1-7 distributive property ii objective: to use the distributive property to simplify expressions

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 )

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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

xxxyxxyx 243453 22

)35()24()43( 22 xyxyxxxx

xyxx 862

Like Terms**

Definition: Terms that contain the same variables, with corresponding variables to the same power.

Example: In the expression

3xy + y – xy + 3x + 4y

Equivalent Expressions**

Definition: Algebraic expressions that denote the same number, or share the same simplest form.

Example: 2x – 3 + 4x and 6x – 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 5x + 3(x + 2) in simplest form

8x + 6

Simplest Form*

1. Remove all parenthesis. (Distribute)

2. Identify like terms and combine (add coefficients).

Simplify each expression:

33

2424

24

234

aa

wwww

Classwork #10*

Write each expression in simplest form. If an expression is in simplest write “In simplest form”

1.

2.

3.

4. 22 9343 acbaca

tttt4

1

3

2

2

1 22

2222 105816 bbaaba 3

27

qpqp

HW 1-7

On Unit outline

25 – 45 (odd)

49 – 51 (pick 1 problem)

Heading, title, and OBJECTIVE

Copy problems…

Show your work…