1. Using The Distributive Property With Variables
Lesson 12
Introductory Algebra
Using The Distributive Property With Variables

2. Warm-Up Find the product of each expression using the
Distributive Property.
3(799)
6(12.2)
805(4)

3. Using the Distributive Property with Variables
Target:
Simplify expressions with variables.

4. Vocabulary
Equivalent Expressions: Two algebraic expressions which represent the same simplified algebraic expression.

5. The Distributive Property
For any numbers a, b and c: a(b + c) = a(b) + a(c) or ab +ac a(b – c) = a(b) – a(c) or ab – ac

6. Example 1 Use the Distributive Property to simplify each expression.`

7. Example 2
Simplify by distributing and combining like terms. 5(x + 4) + 3x + 3 5x x + 3 8x + 23

8. Cards are listed on the next slide.

10. Exit Problems Simplify each expression. 7(x + 3) 2(5y – 8)
3(x + 4) + 2x – 1
6 + 2(7x – 1)

11. Communication Prompt
What is the process for simplifying an expression that contains parentheses and like terms?