Distributing Factors in Expressions

What is the Distributive Property of Multiplication

• When you multiply a number by 1 the product is that number.

  ex: 2 x 1 = 2

• Distribute the number outside the parentheses to the number inside by multiplying.

• You can change the order you multiple numbers but the product doesn't change.

  3x5= 15

  5x3=15

• When you group factors to multiply. the group doesn't change the product.

  ex: (3 x 4) x 2 =24

  3 x (4 x 2) = 24

What property is shown below?

3 (2 + 3)

6 + 9 = 15

• Distributive Property of Multiplication

• Zero Property of Multiplication

• Commutative Property of Multiplication

• Associative Property of Multiplication

Factoring an expression is the opposite of...

• Multiplying

• Dividing

• Distributing

• Adding

Which expression is equivalent to 3(n -6)?

• 3n - 6

• n - 18

• 3n - 18

• 3n - 9

Distribute.

4(x - 20)

• 4x - 80

• 4x - 20

• x - 80

Which of the following is equivalent to
 9(5c + 4)?

• 45c + 36

• 81c

• 45c + 4

• 49c

Simplify the expression: -5(x + 4)

• 5x + 4

• -5x + 4

• -5x - 20

• -5x + 20

The first step is to Distribute. Once you distribute what equation are you left with?

c

d

e

f

-10

7x

x

-56

=

-70

2(4 + 9w) 

• 8+9w

• 2+9

• 8+18w

• 2+9w