Solving Equations Using Addition and Subtraction Videos - Free Educational Videos for Students in K - 12

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Algebra for 4th Graders:CCSSM 4.NF.3d


By Henry Borenson

Use visual models and equations to represent and solve word problems involving addition and subtraction of fractions (4.NF.3d)

[4.NF.3d-1.0] Word Problems: Addition - Common Core Standard


By Freckle education

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fractions models and equations to represent to problem.

How to Do Geometry | MathHelp.com


By MathHelp.com

This lesson covers one-step addition equations. Students learn that solving an equation for x means isolating the x on one side of the equation. To isolate the x, the following techniques are used. If a number is being added to x, subtract the number from both sides of the equation. If a number is being subtracted from x, add the number to both sides of the equation. If a number is being multiplied by x, divide both sides of the equation by the number. If a number is being divided by x, multiply both sides of the equation by the number.

Adding and Subtracting Polynomials | MathHelp.com


By MathHelp.com

In this example, notice that each of our variables, x, y, and z, appears in all three equations. To solve this system, we use the addition method. In other words, let’s start with our first two equations, x + y + z = 4, and x – y + z = 2. Notice that if we add these equations together, the +y and –y will cancel out, and we have 2x + 2z = 6. So, in our new equation, 2x + 2z = 6, we’ve eliminated the variable y. Unfortunately, we still haven’t solved for any of our variables. However, if we can create another equation with just x and z in it, then we’ll have a system of equations in two variables, which we can use to solve for x and z. To create another equation with just x and z in it, we need to eliminate y. We can’t add the first and second equations together, because we’ve already done that. However, notice that if we add the first and third equations together, the first equation has a +y and the third equation has a –y, so we’ll be able to eliminate the y. So we have our first equation, x + y + z = 4, and our third equation, x – y – z = 0, and adding them together, notice that the +y – y cancels out, and, as a bonus, the +z – z also cancels out, so we have 2x = 4, and dividing both sides by 2, x = 2. Now, since we know that x = 2, notice that if we plug a 2 in for x in the equation that we created earlier, we can solve for z. And we have 2(2) + 2z = 6, or 4 + 2z = 6, and subtracting 4 from both sides, we have 2z = 2, and dividing both sides by 2, z = 1. So x = 2 and z = 1, and to find the value of y, we simply plug our values of x and z into any of the equations in the original system. Let’s use the first equation, x + y + z = 4. Since x = 2 and z = 1, we plug a 2 in for x and a 1 in for z, and we have 2 + y + 1 = 4, or 3 + y = 4, and subtracting 3 from both sides, y = 1. So x = 2, y = 1, and z = 1, and finally, we write our answer as the ordered triple, x, y, z, or (2, 1, 1).

[4.NF.3d-1.0] Word Problems: Addition - Common Core Standard


By Freckle by Renaissance

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fractions models and equations to represent to problem. Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.

Systems of Three Equations | MathHelp.com


By MathHelp.com

Here we’re asked to graph the following function and use the horizontal line test to determine if it has an inverse. And if so, find the inverse function and graph it. So let’s start by graphing the given function, f(x) = 2x – 4, and remember that f(x) is the same as y, so we can rewrite the function as y = 2x – 4. Now, we simply graph the line y = 2x – 4, which has a y-intercept of -4, and a slope of 2, or 2/1, so we go up 2 and over 1, plot a second point and graph our line, which we’ll call f(x). Next, we’re asked to use the horizontal line test to determine if the function has an inverse. Since there’s no way to draw a horizontal line that intersects more than one point on the function, the function does have an inverse. So we need to find the inverse and graph it. To find the inverse, we switch the x and the y in original function, y = 2x – 4, to get x = 2y – 4. Next, we solve for y, so we add 4 to both sides to get x + 4 = 2y, and divide both sides by 2 to get 1/2x + 2 = y. Next, let’s flip our equation so that y is on the left side, and we have y = 1/2x + 2. Finally, we replace y with the notation that we use for the inverse function of f, as shown here. And remember that we’re asked to graph the inverse as well, so we graph y = ½ x + 2. Our y-intercept is positive 2, and our slope is ½, so we go up one and over 2, plot a second point, graph the line, and label it as the inverse function of f. Notice that the graph of the inverse function is a reflection of the original function in the line y = x.

One-step addition and subtraction equations with fractions and decimals


By Khan Academy

Some quick examples to practice solving a variety of one step equations. All 4 operations (add, subtract, multiple, divide) are paired with variables.

One-step addition and subtraction equations with fractions and decimals


By Khan Academy

Learn how to solve one-step addition and subtraction equations that have fractions and decimals in them.

One-step addition and subtraction equations with fractions and decimals


By Khan Academy

Learn how to solve one-step addition and subtraction equations by adding or subtracting the same thing from both sides of the equation.

One-step addition and subtraction equations with fractions and decimals


By Khan Academy

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