2.06 Algebra Proofs

Which property states that a number is always equal to itself?    a) Symmetric Property    b) Transitive Property    c) Reflexive Property    d) Addition Property

The statement "If a = b, then b = a" is an example of which property?    a) Reflexive Property    b) Symmetric Property    c) Transitive Property    d) Multiplication Property

If x = y and y = z, which property allows us to conclude that x = z?    a) Reflexive Property    b) Symmetric Property    c) Transitive Property    d) Division Property

 Which property is being used when we add the same number to both sides of an equation?    a) Addition Property    b) Subtraction Property    c) Multiplication Property    d) Division Property

 In the equation 3x = 15, which property allows us to divide both sides by 3?    a) Addition Property    b) Subtraction Property    c) Multiplication Property    d) Division Property

Which property is being applied in the following statement: "If 4 + 7 = 11, then 11 = 4 + 7"?    a) Reflexive Property    b) Symmetric Property    c) Transitive Property    d) Addition Property

 If x - 5 = 10, which property allows us to add 5 to both sides of the equation?    a) Addition Property    b) Subtraction Property    c) Multiplication Property    d) Division Property

Which property is being used when we multiply both sides of an equation by the same non-zero number?    a) Addition Property    b) Subtraction Property    c) Multiplication Property    d) Division Property

In the equation 2x + 3 = 11, which sequence of properties would we use to isolate x?    a) Subtraction Property, then Division Property    b) Addition Property, then Multiplication Property    c) Multiplication Property, then Subtraction Property    d) Division Property, then Addition Property