Solving Equations and Justifying Steps

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

Name the first property you will use to solve this equation:

3(x – 7) = 42

• Multiplication Property of Equality

• Commutative property

• Associative Property

• Distributive Property

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

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

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 in solving this equation?

• Addition Property of Equality

• Additive Inverse Property

• Identity Property of Addition

• Subtraction Property of Equality

Which property of real numbers justifies the work shown?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

What is the first step to solve this equation:
-3x + 11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?

• Divide by 2

• Subtract 1

• Subtract 6

• Times 2