Justify Steps to Solving Equations

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work from Step 2 to Step 3?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property justifies the work from Step (1) to Step (2)?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplicative Inverse Property

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Complete the table with the proper justifications.

f

d

Additive Identity Property

Multiplication Property of Equality

Addition Property of Equality

Division Property of Equality

Subtraction Property of Equality

Simplify

Multiplicative Identity

3k+2(5k-3)=7

• k=1

• k=12

• k=2

• k=5

Which property of real numbers was used to get from Step 3 to Step 4?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which property justifies the work from Step 4 to Step 5?

• Addition Property of Equality

• Subtraction Property of Equality

• Additive Inverse Property

• Substitution Property

Which property of real numbers justifies the work shown?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

Which property was used to get from Step 7 to the solution?

• Distributive Property

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property