1 7 Distributive Property II Objective To use

1 -7 Distributive Property II Objective: To use the distributive property to simplify expressions.

Drill #10* Use the distributive property to find each product: (Show your work) 1. 15 ( 98) 2. 8 ( 122 ) 3. -16 ( 3. 2 )

It’s Academic! Club • Meeting today after school in rm 319 • 3: 10 – 3: 30

Launch* Mark and Maria are sales clerks at a local department store. Each earns $5. 35 an hour. Maria works 24 hours per week, and Mark works 32 hours per week. Write 2 expressions to represent the amount the two of them earn per week.

Combining Like Terms 1. When you combine like terms, find variables that have the same letters (to the same powers). Group them together… Remember to keep the negative signs with variables that are being subtracted… 2. Add the coefficients of the like terms together. The variable part of the expression remains the same.

Like Terms Example

Like Terms** Definition: Terms that contain the same variables, with corresponding variables to the same power. Example: In the expression 3 xy + y – xy + 3 x + 4 y

Equivalent Expressions** Definition: Algebraic expressions that denote the same number, or share the same simplest form. Example: 2 x – 3 + 4 x and 6 x – 3 are equivalent expressions.

Simplest Form** Definition: An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parenthesis. Example: Write 5 x + 3(x + 2) in simplest form 8 x + 6

Simplest Form* 1. Remove all parenthesis. (Distribute) 2. Identify like terms and combine (add coefficients). Simplify each expression:

Classwork #10* Write each expression in simplest form. If an expression is in simplest write “In simplest form” 1. 2. 3. 4.

HW 1 -7 On Unit outline 25 – 45 (odd) 49 – 51 (pick 1 problem) Heading, title, and OBJECTIVE Copy problems… Show your work…