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

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

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

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

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

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

Example 2 Simplify by distributing and combining like terms. 5(x + 4) + 3x + 3 5x + 20 + 3x + 3 8x + 23

Cards are listed on the next slide.

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

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