Distributive Property Day 1

Distributive Property allows you to distribute a factor outside a

parenthesis to the addends/subtrahends inside the

parenthesis.

In-Ticket 1.Solve: ( 3^2 – 8÷2)4 2. Evaluate if x=6, y=5, and z=10

7x – (5z – 4y)

3. Identify the Property (5+3) x 2 = (3+5) x 2

4.Translate the phrase Six times the difference of four and a number

Example #1Using order of

operations5(6+1)5 x 735

Using distributive property

5(6+1)5 x 6 + 5 x 1 30 + 5 35

Example # 2Using order of

operations7(3 – 2)7 x 17

Using distributive property

7(3 – 2)7 x 3 – 7 x 2 21 – 14 7

What about 5(a+3) or 7(6+x)

Can you add a and 3?Can you add 6 and x?

Must use Distributive Property to help simplify Algebraic

ExpressionsTo Simplify Algebraic ExpressionsStep 1: Get rid of ALL grouping

symbolsStep 2: Do ALL possible operations

This includes combining like terms(Addition/Subtract)

Example #3

5(a+3)5 x a + 5 x 3 5a + 15

Example #4

7(6+b)7 x 6 + 7 x b 42 + 7b

You Try Now

Example #53(c – 2)

#6Example2(8 – d)