Distributive Property
Area Models
True or False
Word Problems
Fill in the Blank
100

 Rewrite this using the Distributive Property:
 4 × (3 + 6)

4 × 3 + 4 × 6

100

 What is the area of a rectangle that is 3 feet tall and 122 feet wide using:
 3 × (100 + 22)?

300 + 66 = 366

100

 True or False:
 3(2 + 4) = 3 + 2 + 4

False

100

 Callie is building a walkway that is 5 ft by 27 ft. Use the Distributive Property to solve for area.

5 × (20 + 7) = 100 + 35 = 135 square feet

100

 7 × (___ + 10) = 21 + 70

3

200

 What is the value of this expression using the Distributive Property?
 7 × (10 + 5)

70 + 35 = 105

300

 Explain what the Distributive Property means in your own words.

Multiplying a number by a group of numbers added together is the same as multiplying each number separately and adding the results.

300

 Use the Distributive Property to solve:
 6 × (60 + 2)

360 + 12 = 372

300

 True or False:
 6(10 + 5) = 6 × 10 + 6 × 5

True

300

A gym floor is 50 ft × 84 ft. Split 84 into 80 and 4. Use the distributive property to solve.

50 × (80 + 4) = 4000 + 200 = 4200 square feet

300

 8 × (2 + ___) = 16 + 56

7

500

 You have a rectangle that is 6 units tall and 244 units wide. Break 244 into two parts and use the distributive property.

6 × (200 + 44) = 1200 + 264 = 1464

500

 True or False:
 7(20 + 8) = 7 + 20 + 8

False

500

A rectangle has an area expression of 9 × (30 + 4). What is the total area?

 270 + 36 = 306

500

 5 × (6 + ___) = 30 + 45

9