Solve Equations Using Factoring

How To : Graph linear inequalities

Solving the Inequalities using graph, first you have to take the inequality equation into equal. Then convert the equation into straight line equation i-e(y=mx+c). Giving own values for 'x' like (-1, 0, 1) we would get the value for 'y'. By plotting these points in the graph, ...more

How To : Solving for "x" using addition and subtraction

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. In this video, I advance beyond an introducti ...more

How To : Convert temperature using a point slope equation

In this video the instructor shows how to convert temperature using the point slope form. In this kind of problem sometimes you are given a temperature in Fahrenheit and its equivalent in Celsius and an other temperature similarly in both Fahrenheit and Celsius. Now you are as ...more

How To : Solve a quadratic equation by quadratic formula

This video is describing how to solve quadratic equation by quadratic formula. The quadratic equation is given in the video and we will use quadratic formula. We will put the equation in the formula our equation is 4psquare= -23p - 15. Now add 23 to both sides and then add 15 ...more

How To : Simplify algebraic fractions

In this tutorial, we learn how to simplify algebraic fractions. First you will need to simplify the fractions. You need to factor the numerator out, figure out what A is and what B is. Then, figure out what C is and what the products equal as well. When you have these, you wil ...more

How To : Multiply and divide three rational expressions

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 t ...more

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 y ...more

How To : Simplify a radical expression

Doug Simms online shows how to simplify the radical in a mathematical equation. If you need to brush up on your learning this video can help. Start by finding what is the largest square of the number in your radical. If that number can be solved then solve it, put the answer o ...more

How To : Graph linear equations using y=mx+b

This video is an instructional guide about Graph Linear Equations presented in algebraic form. It is an easy to follow, step by step guide to solving such equations using the graph intercept formula. The first example equation is Y = 2x -1 over y = mx + b. The video then shows ...more

How To : Factor a trinomial

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 ...more

How To : Find the percent change using proportions

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 va ...more

How To : Complete the square

This is an instructional video on how to "complete the square", which is an algebraic technique for solving a quadratic equation. The instructor starts by showing you what a quadratic equation actually is. He describes what "completing the square" actually means, and how it ca ...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 : 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 si ...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 : 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 ...more

How To : Work with decimal numbers in prealgebra

You can do simple decimal calculation with out using a calculator once you understand the basic concept of decimals. In decimal equations when you have various operations between decimal numbers, you have to go by the order of operations in simplifying it. The order of operati ...more

How To : Factor the difference of squares

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 ...more

How To : Convert temperature using y = mx + b

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 ...more

How To : Find X-bar with the Z-score formula

In this video tutorial it shows you how to find the x-bar by using the Z-score formula. In the beginning of this video the formula is displayed on the right, while the values that you need to plug in are on the left. Once you plug in the values and do the cross multiplying, al ...more

How To : Solve direct proportions

You can solve any proportion using the fundamental rule of proportions. First you must build the proportion if you are given a word problem. Decide using logic whether it is a direct proportion (more on one side means more on the other). If so, find the parts of the equation t ...more

How To : Find the area of a parallelogram using geometry

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 b ...more

How To : Use implicit differentiation

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 ...more

How To : Solving for "x" using multiplication and division

Solving for "x" using multiplication and divisionHere is a typical algebraic equation "2x=12". Multiplication in algebra will have the "x" next to a number. The process will be a combination of multiplication and division to solve for "x". To get "x" alone, we do the opposite ...more

How To : Graph using the intercept method

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. He told for making X-intercept we need to substitute Y as z ...more

How To : Factor quadratic expressions using trial and error

Sometimes there's no better way to factor a quadratic equation than by simple brute-force trial and error. Watch this free video algebra lesson to see how it's done. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical mi ...more

How To : Solve the equation of a line with substitution

Need to know how to solve the equation of a line using substitution? Learn how with this free video lesson. 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 Inter ...more

