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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.7.EE.A.1

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

• Transitive

• Symmetric

• Substitution

• Reflexive

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.6.EE.B.5

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

Tags

CCSS.HSA.REI.A.1

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

• Symmetric

• Reflexive

• Multiplication

• Addition

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.HSA.REI.A.1

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

• 4

• 1

• 2

• 3

Tags

CCSS.HSA.REI.A.1