Distributive Property and Simplification

The video tutorial explains how to simplify expressions by using the distributive property, which involves multiplying across addition or subtraction. It covers examples of distributing positive and negative numbers, simplifying expressions, and finding the opposite of an expression by changing the sign of terms or distributing a negative one. The tutorial emphasizes understanding the formal process and practical shortcuts for simplification.

What property is used to simplify expressions by clearing parentheses?

• Commutative Property

• Distributive Property

• Identity Property

• Associative Property

When distributing a positive number across a subtraction expression, what is the result of 4 times (x - 3)?

• 4x + 12

• 4x - 3

• 4x - 12

• 4x + 3

What is the result of distributing 4 across (x - 3)?

• 4x + 3

• 4x - 12

• 4x - 3

• 4x + 12

How do you simplify the expression -5 times (x + 7)?

• -5x + 35

• 5x - 35

• -5x - 35

• 5x + 35

What is the simplified form of -5 times (x + 7)?

• 5x + 35

• -5x - 35

• 5x - 35

• -5x + 35

What is the result of distributing -3 across (2x - 4y)?

• 6x + 12y

• 6x - 12y

• -6x + 12y

• -6x - 12y

What happens when you subtract a negative number?

• It is equivalent to adding a positive number

• It becomes a smaller negative number

• It becomes a larger negative number

• It remains unchanged

What is the equivalent expression for -3 times (2x - 4y)?

• -6x - 12y

• -6x + 12y

• 6x + 12y

• 6x - 12y

How do you find the opposite of the expression 5x - 3?

• 5x + 3

• -5x - 3

• -5x + 3

• 5x - 3

What is the result of distributing -1 across (5x - 3)?

• 5x - 3

• -5x + 3

• -5x - 3

• 5x + 3