2-2 The Distributive Property

Distributive Property of Multiplication over Addition:

Ex. 3(2+6)

Multiplication

Addition

You can distribute a factor to each term inside a set of parentheses.

Ex. 3(2+6) = (3 2) +(3 6)

1.) a(b + c) =  2.) 4(x + y) =

3.) q(3 + w)

Distributive Property of Multiplication over Subtraction:

You can distribute a factor to each term inside a set of parentheses.

Ex. 4(6-2)

Multiplication

subtraction

4(6-2) = (4 6)- (4 2)

1.) a(b – c) =  2.) 4(3 – (-5)) =

 

3.) q(3 – 5)

Evaluate using the Distributive Property:

 1.) 10(4 + 3) = 2.) 9(5 – 2) =

 3.) 7(3 + 6) = 4.) 3(15 – 20)

 

4.) (3 – y)(-8) = 3.) -4(2r +5) =

Use the Distributive Property to write an equivalent variable expression.

1.) 6(r +5) = 2.) 9(r – 8) =

Use the distributive Property and mental math to evaluate.

1.) 32(7) 2.) 43(5)

3.) 60(108)  4.) 5(399)

5.) 3(5.5) 

Use the Distributive Property to write an equivalent variable expression.

Use the Distributive Property to evaluate.

Use the distributive Property and mental math to evaluate.

Demonstrate Understanding

 1.) 12(2 + 5) = 2.) 6(3 – 7) =

3.) -6(d + 7) = 4.) 7(y – 9) =

5.) 5(41) 6.) 4(28)