1.02 (Distributive Property)

1.02 (Distributive Property)

I can solve equations using the distributive property.

What is Distributive Property?

The Distributive Property multiplies (distributes) a term across the added terms within a set of parentheses. 

Always multiply ALL of the terms within the parentheses and be careful of the signs.

Fill in the Blanks

What Expression is equivalent to the following?

 $5\left(2x+3\right)=_{ }$  

Fill in the Blanks

What belongs in the missing term?

 $2\left(10x\ _-\ _{-\ }\ _{ }\right)=20x\ -16$  

Open Ended

Now you try:

Pick 3 random numbers (that you can easily calculate) to test out the distributive property. (Don't forget to include a variable :)

Multiple Choice

If a = 8, b = 4, and c = 10, what is a(b + c)?

• 22

• 320

• 112

• 2560

Multiple Choice

If m = 9, what is 4m + 2m?

• 54

• 24

• 78

• 18

Multiple Choice

According to the correct order of operation, what should be done first in any mathematical equation?

• Addition

• Division

• Multiplication

• Whatever's inside the parentheses

Multiple Choice

How can 4(3 +9) be expressed using the distributive property?

• 4(3) + 4(4 + 9)

• 4(3) + 4(9)

• 4 + 9 = 9 + 4

• (4 + 3) x (4 + 9)

Multiple Choice

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)