Distributive Property

Distributive Property

by Rupert Cox

The Distributive Property

• The distributive property allows us to multiply each term inside parentheses by the number outside the parentheses. 

• 4(3 + 4) = 4(3) + 4(4)

Using Variables

• Multiply 5 times x

• Multiply 5 times 6

• We multiply the outside number by all terms on the inside of the parentheses.

Example

• 5(12 + 4)

Example

• 4(x + 5)

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Multiple Choice

Which expression is equivalent to $$6x+24$$  ?

• $$6\left(x+24\right)$$  

• $$6\left(x\right)+6\left(4\right)$$  

• $$x\left(6+24\right)$$  

• $$30x$$  

Distributive Property and Combining Like Terms

Simplify: 3x + 2(x + 2) - 18

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Multiple Choice

6(x + 1) - 5(x + 2)

• 2x + 8

• x - 4

Poll

Do you understand the Distributive Property?

• Yes

• No

• Sort of