Use the Distributive Property to Determine the Area

Use the distributive property to write an expression for the area of the rectangle in factored form.

• 3x + 19

• 3x + 18

• 3(x + 6)

• 3(x -6)

Use the distributive property to write an expression for the area of the rectangle in expanded form.

• 3x + 19

• 3x +18

• 3(x+6)

• 3(x-6)

Write an expression for the area of the rectangle.

• x(x +8)

• x² + 8

• 2x +8x

• x + x + (x + 8) + (x + 8)

Using the image, choose the answer that represents the area of the largest rectangle as a product using the distributive property.

• 5x + 7

• 5 + (x + 7) + 5 + (7 + x)

• 5x + 35

• 7(x + 5)

Use the distributive property to expand the following expression: 6(4 + x)

• 30x

• 24x

• 24 + x

• 24 + 6x

Here is a model that can be used to find the product of 18 and 23. Which expression can be used to find the product?

• (10 x 8) + (20 x 3)

• (10 x 20) + (10 x 3) + (8 x 20) + (8 x 3)

• (10 + 8) + (20 x 3)

• (10 +10) + (10 + 8) + (3 + 10) + (20 + 2)

What is the missing partial product in this area model?

• 180

• 1,200

• 40

• 36

Cole is using the distributive property to find the product of 25 x 46. He is confused on the missing parts. Help Cole find the missing numbers.

A = __________

Cole is using the distributive property to find the product of 25 x 46. He is confused on the missing parts. Help Cole find the answer.

25 x 46 = _______

What is the original expression of this area model?

• 65 + 34

• 1,800 x 240 x 150 x 20

• 65 x 34

• 35 x 62