Greatest Common Factor Distributive Property

Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?

• 9

• 2

• 18

• 72

Which expression is equivalent to 42+49?
Use the picture to help your thinking.

• 7 * 6 * 7

• 7(6+7)

• 7+(6*7)

• 7+6+7

Rewrite using the GCF and Distributive Property

16 + 24 = ___ ( ___ + ___ )

Which uses the GCF and Distributive Property to solve for 18 + 30?

• 2 ( 9 + 15)

• 3 ( 6 + 10)

• 6 ( 3 + 5)

• 10 (8 +3)

Which expression uses the greatest common factor and distributive property to express 18 + 90?

• 9 ( 5 + 10 )

• 9 ( 2 + 90 )

• 30 ( 24 + 60 )

• 9 ( 2 + 10 )

Which expression uses the GCF (as the number outside the parenthesis) and the distributive property to rewrite the sum 45+105?

• 5(9+21)

• 3(15+35)

• 15(3+7)

• 15(2+8)

• 5(10+20)

Rewrite using Distributive Property: 18+24 *Hint - The first step is to find the GCF

• 4(6+3)

• 2(9+12)

• 6(3+4)

Which expression uses the GCF (as the number outside the parenthesis) and the distributive property to rewrite the sum 45+105?

• 5(9+21)

• 3(15+35)

• 15(3+7)

• 15(2+8)

• 5(10+20)

Which expression uses the greatest common factor and distributive property to express

18 + 90?

• 9 ( 5 + 10 )

• 9 ( 2 + 90 )

• 30 ( 24 + 60 )

• 9 ( 2 + 10 )

5 (2y + 3) = ___ ( ___ + ___ )