Area Model Distributive Property

Which of the following expressions represents the total area of the rectangle?

• 5(2 + 3)

• 3(2 + 5)

• 2(3 + 5)

• 2(3) + 3(5)

Choose the TWO expressions that do NOT represent the area of the rectangle.

• t(5 + 4)

• t + 5 + 4

• 9t

Which expression shows the total area as a product of the length and width?

• 3x + 7

• 3x + 21

• 3 

What numbers represent the two blank spaces of the length of the rectangle?

• x and 8

• x and 3

• x and 12

• 12x and 12x

What goes inside the blanks in the length of the rectangle?

• 6 and 3x

• 6 and 3

• 6 and 27x

What is the total area of the larger rectangle?

• 3x + 6

• 3 + 6x

• 18x

• 3x + 18

x + 5

• 2x + 2
  

• 4x + 8
  

• 3x + 15
  

• 3x + 5
  

a way to represent multiplication where 4 numbers in rectangles are added to get the product

• multiples

• area model

• Distributive property of multiplication

• Partial Product

breaking a large fact into 2 smaller facts that can be added together

• expression

• area model

• Distributive property of multiplication

• Product

The area model shown is made up of 2 smaller shaded rectangles. Which equation represents the total area of the area model? Select TWO answers.

• (2 + 3) + (5 + 3) = 13

• (2 x 3) + (5 x 3) = 21

• 3 x (2 + 5) = 21

• (2 x 3) x (7 x 3) = 27