Properties of Equality and Operations

Mr. Walker reviews algebraic properties of equality, including reflexive, symmetric, transitive, and operational properties like addition, subtraction, multiplication, and division. He also covers the distributive and substitution properties, providing examples and practice problems to reinforce understanding.

What is the main purpose of reviewing algebraic properties of equality in this unit?

• To solve complex equations

• To introduce a new topic

• To use them in the last topic of proofs

• To prepare for the final exam

Which property states that a value is always equal to itself?

• Symmetric Property

• Transitive Property

• Reflexive Property

• Distributive Property

If a = b, then b = a. Which property does this statement represent?

• Symmetric Property

• Transitive Property

• Substitution Property

• Reflexive Property

What does the transitive property of equality state?

• a = a

• a + b = b + a

• If a = b and b = c, then a = c

• If a = b, then b = a

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

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

What must be done to both sides of an equation to maintain equality when multiplying?

• Divide by the same value

• Multiply by the same value

• Subtract the same value

• Add the same value

Which property involves distributing a number across terms inside parentheses?

• Distributive Property

• Transitive Property

• Substitution Property

• Symmetric Property

What does the substitution property allow you to do in an expression?

• Multiply both sides by a constant

• Add a constant to both sides

• Switch the sides of an equation

• Replace a variable with its equivalent

In the example 'if x/3 = -2, then x = -6', which property is used?

• Subtraction Property

• Multiplication Property

• Addition Property

• Division Property

In the equation '4x - 1 = -12, then 4x = -11', which property is applied?

• Subtraction Property

• Division Property

• Addition Property

• Multiplication Property