Multiple Step Equations with Distributive Property

Step 1 : 5(x + 2) = 8 - x  Step 2:  5x + 10 = 8 - x                        - 10  -10Step 3: 5x = 6 - x
Describe the property shown between step 1 and 2

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality
  

• Distributive Property

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

• 1

• 2

• 5

• 6

What is the correct order of steps when solving an equation WITHOUT a fraction?

• Combine Like Terms, 2 Distributive Property, 3 Inverse Operations

• Distributive Property, 2 Combine Like Terms, 3 Inverse Operations

• Inverse Operations, 2 Distributive Property, 3 Combine Like Terms

• Distributive Properties, 2 Inverse Operations, 3 Combine Like Terms

Solve the equation.

6(3x-5) -7x=25

• x= 5

• x= 6

• x= -5

• x= -6

7w - 3(4w + 8) = 11

• w= 3

• w= 9

• w= -7

• w= 7

Which of the following is equivalent to

-8 + 9(5 + 2x)?

• -5 - 2x

• 18x + 37

• -37 + 18x

• 18x - 53

Which is the correct order in which to solve multi-step equations?

• Distribute

  Combine like terms

  Get the variable on one side by add or subtracting

  Divide or multiple

• Add or subtracting

  Distribute

  Combine like terms

  Divide or multiple

• Divide or multiple

  Add or subtracting

  Distribute

  Combine like terms

What is the first step in solving a multi-step equation?

• Distribution (If necessary)

• Combine Like Terms

• Move the variable

• Move the constant

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

Solve: 8v - 4(v + 8) = 8

Mathematical Equivalence

ON