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1.4 Distributive Property. Objective: Review the use of the Distributive Property to simplify expressions CFU 3102.1.9; SPI 3102.1.13 ; CFU 3102.2.1

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1.4 Distributive Property

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1 4 distributive property

1.4 Distributive Property

Objective: Review the use of the Distributive Property to simplify expressions

CFU 3102.1.9; SPI 3102.1.13 ; CFU 3102.2.1

Identify and use properties of the real numbers (including commutative, associative, distributive, inverse, identity element, closure, reflexive, symmetric, transitive, operation; Recognize and use like terms to simplify expressions.;.


Glossary terms define and place in your glossary

Glossary TermsDefine and place in your glossary.

  • Variable

  • Algebraic Expression

  • Factors

  • Products

  • Evaluate

  • Reciprocal

  • Function

  • Origin

  • Solution Set

  • Coefficient

  • Ordered Pair

  • Power

  • Base

  • Exponent

  • Domain

  • Range

Remember you have 5 minutes to get started.


Key notes for today copy into your notebook

Key Notes for Today copy into your notebook

  • For any numbers a, b and c

    a(b + c) = ab + ac

  • Also

    a(b-c) = ab – ac

    (b + c)a = ba + ca

    And (b – c)a= ba – ca

  • Like Terms

    • Terms with same variable and same exponents.


Suppose

Suppose…..

  • You work in a video store. In the morning you have 8 customers. Each one buys a new game and a bargain game. Calculate your total sales for the morning.

One Calculation

8 (14.95) + 8(34.95)

= $119.60 + $279.60

= $399.20

Another Calculation

8 (14.95 + 34.95)

= 8 (49.90)

= $399.20


Distributive property

Distributive Property

  • For any numbers a, b and c

    a(b + c) = ab + ac

    2(4 + 5) =

    2*4 + 2*5 =

    8 + 10 =

    18

Also

a(b-c) = ab – ac

(b + c)a = ba + ca

And (b – c)a= ba - ca


Distributive property1

Distributive Property

  • For any numbers a, b and c

    a(b + c) = ab + ac

    8(3x + 2) =

    (2y – 3) 4 =


Like terms

LIKE TERMS

  • Terms with same variable and same exponents.

  • YOU CAN ONLY ADD AND SUBTRACT LIKE TERMS

    2x + 3y =

    2x + 3y

    4q2 + 8q =

    4q2 + 8q


Like terms1

LIKE TERMS

  • Terms with same variable and same exponents.

  • YOU CAN ONLY ADD AND SUBTRACT LIKE TERMS

    3x + 5x =

    8x

    3m2 + 8m2 =

    11m2

Always write the COEFFICIENT (Letter)

First

2n not n2


Assignment

Assignment

  • Page 27, 14 – 46 Even

  • Copy table “Properties of Numbers” on page 26 into your notes


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