Exploring the Distributive Property in Depth

This video tutorial covers the distributive property, starting with a basic introduction and moving through examples using both numbers and variables. It explains how to distribute a number across terms within parentheses and then combine like terms. The tutorial emphasizes the importance of distributing first before combining terms, providing multiple examples to illustrate these concepts.

What operation is always used in the distributive property?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.6.EE.A.3

When distributing a positive number, what sign does the product have?

• Zero

• Always negative

• Depends on the other number

• Always positive

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

How does distributing a negative number affect the sign of the product?

• Turns it into zero

• Makes it positive

• Makes it negative

• No effect

Tags

CCSS.7.NS.A.2C

What is the result of distributing -2 into -3?

• -6

• 6

• -5

• 5

Tags

CCSS.7.NS.A.2C

In the expression 4(x + 2), what is the first step to simplify it using the distributive property?

• Multiply 4 and x

• Add x and 2

• Subtract 2 from x

• Divide 4 by x

Tags

CCSS.6.EE.A.3

What cannot be combined in an algebraic expression?

• Like terms

• Variables

• Unlike terms

• Constants

Tags

CCSS.6.EE.A.2B

What is the simplified form of 3x + 2x?

• 5x

• 5

• x^2

• 6x

Tags

CCSS.7.EE.A.1

What is the first step in simplifying expressions using both distributive property and combining like terms?

• Simplify constants

• Combine like terms

• Factor out common variables

• Distribute

Tags

CCSS.7.EE.A.1

What is the result of applying the distributive property to -3(x + 5)?

• -3x + 15

• 3x + 15

• 3x - 15

• -3x - 15

Tags

CCSS.6.EE.A.3

After distributing and combining like terms, what is the final step?

• Multiply all terms

• Add a constant

• Simplify the expression

• Divide each term by the coefficient

Tags

CCSS.7.EE.A.1