Solving for Variables in Equations

The video tutorial explains how to solve equations for specific variables. It demonstrates the process of isolating a variable by performing opposite operations on both sides of the equation. The first example shows how to solve for p in the equation p + z = x by subtracting z from both sides. The second example demonstrates solving for y in the equation xy = r by dividing both sides by x. The tutorial emphasizes understanding the inverse operations needed to isolate the desired variable.

What is the first step in solving an equation for a specific variable?

• Isolate the variable on one side

• Multiply both sides by the variable

• Divide both sides by a constant

• Add a constant to both sides

To solve the equation p + z = x for p, what operation should be performed?

• Subtract z from both sides

• Multiply both sides by z

• Divide both sides by z

• Add z to both sides

After subtracting z from both sides in the equation p + z = x, what is the resulting equation?

• p = x * z

• p = x + z

• p = z - x

• p = x - z

In the equation xy = r, what does xy represent?

• x minus y

• x plus y

• x divided by y

• x times y

What operation is used to solve for y in the equation xy = r?

• Division

• Subtraction

• Addition

• Multiplication

What is the final form of the equation when solving for y in xy = r?

• y = x / r

• y = r / x

• y = r + x

• y = r * x

What is the opposite operation of multiplication?

• Exponentiation

• Division

• Subtraction

• Addition