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1.4 Distributive Property

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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

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.;.

- 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.

- 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.

- 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

- 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

- For any numbers a, b and c
a(b + c) = ab + ac

8(3x + 2) =

(2y – 3) 4 =

- Terms with same variable and same exponents.
- YOU CAN ONLY ADD AND SUBTRACT LIKE TERMS
2x + 3y =

2x + 3y

4q2 + 8q =

4q2 + 8q

- 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

- Page 27, 14 – 46 Even
- Copy table “Properties of Numbers” on page 26 into your notes