Exploring the Distributive Property in Algebra

What analogy is used to explain the distributive property?

• A gardener planting seeds

• A teacher grading papers

• Parents distributing rewards

• A chef preparing meals

What is the first step in using the distributive property in reverse?

• Identify misbehaving numbers

• Look for a common factor

• Put numbers in parentheses

• Distribute rewards

What common factor is used in the example with 14x + 56?

• 28

• 56

• 7

• 14

How many colors are in each friendship bracelet if using the distributive property in reverse?

• Three

• Five

• Four

• Two

What is the greatest common factor used in the friendship bracelets example?

• 12

• 24

• 36

• 48

What does the distributive property in reverse help to identify in the context of friendship bracelets?

• The total cost of materials

• The number of friends who will receive bracelets

• The number of bracelets that can be made

• The time needed to make each bracelet

What expression is simplified using the distributive property in reverse in the final example?

• 54x + (-18)y - 63 + 45

• 6x + (-2)y - 7 + 5

• 9(6x + (-2)y - 2)

• 9x + (-3)y - 7 + 5

What is the common factor used to simplify the complex expression?

• 12

• 3

• 6

• 9

After simplification, what is the coefficient of x in the final expression?

• 3

• 6

• 12

• 9

What is the final simplified form of the complex expression?

• 6(9x + (-3)y - 3)

• 9(6x + (-2)y - 2)

• 6(9x - 3y - 3)

• 9(6x - 2y - 2)