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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.3

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

• 4x + 3

• 4x - 12

• 4x - 3

• 4x + 12

Tags

CCSS.6.EE.A.3

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

• -5x + 35

• 5x - 35

• -5x - 35

• 5x + 35

Tags

CCSS.6.EE.A.3

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

• 5x + 35

• -5x - 35

• 5x - 35

• -5x + 35

Tags

CCSS.7.EE.A.1

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

• 6x + 12y

• 6x - 12y

• -6x + 12y

• -6x - 12y

Tags

CCSS.7.NS.A.1C

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

Tags

CCSS.6.EE.A.3

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

• -6x - 12y

• -6x + 12y

• 6x + 12y

• 6x - 12y

Tags

CCSS.7.EE.A.1

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

• 5x + 3

• -5x - 3

• -5x + 3

• 5x - 3

Tags

CCSS.7.EE.A.1

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

• 5x - 3

• -5x + 3

• -5x - 3

• 5x + 3

Tags

CCSS.7.EE.A.1