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

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

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Page 1: 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.

Page 2: 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 )

Page 3: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

It’s Academic! Club

• Meeting today after school in rm 319

• 3:10 – 3:30

Page 4: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

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.

Page 5: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

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.

Page 6: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

Like Terms Example

xxxyxxyx 243453 22

)35()24()43( 22 xyxyxxxx

xyxx 862

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

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

Page 8: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

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.

Page 9: 1-7 Distributive Property II Objective: To use the distributive property to simplify 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

Page 10: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

Simplest Form*

1. Remove all parenthesis. (Distribute)

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

Simplify each expression:

33

2424

24

234

aa

wwww

Page 11: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

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

Page 12: 1-7 Distributive Property II Objective: To use the distributive property to simplify expressions

HW 1-7

On Unit outline

25 – 45 (odd)

49 – 51 (pick 1 problem)

Heading, title, and OBJECTIVE

Copy problems…

Show your work…