The Distributive property and simplifying expressions'

1
Unit 3.3

• The Distributive property and simplifying
  expressions.

2
The Distributive Property

• The process of multiplying the number on the
  outside of the parentheses with each term on the
  inside.
• a(b c) ab ac
• a(b - c) ab - ac

3
Use the distributive property to evaluate.

• 20(40 6)
• 20 40 20 6
• 800 120
• 920

4
Use the distributive property to evaluate.

• 15(100 - 1)
• 15 100 - 15 1
• 1500 - 15
• 1485

5
The Distributive Propertyused in Algebra
expressions

• Example
• Simplify 5(x 7)
• 5 x 5 7
• 5x 35

6
Your turnuse the distributive property.

• 1) 5(2n 4)
• 2) 9(12x - 4)
• 3) 16(x 3y)
• 4) 7(3y - 6)

10n 20
108x - 36
16x 48y
21y - 42
7
Your turn

• 5) (5a 7b)6
• 6) -8(4x - 7y)
• 7) -6(2n 9)
• 8) -3(2x - 3y 8)

30a 42b
-32b 56y
-12n2 - 54
-6x 9y - 24
8
To Simplify an expressionmeans to

• Remove parentheses
• And
• Combine like terms

9
Simplify

• 5(n 3) 7n 4
• 5 n 5 3 7n 4
• 5n 15 7n 4
• 12n 19

10
Simplify

• 8y 4(x - 3y)
• 8y 4 x - 4 3y
• 8y 4x - 12y
• - 4y 4x
• or 4x - 4y

11
Simplify

• (2x 2)y 6y
• 2x y 2 y 6y
• 2xy 2y 6y
• 2xy 8y