1. Unit 2: Algebra Minds On

2. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

3. Unit 2: Algebra Lesson 3: The Distributive Property We can multiply or divide a polynomial by a constant. To simplify this, the polynomial must be expanded using the distributive property.

4. STEPS: 1.Multiply/divide each term in the polynomial by the constant 2.Keep the variables the same 3.Simplify signs 4.Identify like terms 5.Combine like terms Unit 2: Algebra Lesson 3: The Distributive Property

5. Example 1 Simplify: 5(-y 2 + 3x – 4) Unit 2: Algebra Lesson 3: The Distributive Property STEPS: 1.Multiply/divide each term in the polynomial by the constant 2.Keep the variables the same 3.Simplify signs 4.Identify like terms 5.Combine like terms

6. Unit 2: Algebra Lesson 3: The Distributive Property STEPS: 1.Multiply/divide each term in the polynomial by the constant 2.Keep the variables the same 3.Simplify signs 4.Identify like terms 5.Combine like terms

7. Example 3 Expand and Simplify: 6(x 2 y + 2y -5) - 2(14x 2 y - 3) Unit 2: Algebra Lesson 3: The Distributive Property STEPS: 1.Multiply/divide each term in the polynomial by the constant 2.Keep the variables the same 3.Simplify signs 4.Identify like terms 5.Combine like terms

8. Unit 2: Algebra Lesson 3: The Distributive Property STEPS: 1.Multiply/divide each term in the polynomial by the constant 2.Keep the variables the same 3.Simplify signs 4.Identify like terms 5.Combine like terms

9. Unit 2: Algebra Lesson 3: The Distributive Property

10. Homework  Read page 262: “Key Ideas” (Distributive Property only and example “a”)  Do page 263 #6abghi, 7, 10ace, 11abcgijk, 12bd Unit 2: Algebra Lesson 3: The Distributive Property