Distributive Property Lesson

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)

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

Using Variables

• Multiply 5 times x

• Multiply 5 times 6

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

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

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

Multiple Choice

Use distributive property to solve:

- ( 8 - m)

• -8 + m

• -8 - m

• 8 + m

Multiple Choice

Use distributive property to solve:

3(2c - 5)

• 3c + 15

• 6c - 15

• 9c - 5

• 6c + 15

Multiple Choice

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

Multiple Choice

$$\frac{1}{2}(t+8)$$  

• $$\frac{1t}{2t}+\frac{8}{2}$$  

• $$\frac{1}{2}t+8$$  

• $$\frac{1}{2}t+4$$  

• $$\frac{1}{2}t+\frac{8}{16}$$  

Multiple Choice

0.5 (u - 6)

• 0.5u + 6

• 0.5u + 3

• 0.5u - 6

• 0.5u - 3

Multiple Choice

-3 (a + 3)

• 3a - 9

• -3a + 9

• 3a + 9

• -3a - 9

Multiple Choice

$$-\frac{1}{3}\left(y\ -\ 9\right)$$  

• $$\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y+3$$  

• $$-\frac{1}{3}y-3$$  

• $$-\frac{1}{3}y+9$$