Solving Equations and Operations

In this video, Mr. J explains how to solve one-step addition equations involving negative numbers. The process involves isolating the variable by using the inverse operation, ensuring that whatever is done to one side of the equation is also done to the other to maintain balance. Two examples are provided: solving y + 11 = -20 and -12 = B + (-7). The video emphasizes the importance of understanding inverse operations and checking solutions by substituting back into the original equation.

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

• Add the same number to both sides

• Divide both sides by the variable

• Use the inverse operation to isolate the variable

• Multiply both sides by zero

In the equation y + 11 = -20, what operation should be used to isolate y?

• Subtract 11 from both sides

• Add 11 to both sides

• Multiply both sides by 11

• Divide both sides by 11

What is the value of y in the equation y + 11 = -20?

• -31

• 31

• -9

• 9

How can you verify the solution of y = -31 for the equation y + 11 = -20?

• By dividing both sides by -31

• By multiplying both sides by -31

• By substituting -31 back into the equation

• By adding 31 to both sides

In the equation -12 = B + (-7), what operation should be used to isolate B?

• Subtract 7 from both sides

• Multiply both sides by 7

• Add 7 to both sides

• Divide both sides by 7

What is the value of B in the equation -12 = B + (-7)?

• -5

• 5

• 19

• -19

How can you verify the solution of B = -5 for the equation -12 = B + (-7)?

• By dividing both sides by -5

• By multiplying both sides by -5

• By substituting -5 back into the equation

• By adding 5 to both sides

What happens when you subtract a negative number?

• The value becomes zero

• The value increases

• The value remains the same

• The value decreases

What is the opposite operation of addition?

• Subtraction

• Addition

• Division

• Multiplication

Why is it important to perform the same operation on both sides of an equation?

• To eliminate the variable

• To change the variable

• To keep the equation balanced

• To make the equation more complex