distributive property in algebra power point
DESCRIPTION
Learning to use Distributive property to fine equivalent expressions--Georgia 6th grade mathTRANSCRIPT
Distributive Distributive Property Property
in in AlgebraAlgebra
Distributive PropertyDistributive Property The Distributive Property allows us to
simplify things out of order from the order of operations by distributing things inside parenthesis.
For Example:
3(x+2)
We can’t simplify what’s in the parenthesis because we don’t know the value of x
Distributive propertyDistributive property
But with the distributive property
3(2)
You simply multiply the number in front of the parenthesis with each part inside the parenthesis.
3(x+2)
For example:
3(x+2)
= 3x + = 3x+6
ExamplesExamples1. 5(2x+1) = 5(2x) + 5(1) = 10x + 5
2. -3(x +5) = -3(x) + -3(5) = -3x – 15
3. 2 –3(x + 6) = 2 - 3(x) + -3(6) = 2 – 3x – 18
= -3x – 16
Group PracticeGroup PracticeTry the following on your own
4. 4 + 6(3 – x)
5. -2(x + 4) +3
6. 2(x + 6 – 3)
Group Practice (con’t)Group Practice (con’t)4. 4 + 6(3 - x) = 4+ 6(3) - 6(x) = 4 + 18 - 6x
5. -2(x+4)+3 = -2(x) + -2(4)+3 = -2x + -8 +3
= 22 - 6x
= -2x – 5
6. 2(x+ 6 – 3) = 2(x) + 2(6) – 2(3) = 2x + 12 – 6
= 2x + 6
SummarySummary• The distributive property is used
when ________________________.• You would not want to use the
distributive property when ________ _____________________________.