Exploring the Properties of Equality

This video tutorial introduces the properties of equality, essential for solving equations. It covers the reflexive, symmetric, transitive, substitution, addition, subtraction, multiplication, and division properties, providing examples for each. The lesson concludes with a call to subscribe for more content.

What does the reflexive property state?

• a equals b

• a plus b equals b plus a

• a equals a

• a times b equals b times a

According to the symmetric property, if a equals b, what else is true?

• a plus b equals c

• a equals c

• a times b equals c

• b equals a

Which property states that if a equals b and b equals c, then a equals c?

• Transitive

• Symmetric

• Substitution

• Reflexive

What does the substitution property allow you to do?

• Replace a with b if a equals b

• Add the same value to both sides of an equation

• Multiply both sides of an equation by the same value

• Divide both sides of an equation by the same value

If a equals b, what does the addition property state?

• a minus x equals b minus x

• a plus x equals b plus x

• a times x equals b times x

• a divided by x equals b divided by x

Which property allows you to add the same value to both sides of an equation?

• Symmetric

• Reflexive

• Multiplication

• Addition

What does the subtraction property of equality state?

• a divided by x equals b divided by x

• a times x equals b times x

• a minus x equals b minus x

• a plus x equals b plus x

According to the multiplication property, if a equals b, what else is true?

• a divided by x equals b divided by x

• a times x equals b times x

• a minus x equals b minus x

• a plus x equals b plus x

What does the division property of equality state?

• a divided by x equals b divided by x

• a times x equals b times x

• a minus x equals b minus x

• a plus x equals b plus x

If 2x equals 4, what is x according to the division property?

• 4

• 1

• 2

• 3