Simplifying Expressions using Distributive Property

Objective - To use the distributive property to simplify numerical and variable expressions. Distributive Property or Order of Operations Distributive Property It works! Why use the distributive property?

RECAP…. 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

Simplify using the distributive property. 1) 2) 3) 4) 5) 6)

Simplify using the distributive property. 1) 2) 3) 4) 5) 6)

Distributive Property Practice 1.3( x + 4) = __________ 2.2( a + b) = __________ 3.6( t – 10) = __________ 4.8( 5 – t ) = __________

Distributive Property Practice 1.20( 3 – s) = __________ 2.10( 5 + w) = __________ 3.½( x + 6) = __________ ( s + 4) = __________ 5.7( b + 2.7) = __________

Cont. Examples 1. 5(2x+1) 2. 3(x +5) (x + 6)

Group Practice Try the following on your own (3 – x) 5.2(x + 4) (x )

Group Practice (con’t) (3 - x) 5. 2(x+4) (x+ 6 – 3)

Geometric Model for Distributive Property Two ways to find the area of the rectangle As a wholeAs two parts

Geometric Model for Distributive Property Two ways to find the area of the rectangle As a wholeAs two parts same

Find the area of the rectangle in terms of x, y and z in two different ways. x yz As a wholeAs two parts

Find the area of the rectangle in terms of x, y and z in two different ways. x yz As a wholeAs two parts same

Use the distributive property to write an equivalent variable expression. Then simplify. 1) 2) 3) 4) 5) 6)

Use the distributive property to help simplify the following without a calculator. 1)2)

Use the distributive property to help simplify the following without a calculator. 3)4)