Distributive Property Day 1 Distributive Property allows you to distribute a factor outside a parenthesis to the addends/subtrahends inside the parenthesis.

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Presentation transcript:

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 #1 Using order of operations 5(6+1) 5 x 7 35 Using distributive property 5(6+1) 5 x x

Example # 2 Using order of operations 7(3 – 2) 7 x 1 7 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 Expressions To Simplify Algebraic Expressions Step 1: Get rid of ALL grouping symbols Step 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 x b b

You Try Now Example #5 3(c – 2) #6Example 2(8 – d)