Understanding Inverse Operations and Solving Equations

The video tutorial explains how to solve an equation by isolating the variable using inverse operations. It begins with an introduction to the equation and the concept of inverse operations. The instructor then rewrites the equation for clarity and proceeds with a step-by-step solution, emphasizing the importance of understanding the operations involved. The tutorial concludes with the final calculation and a summary of the key steps involved in solving the equation.

What is the first step in solving an equation to isolate the variable?

• Add a constant to both sides

• Divide both sides by the variable

• Use inverse operations

• Multiply both sides by zero

In the equation 8 - (-3/8)k, what operation is being performed on k?

• Addition by 8

• Multiplication by -3/8

• Division by -3/8

• Subtraction by 8

What is the purpose of rewriting the equation with switched terms?

• To change the equation's value

• To make the equation more complex

• To eliminate the variable

• To simplify understanding of operations

What property is used to subtract 8 from both sides of the equation?

• Addition property of equality

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

After subtracting 8 from both sides, what is the resulting equation?

• 8k = -12

• k = 12

• k = -12

• -3/8 k = -12

How can you undo multiplication by a fraction?

• Subtract the fraction from both sides

• Multiply by the reciprocal

• Add the fraction to both sides

• Divide by the reciprocal

Why is the reciprocal made negative when solving for k?

• To eliminate the fraction

• To ensure k remains negative

• To solve for a positive k

• To change the equation's value

What is the result of multiplying -12 by -8/3?

• 96

• -96

• 32

• -32

What is the final value of k in the equation?

• k = 32

• k = 12

• k = 0

• k = -32

What should you remember when solving two-step equations?

• Use inverse operations

• Multiply by zero

• Always add first

• Ignore the variable