1. DDiissttrriibbuuttiivvee
PPrrooppeerrttyy
iinn
AAllggeebbrraa

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 ________
_____________________________.