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

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

• Zero

• Always negative

• Depends on the other number

• Always positive

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

• Turns it into zero

• Makes it positive

• Makes it negative

• No effect

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

• -6

• 6

• -5

• 5

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

What cannot be combined in an algebraic expression?

• Like terms

• Variables

• Unlike terms

• Constants

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

• 5x

• 5

• x^2

• 6x

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

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

• -3x + 15

• 3x + 15

• 3x - 15

• -3x - 15

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