Exploring the Distributive Property and Factoring

This video tutorial covers the distributive property and factoring. It begins with an introduction to the distributive property, explaining how it combines addition and multiplication. Several examples demonstrate how to apply the distributive property to simplify expressions. The tutorial then transitions to factoring, describing it as the reverse process of distribution. Examples illustrate how to factor expressions by identifying the greatest common factor. The video encourages viewers to practice these concepts to reinforce understanding.

How do you apply the distributive property to 2(x + 3)?

• 6x + 9

• 2x + 6

• x + 5

• 2x + 3

What is the result of using the distributive property on 5(9 + x)?

• 5x + 14

• 45 + 5x

• 14x

• 45x

What does the distributive property allow you to do?

• Subtract numbers inside parentheses before multiplying.

• Divide a sum by a number equally.

• Multiply a sum by a number by multiplying each addend separately.

• Add numbers inside parentheses without multiplying.

What is the simplified form of 8(x + 3) using the distributive property?

• 8x + 3

• 11x

• 8x + 24

• 24x + 3

How do you factor the expression 12 + 8?

• 2(6 + 4)

• 20(1 + 1)

• 4(3 + 2)

• 12(1 + 2)

What is factoring in mathematical terms?

• Finding the difference between two numbers.

• Adding factors of a number.

• Dividing a sum into its product of factors.

• Multiplying numbers to find a sum.

What is the greatest common factor used to factor 9 + 21?

• 6

• 3

• 9

• 12

Which operation is similar to undoing the distributive property?

• Factoring

• Division

• Addition

• Subtraction

After factoring 3x + 15, what expression do you get?

• 5(x + 3)

• 3(x + 5)

• 3(5x + 1)

• 15(x + 1)

What is the factored form of 11x + 55?

• 11(5x + 1)

• 11(x + 5)

• 66(x + 1)

• 55(x + 1)