Understanding the Distributive Property

The video tutorial covers the distributive property, explaining how to multiply a sum or difference by a number. It provides several examples, starting with simple expressions and progressing to more complex ones, including those with fractions and multiple terms. The tutorial emphasizes the importance of multiplying each term inside the parentheses by the number outside and simplifying the result. It also touches on using the commutative and associative properties to rearrange and group terms for simplification.

What is the main idea of the distributive property?

• Adding numbers inside parentheses

• Multiplying a sum or difference by a number

• Dividing terms by a constant

• Subtracting terms from each other

In the expression 4(n + 5), what is the result of applying the distributive property?

• n + 20

• 4n + 5

• 4n + 20

• 4 + 5n

When using the distributive property, what should you do after multiplying each term?

• Add all terms together

• Subtract the terms

• Simplify the expression

• Divide by the number outside

In the expression 12(2w - 3), what is the simplified form?

• 24w - 36

• 12w + 3

• 12w - 3

• 24w + 36

What is the result of applying the distributive property to 1/2(6y - 2z)?

• 3y - z

• 6y - 2z

• 3y + z

• 6y + 2z

How can 1z be simplified?

• z

• 0

• z1

• 1

In the expression 9(6 + x + 2), what is the first step in applying the distributive property?

• Add 6 and x

• Divide each term by 9

• Multiply 9 by each term inside

• Subtract 2 from 6

What is the simplified form of 9(6 + x + 2) after applying the distributive property?

• 54x + 9 + 18

• 54 + 9x + 18

• 9x + 54 + 18

• 9 + x + 18

Which property allows you to rearrange terms to simplify an expression?

• Identity Property

• Distributive Property

• Associative Property

• Commutative Property

What is the final simplified result of 9(6 + x + 2) using the distributive property?

• 63 + 9x

• 72 + 9x

• 72x + 9

• 63x + 9