Introduction to Distributive Property

3(4+3r)

• 12+9r

• 7+6r

• 12+5r

6(7k+11)

• 7k+11

• 42k+66

• 13k+16

5(1+5b)

• 5+25b

• 6+6b

• 5+10b

7(2f+3)

• 14f+10

• 9f+10

• 14f+21

7(x + 4)

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

The Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x