The document discusses the distributive property in algebra. The distributive property allows terms inside parentheses to be distributed so that expressions can be simplified out of order from the standard order of operations. It involves multiplying the number outside of the parentheses by each term inside the parentheses. Examples are provided to demonstrate how to use the distributive property to simplify expressions.

1. DDiissttrriibbuuttiivvee
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2. DDiissttrriibbuuttiivvee PPrrooppeerrttyy
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

3. DDiissttrriibbuuttiivvee pprrooppeerrttyy
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

4. EExxaammpplleess
1. 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

5. GGrroouupp PPrraaccttiiccee
Try the following on your own
4. 4 + 6(3 – x)
5. -2(x + 4) +3
6. 2(x + 6 – 3)

6. GGrroouupp PPrraaccttiiccee ((ccoonn’’tt))
4. 4 + 6(3 - x) = 4+ 6(3) - 6(x) = 4 + 18 - 6x
= 22 - 6x
5. -2(x+4)+3 = -2(x) + -2(4)+3 = -2x + -8 +3
= -2x – 5
6. 2(x+ 6 – 3) = 2(x) + 2(6) – 2(3) = 2x + 12 – 6
= 2x + 6

7. SSuummmmaarryy
• The distributive property is used
when ________________________.
• You would not want to use the
distributive property when ________
_____________________________.