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

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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.;.

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
• 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…..
• 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
• 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 Property
• For any numbers a, b and c

a(b + c) = ab + ac

8(3x + 2) =

(2y – 3) 4 =

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