Checking Solutions and Properties of Equality

The video tutorial explains the addition property of equality, focusing on solving one-step equations. It emphasizes the importance of performing the same operation on both sides of the equation to maintain equality. The tutorial provides step-by-step solutions to two example problems, demonstrating how to isolate the variable by adding the inverse of the attached number. The video concludes with a verification process to ensure the solutions are correct.

What is the addition property of equality?

• You can only add positive numbers to both sides of the equation.

• What you do to one side of the equation, you must do to the other side.

• You can subtract the same number from both sides of the equation.

• You can add any number to both sides of the equation.

In the first problem, what number is attached to the variable?

• 5

• 14

• 0

• 9

What is the opposite of a negative 5?

• Negative 10

• Positive 5

• Positive 10

• Zero

What is the result of adding 5 to both sides of the equation in the first problem?

• m = 5

• m = 9

• m = 14

• m = 0

In the second problem, what is the inverse of negative 12?

• Zero

• Negative 24

• Positive 12

• Positive 24

What is the result of adding 12 to both sides of the equation in the second problem?

• b = 12

• b = 29

• b = 0

• b = 17

What is the purpose of checking your work after solving an equation?

• To ensure the solution is correct.

• To simplify the equation further.

• To find a different solution.

• To change the variable.

What should you do if the solution does not check out?

• Ignore it and move on.

• Recheck your steps and calculations.

• Change the variable.

• Add a different number to both sides.

What is the result of checking the first problem's solution?

• 14 - 5 = 9

• 14 + 5 = 19

• 14 - 5 = 5

• 14 + 5 = 14

What is the result of checking the second problem's solution?

• Negative 12 + 29 = 17

• Negative 12 + 29 = 12

• Negative 12 + 29 = 0

• Negative 12 + 29 = 29