Identify and Use Properties of Real Numbers

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

• Combine Like Terms

• Subtraction Property of Equality

• Division Property of Equality

• Multiplication Property of Equality

Which property justifies the work shown?

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Addition 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

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

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

• commutative property

• associative property

• inverse property

• identity property