Algebraic Reasoning

Which property justifies the step in solving the equation?

x − 12 = 40 Given

x = 52 ?

• Addition Property of Equality

• Substitution Property of Equality

• Multiplication Property of Equality

• Distributive Property

Which property justifies the step in solving the equation?

−7y = 56 Given

y = −8 ?

• Addition Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Division Property of Equality

Which property justifies the step in the process of solving the equation?

4h + 8 = 15 − 3h Given

7h + 8 = 15 ?

• Addition Property of Equality

• Transitive Property of Equality

• Multiplication Property of Equality

• Distributive Property

Name the property of equality that the statement illustrates:

x = x

• Reflexive Property of Equality

• Symmetric Property of Equality

• Substitution Property of Equality

• Transitive Property of Equality

Name the property of equality that the statement illustrates:

If AM = MB, then AM + 5 = MB + 5.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Name the property of equality that the statement illustrates:

If x = y, then 3x = 3y.

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Which property justifies the given statement?

If m∠5 = m∠6, then m∠6 = m∠5.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Distributive Property

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Distributive Property

Which statement can be justified using the Distributive Property?

• If p = q, then 3p = 3q.

• 3(p + q) = 3p + 3q

• If p = q, then p + 3 = q + 3.

• 3(p + q) = 3p + q

Which property justifies the given statement?

If JK = RS and RS = VW, then JK = VW.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Subtraction Property of Equality