Learning to solve a two step equation with one fraction

The video tutorial explains how to isolate the variable K in an equation by using inverse operations. It clarifies the roles of the numbers involved, particularly the positive 8 and the negative fraction -3/8. The instructor rewrites the equation for better understanding and applies inverse operations to simplify it. The process involves subtracting 8 from both sides and multiplying by the reciprocal of the fraction to solve for K, resulting in K=32. The tutorial emphasizes the importance of understanding inverse operations in solving two-step equations.

What is the first step in isolating the variable in an equation?

• Add a constant to both sides

• Divide both sides by the variable

• Use inverse operations

• Multiply both sides by zero

When rewriting an equation, why is it important to maintain the correct signs?

• To make the equation look simpler

• To ensure the equation remains balanced

• To change the value of the variable

• To eliminate fractions

What property is used when subtracting the same number from both sides of an equation?

• Multiplication property of equality

• Division property of equality

• Addition property of equality

• Subtraction property of equality

How can you undo multiplication by a fraction in an equation?

• Subtract the fraction from both sides

• Add the fraction to both sides

• Multiply by the reciprocal

• Divide by the reciprocal

Why is it important to multiply by a negative reciprocal when solving for a variable?

• To solve for the positive value of the variable

• To simplify the equation

• To eliminate the variable

• To ensure the variable remains negative