Exploring Properties of Equality in Math

This video tutorial covers the application of properties of equality in solving equations. It begins with an introduction to the properties of equality, followed by a discussion on computations that maintain equation equality. The tutorial then focuses on math practices, demonstrating operations that keep equations balanced. Examples are provided to illustrate the use of these properties in equations. Finally, the video applies these properties to solve various problems, reinforcing the concepts learned.

What happens to the equation 4 + 8 = 12 when you add 5 to both sides?

• The equation becomes 4 + 8 = 12 + 5, which is false.

• The equation becomes 4 + 8 + 5 = 12 + 5, which is true.

• The equation becomes 4 + 8 + 5 = 12 + 5, which is false.

• The equation becomes 4 + 8 = 12 + 5, which is true.

What is the result when you add 3 to the left side and 5 to the right side of the equation 4 + 8 = 12?

• The equation becomes 4 + 8 = 12 + 5, which is true.

• The equation becomes 4 + 8 + 3 = 12 + 5, which is false.

• The equation becomes 4 + 8 = 12 + 5, which is false.

• The equation becomes 4 + 8 + 3 = 12 + 5, which is true.

Complete the equation 7 + ___ = 10 - ___ to keep it true.

• 1, 2

• 2, 1

• 3, 0

• 4, 1

Which property of equality states that the two sides of an equation stay equal when the same amount is added to both sides?

• Subtraction Property of Equality

• Multiplication Property of Equality

• Addition Property of Equality

• Division Property of Equality

If 5y = 25, which property of equality is used to keep the equation 5y - 7 = 25 - 7 equal?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

What can you do to make the scale balance if there are 12 green blocks on one side and 1 blue x block on the other side?

• Remove some green blocks

• Remove the blue x block

• Add more green blocks

• Add more blue x blocks

How many times greater is 12 compared to 4?

• 3 times

• 5 times

• 2 times

• 4 times

If y - 12 = 30, what happens when you add 12 to both sides?

• The equation becomes y = 42, which is true.

• The equation becomes y = 18, which is true.

• The equation becomes y = 42, which is false.

• The equation becomes y = 18, which is false.

If y - 12 = 30, what happens when you subtract 5 from both sides?

• The equation becomes y - 17 = 25, which is true.

• The equation becomes y - 7 = 35, which is false.

• The equation becomes y - 17 = 25, which is false.

• The equation becomes y - 7 = 35, which is true.

What must be done to both sides of the equation to keep it balanced?

• Add the same numbers

• Multiply by different numbers

• Subtract different numbers

• Add different numbers