180 likes | 213 Views
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….
E N D
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…. You simply multiply the number in front of the parenthesis with each part inside the parenthesis. For example: 3(x+2) = 3x + 3(2) = 3x+6 3(x+2)
Simplify using the distributive property. 1) 4) 2) 5) 3) 6)
Simplify using the distributive property. 1) 4) 2) 5) 3) 6)
Distributive Property Practice • 3( x + 4) = __________ • 2( a + b) = __________ • 6( t – 10) = __________ • 8( 5 – t ) = __________
Distributive Property Practice • 20( 3 – s) = __________ • 10( 5 + w) = __________ • ½( x + 6) = __________ • 15.5( s + 4) = __________ • 7( b + 2.7) = __________
Cont. Examples 1. 5(2x+1) 2. 3(x +5) 3. 2 +3(x + 6)
Group Practice Try the following on your own • 4 + 6(3 – x) • 2(x + 4) +3 • 6. 2(x + 6 + 3)
Group Practice (con’t) 4. 4 + 6(3 - x) 5. 2(x+4)+3 6. 2(x+ 6 – 3)
4 5 2 Geometric Model for Distributive Property Two ways to find the area of the rectangle. As a whole As two parts
4 5 2 same Geometric Model for Distributive Property Two ways to find the area of the rectangle. As a whole As two parts
Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts
same Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts
Use the distributive property to write an equivalent variable expression. Then simplify. 1) 4) 2) 5) 3) 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)