Expanding and Factoring Expressions Mastery

The video tutorial covers the distributive property, starting with basic examples and moving on to more complex scenarios involving variables. It introduces the area model as a visual representation of the distributive property and provides practice problems for students to solve. The tutorial concludes with an introduction to factoring expressions, which is the reverse process of distribution.

What is the result of distributing 6 in the expression 6 * (3 + 9)?

• 27

• 18

• 54

• 72

Why might we use the distributive property with just numbers?

• To make addition easier

• To practice subtraction

• To keep multiplication simpler and numbers smaller

• To avoid using variables

How do you handle a variable when using the distributive property in the expression 7 * (x + 2)?

• Only distribute to the constant

• Ignore the variable

• Combine the variable and constant

• Distribute the number to both the variable and the constant

What is the simplified form of 7 * (x + 2)?

• 7x + 2

• 7 + 2x

• 14x + 7

• 7x + 14

In a real-life scenario, if you have 4 drinks, 2 pizzas, and 1 ice cream, how would you write this using the distributive property?

• 4D + 8P + 4C

• 4D + 2P + 1C

• D + 2P + C

• 4(D + 2P + C)

What is the area expression for a rectangle with length 5 and width (3x + 2)?

• 15x + 10

• 5x + 6

• 5(3x + 2)

• 5 + 3x + 2

What is the result of distributing 5 in the expression 5 * (6x + 9)?

• 30x + 9

• 30x + 45

• 5x + 54

• 11x + 45

How do you combine like terms in the expression 6 * (4C - 2) + 10?

• 24C - 2

• 24C + 10

• 24C - 12 + 10

• 24C - 12

What is the greatest common factor of 4x and 16?

• 2

• 16

• 4

• 8

How would you factor the expression 12x + 18?

• 3(4x + 6)

• 12(x + 1.5)

• 2(6x + 9)

• 6(2x + 3)