The Distributive Property Notes Day 1

The Distributive Property Notes Day 1

Distributive Property

• Is a property of real numbers that helps simplify expressions

• a(b + c) = ab + ac

• (30 - 2)7 = 30(7) - 2(7)

Simplifying Expressions

• 4(x + 2)

• 4(x) + 4(2)

• 4x + 8

Simplifying Expressions

• (2x + 3) (-3)

• -3(2x) + 3(-3)

• -6x - 9

Simplifying Expressions

• -6(4x - 1)

• -24x - 6

Simplifying Expressions

• (-3x + 5) (2)

• -6x + 10

Multiplication Property

The multiplication property of -1 * X = -X

To simplify an expression such as -(x + 6) you can rewrite the expression as -1(x + 6) and use the distributive property.

Multiplication Property of -1

• Simplify

• -(x + 5)

• -1(x + 5)

• -1 (x) + (-1) (-5)

• -x - 5

Multiplication Property of -1

• Simplify

• -(-x + 3)

• -1(-x + 3)

• x - 3

Multiplication Property of -1

• Simplify

• -(4x - 2)

• -1(4x - 2)

• -4x + 2

Multiplication Property of -1

• Simplify

• -(9x - 8y)

• -1(9x - 8y)

• -9x + 8y