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# 1.4 Distributive Property PowerPoint PPT Presentation

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

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.;.

### 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