a very fast and simple way to solve these types of problems. By multiplying your fraction by the denominator of the fraction, you will cancel out the fraction and multiply the other side by the same number. By following these ...

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.

How To: Solve inverse proportions

This video tutorial shows how to solve inverse proportions. The tutor says that in inverse proportion it works differently than in the direct proportion. He says that in inverse proportion more means less or less means more. He uses the example of driving a car to illustrate his idea. He says that if you drive a car with more speed, you take less time to reach a place i.e. here more speed means less time. He goes on and solves a problem involving inverse proportion explaining how to solve the...

How To: Solve a Rubik's Cube with the "Ortega method"

Want to learn how to solve the mysterious Rubik's Cube? Well in this video, the viewers will be taught how to do so with the "Ortega method". The video provides a demonstration of this method with a 2x2x2 Rubik's Cube. At each step, the video breaks down the cube into different situations and which algorithm to use for which. The video demonstrates how to recognize each situation, what to do in each case and the fastest way to do so.

How To: Solve the Rubik's Cube's PLL with these tricks

In this video tutorial, you'll learn how to solve the Rubik's Cube's PLL (Permutation of the Last Layer) with these tips and tricks. You'll learn some simple memorization techniques for PLL's, you'll be shown a website and a timer that made for the PLL's, and you'll learn some basics Rubiks Cube tips and tricks.

How To: Get faster at the Rubik's Cube

Can't break the world record for the Rubik's Cube? Well, that probably means you're too slow. Watch these three videos to learn how to be faster, so maybe you can have your fifteen minutes of fame. See the fingertricks and how to lube it up.

How To: Solve single-step inequalities using the reciprocal

This video tutorial is in the Education category which will show you how to solve single-step inequalities using the reciprocal. Let's solve the problem "negative 5/2 X is less than equal to negative 1/5". To solve for "X", we need to get rid of "negative 5/2". To do that, we multiply both sides of the inequality by the reciprocal of 5/2 and we need to keep the negative sign also. So, we multiply both sides by "negative 2/5". Whenever we multiply a negative to both sides of an inequality, the...

How To: Solve a system of linear equations by substitution

System of equations is nothing but a system which contains more than one linear equations. This system of equations can be solved to arrive at the solution of the system. A simple system of the linear equations can be a pair of equations. To solve this kind of system you can employ the substitution method. So take the two equation of the system. Solve for the value of y in the first equation in terms of x. Now take this value of y and substitute in the second equation y value. Now the second ...

How To: Solve a system of equations through graphing

This video shows the viewer how to solve simultaneous equations using a graph or ‘graphing’ as it is referred to. This is done by first rearranging both equations so that y is the object of both equations. The equations can then be solved via substitution – the video does not cover this. Using graphing the next step is to plot both of the lines onto the graph. This can be done by substituting varying values of x to give the y co-ordinates. The solution to the linear equation should be the poi...

How To: Solve rational equations easily

This video revolves around solving rational equations in Algebra 2. When you are given a rational equation, you have to find the greatest common factor and multiply all fractions to get that common factor. If a fraction already has that common factor, then no further step is necessary for that one. Next, you have to multiply all fractions by the greatest common factor to get rid of all denominators. Finally, the remaining equation is simple math and you only need to solve the equation for the...

How To: Solve a 3x3 linear system using Cramer's Rule

In this video the instructor shows how to solve a 3 x 3 linear system using the Cramer's rule. In this kind of problem you are given three equations in three variables x, y, z and you need to solve for the values of these equations. You can solve this using the Cramer rule which says that the value of x is Dx/D, where Dx and D are two different determinate. Now you have to figure out the determinate to get the value of variable x. The determinate D is called the foundation determinate and is ...

How To: Solve equations with fractions and decimals

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 u...

How To: Algebraically solve mixed quantities problems

In this video the instructor shows how to solve mixture problems using two variables. Usually in these kind of questions the problem statement goes like, if A costs $x for a pound and B costs $y for a pound, in what ratio should they be mixed such that one pound of the new mixture sells for $z a pound. So, in these kind of problems start with a box where you list down all the given data in the form of a table as shown in the video. Now denote the unknown quantity of A and B by two variables a...

How To: Solve radical equations in algebra

The video demonstrates the solving of radical equations in algebra. The first thing to be done is to keep the radical number on one side and the other numbers on the other side. The radical is then changed to a rational number by squaring, cubing etc. Once the roots are removed, it becomes a simple equation which can be solved by keeping the unknown number on one side and the rest of the numbers on the other side. The value, thus arrived at, is checked by putting the value of the unknown numb...

How To: Solve rational equations

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...

How To: Solve logarithmic equations

In this video the instructor shows how to solve logarithmic equations. To solve a logarithmic equation, the first thing you have to do is try to get one logarithmic term if possible. To subtract two logarithmic terms use the formula Log (a) – Log (b) = Log (a/b). Now to get rid of logs, perform exponentiation of the base. Exponentiation of the base is raising a number to the power of the logarithmic term where the number is the base of the logarithmic term. Here the value turns out to be the ...

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: Solve an equation by the distributive property

In this simple tutorial the tutor shows how to solve equation by the distributive property. He states that when there is a number which is multiplied to a full equation, we have to multiply each and every term of that equation by that multiplying number. This is called the distributive property as the value is distributed to each and every term inside the equation. He goes on and solves a problem based on this property to give a clear idea of the property. This video shows how to solve equati...

How To: Calculate the acceleration of a car on inclined plane

In this video tutorial the instructor shows how to calculate the acceleration of a car on an inclined plane. He goes on to solve a problem he came across which is based on the acceleration of a car on an inclined plane. He shows how to solve this problem by showing how to extract the data from the question and draws a diagram to get a clear understanding of the problem. Now he marks the forces acting on the vehicle and goes on to specify his axes and how to split the components of force along...