Solving Equations and Justifying with Properties

Which property justifies the work in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Given 2(4x +8) + 3x = 12 Step 1. 8x + 16 + 3x = 12 Step 2. 8x + 3x + 16 = 12 Step 3. 11x + 16 = 12 Step 4. -16 -16 Step 5. 11x = -4 Step 6. /11 /11 Step 7. x = -4/11 Which property justifies between step 2 and step 3?

• Subtraction Property of Equality

• Addition Property of Equality

• Combine Like Terms

• Multiplication Property of Equality

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

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Combine Like Terms

Which property was used to get from Step (2) to Step (3)?

• Distributive Property

• Division Property of Equality

• Subtraction Property of Equality

• Substitution Property

Name the property you will first use to solve this equation:
4x – 5 = 17

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Identify the property you would use to solve this equation:
y – 7 = 28

• Additive Property of Equality

• Subtraction Property of Equality

• Multiplicative Property of Equality

• Division Property of Equality

Identify the property you would use to solve this equation:
4x = 72

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Identify the property shown.

• Commutative

• Associative

• Distributive

• None

Solve the equation

• t = 2

• t = 4 

• t = 6

• t = 1