Understanding One-Step Division Equations with Negatives

In this video, Mr. J explains how to solve one-step division equations involving negative numbers. The process is similar to solving equations with positive numbers, focusing on isolating the variable using inverse operations. Two examples are provided: solving H/5 = -9 and -3 = K/-8. Each example is broken down step-by-step, demonstrating how to use multiplication to isolate the variable and verify the solution by substituting back into the original equation. The video concludes with a recap of the key steps and concepts.

What is the first step in solving one-step division equations with negatives?

• Divide both sides by the same number

• Add the same number to both sides

• Use the inverse operation to isolate the variable

• Subtract the same number from both sides

In the equation H divided by 5 equals negative nine, what operation should be used to isolate H?

• Subtraction

• Division

• Multiplication

• Addition

What is the result of multiplying negative nine by five?

• -9

• 45

• 9

• -45

How can you verify the solution of an equation?

• By asking a friend

• By substituting the solution back into the original equation

• By checking the solution with a calculator

• By guessing the answer

In the equation negative 3 equals K divided by negative eight, what operation should be used to isolate K?

• Subtraction

• Addition

• Multiplication

• Division

What is the result of multiplying negative eight by negative three?

• 3

• 24

• -24

• -3

What is the value of K in the equation negative 3 equals K divided by negative eight?

• -3

• 24

• 3

• -24

How do you confirm the solution of K equals 24 in the equation negative 3 equals K divided by negative eight?

• By subtracting 24 from negative eight

• By multiplying 24 by negative eight

• By dividing 24 by negative eight and checking if it equals negative 3

• By adding 24 to negative eight

What is the importance of using inverse operations in solving equations?

• To add more variables to the equation

• To make the equation more complex

• To change the equation completely

• To isolate the variable and solve the equation

What is the final step after solving an equation to ensure the solution is correct?

• Asking a teacher

• Ignoring the solution

• Checking the solution by substituting it back into the original equation

• Rewriting the equation