How To : Use the Pythagorean Formula to find a missing side

The Pythagorean theorem is a simple theorem that states that - for a right angled triangle the square of the length of the hypotenuse is equal to the sum of the squares of the length of the remaining two sides. In this video, a right angled triangle with three sides, namely a ...more

How To : Solve word problems in Algebra

Having trouble with word problems in algebra? Watch this video to clear a few concepts as well as to learn how to systematically tackle word problems in exams. As explained in the video, the solution to any algebraic problem can be found by using the following 5 steps: 1) De ...more

How To : Understand Ohm's Law

This video teaches the basics of Ohm's law, which is an important equation in electrical engineering. The three variables which are used in this equation are V, which stands for voltage, I for current, and R for resistance. The equation for the law itself is I=V/R. This law de ...more

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

When you are given a point through which a line passes and the slope of that line, you can calculate the equation of that line. The general equation to solve this kind of equations is called as point-slope form. The point slope of a line passing through (a, b) with slope of m ...more

How To : Use differential equations to solve for velocity

The guy first gives the definition of differential equations. He explains that a differential equation is an equation that contains the derivatives of an unknown function. He then gives some examples of differential equation and explains what the equation's order means. After ...more

How To : Understand parabolas

The instructor in this video uses humor to teach people math, which is not a favorite subject for many. The video goes on to teach the students in the video different ways to cut the conic sections into different shapes. The teacher then focuses on parabolas and defines the fo ...more

How To : Factor trinomials

In this video, the instructor shows how to factor trinomials. An equation is a trinomial if it has three terms. If you factor a trinomial, you are left with two binomials which are the factors of the original trinomial. Multiplying them would result in the original trinomial. ...more

How To : Solve operations on rational functions (f o g)(x)

YAYMATH In order to use rational functions in intermediate algebra, Robert Ahdoot begins by setting values to the functions f(x) and g(x). He then adds these functions together, with the equation (f+g)(x). After addition comes subtraction, using the equation (f-g)(x). And fina ...more

How To : Find the equation of a line given 2 points

This tutorial teaches you how to find a mathematical equation of a line given 2 points that exists on the line. The tutorial starts off with 2 points labeled (2,-4) and (3,6). The first step is to determine the slope of the line using the formula given in the tutorial in blue. ...more

How To : Solve for "x" with powers and parenthesis

Solving for ‘x’ in an algebraic equation can seem difficult when presented with different situations. Here are a few examples and tip for how to solve for x when there are powers and parentheses in the polynomial equation. In this lesson, I show you how powers (exponents) and ...more

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 mix ...more

How To : Factor the GCF and difference of squares

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 ...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 : 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 ...more

How To : Derive a quadratic equation, given the roots

This video shows you how to get the quadratic equation for the quadratic function with roots; (5,0), (12,0) which passes through the point(8,6). It shows a man solving this problem using a black board and chalk to clearly demonstrate the method of plugging in the respective co ...more

How To : Solve a two-step equation

This video is a detailed step by step explanation as how to solve a two step equation. The video provides an example of how to go about a two step equation problem and the steps necessary in order to solve for the value of one of the variables. This video uses very simple math ...more

How To : Multiply fractions with canceling

This video will show you how to carry out multiplication of fractions using cancellation, which will make your fraction multiplication problems simpler to solve. You will need to look at the numerator of the first fraction and the denominator of the second fraction and see if ...more

How To : Solve for X (advanced)

The video describes how to find 'x' in the algebraic equation -3x + 7x - 6 = 30 The equation is solved on a white board by hand. The method shown uses the following steps: Firstly both 'x' terms are added together to get the equation 4x - 6 = 30. Then 6 is added to both sides ...more

Books : Digital vs. Analog

Since the invention of the printing press, books have been a dominant and iconic paradigm in our culture and throughout the world. During my years in elementary and high school, the digital world was on the rise sparking the conversation: Are Books Obsolete. Over the last year ...more

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