Distributive Property

How can you break apart the expression 8 x 8 using the distributive property?

• (8 x 4) + (8 x 4)

• (8 x 1) + (8 x 7)

• (8 x 2) + (8 x 6)

• (8 x 3) + (8 x 5)

What is the result of breaking apart 7 x 6 using the distributive property?

• (7 x 2) + (7 x 4)

• (7 x 3) + (7 x 3)

• (7 x 5) + (7 x 1)

• (7 x 6) + (7 x 0)

How can the distributive property help in simplifying expressions?

• It allows you to break down complex expressions into simpler parts, making calculations easier.

• It provides a method to multiply two binomials directly without expansion.

• It helps in finding the greatest common factor of two numbers.

• It is used to solve quadratic equations by factoring.

What is a real-world application of the distributive property?

• Calculating total costs when buying multiple items of different prices.

• Finding the area of a rectangle.

• Solving quadratic equations.

• Determining the slope of a line.

What is the relationship between the distributive property and area models?

• The distributive property can be visualized using area models, where the area of a rectangle is broken into smaller rectangles.

• The distributive property is unrelated to area models and focuses solely on numerical operations.

• Area models are only used for geometric shapes and do not relate to the distributive property.

• The distributive property simplifies expressions without any visual representation.

How do you apply the distributive property to the expression (5x2)+(5x5)?

• 5 x (2 + 5) = 5 x 7 = 35

• 5 x 2 + 5 x 5 = 25

• (5 + 5) x (2 + 5) = 35

• 5 x 2 + 5 x 5 = 5 x 7

Why is the distributive property important in algebra?

• It is fundamental for simplifying expressions, solving equations, and understanding polynomial operations.

• It helps in memorizing multiplication tables.

• It is used only in geometry and not in algebra.

• It allows for the factoring of quadratic equations.

What are the missing factors in the equation 17 x 3 = ( ____ x 3) + ( 10 x ____ )?

• 5 and 2

• 7 and 3

• 6 and 4

• 8 and 1

In the equation 6 x 18 = (6 x _?_) + (6 x 10), what is the missing factor?

• 6

• 7

• 8

• 9

How can you express 17 x 3 using the distributive property?

• (10 x 3) + (7 x 3)

• (15 x 3) + (2 x 3)

• (20 x 3) - (3 x 3)

• (17 x 2) + (17 x 1)