Distributive Property Practice

Definitions

100

What does distribute mean?

To give.

200

The word "Giving" means what?   (operation)

Multiplication 

300

Multiplying is which step when working with the distributive property?  

Step 2

400

TRUE OR FALSE?  

You are GIVING the numbers/variables on the OUTSIDE of the parenthesis to the numbers/variables on the INSIDE of the parenthesis

True

500

TRUE OR FALSE? 

You can only use the distributive property when working with positive numbers.

False

Solve it

100

What is the missing number? 

4(2 + 8)

(4 • 2) + (4 • ? )

8

200

What is the missing number?

9(5 - 7)

(9 • 5) - (9 • 7)  

 ? - 63 

45

300

Solve:

10(8 - 2)

(10 • 8) - (10 • 2)

       80 - 20

          60

400

Solve: 

9(2 + 3)

(9 • 2) + (9 • 3)

     18 + 27 

         45

500

Solve: 

7(6 + 11)

(7 • 6) + (7 • 11)

      42 + 77

         119

Variables

100

What is the missing number?

x(2 + 12)

(x • ?) + (x • 12) 

2

200

Solve: 

5(4 - x)

(5 • 4) - (5 • x)

     20 - 5x

300

Solve: 

15(a + b)

(15 • a) + (15 • b)

   15a + 15b

400

Solve:

3x(x + y)

(3x • x) + (3x • y)

3x² + 3xy

500

Solve:

7y(x - y)

(7y • x) - (7y • y)

7xy - 7y²

Challenge

100

Solve: 

2(3 + 6) + 4

(2 • 3) + (2 • 6) + 4

6 + 12 + 4

22

200

Solve:

5(10 + x) + x

(5 • 10) + (5 • x) + x

50 + 5x + x

50 + 6x

300

Solve:

3(2x + 5y + b)

(3 • 2x) + (3 • 5y) + (3 • b)

6x + 15y + 3b

400

Solve:

6x(x - 1)

(6x • x) - (6x • 1)

6x² - 6x

500

Solve:

2(6 + 10) - 5(1+ 3)

(2 • 6) + (2 • 10) - (5 • 1) + (5 • 3)

(12 + 20) - (5 + 15)

32 - 20

12