Distributive Property and Simplification

The video tutorial covers the distributive property, starting with basic multiplication examples and moving to algebraic expressions. It includes practice problems, word problems, and simplification of expressions with like terms. The tutorial emphasizes breaking down numbers by place value and applying the distributive property to both numerical and algebraic expressions.

What is the result of using the distributive property to calculate 8 times 53?

• 424

• 400

• 424

• 424

How do you apply the distributive property to 6 times 82?

• 6 times 80 plus 2

• 6 times 8 plus 6 times 2

• 6 times 8 plus 2

• 6 times 80 plus 6 times 2

When using the distributive property with algebraic expressions, what is the result of 4(n + 5)?

• 4n + 20

• 4n + 5

• 4n + 5n

• 4n + 25

What is the simplified form of 12(2y + 3)?

• 24y + 36

• 24y + 3

• 12y + 36

• 12y + 3

In a word problem, if Jose is X years old and Felipe is two years older, what expression represents Maria's age if she is three times Felipe's age?

• 3X + 6

• X + 6

• 3X + 2

• 3(X + 2)

How do you simplify the expression 3x + 2x?

• 3x2

• 3x + 2

• 6x

• 5x

What is the result of adding y + y + y?

• 4y

• y

• 2y

• 3y

In the expression 2(z + 5y), what is the result after applying the distributive property?

• 2z + 5

• 2z + 5y

• 2z + 10y

• z + 10y

What is the simplified form of 7z + 2z?

• 2z

• 9z

• 14z

• 7z

How do you simplify the expression 9z - 10y?

• 10y - 9z

• 9z - 10y

• 9z - 10

• 9z + 10y