Exploring the Distributive Property in Depth

This video tutorial explains the distributive property and its application in simplifying mathematical expressions. It covers examples with both numbers and variables, including handling negative numbers. The tutorial also demonstrates how to combine like terms after applying the distributive property, emphasizing the importance of following the order of operations.

What does the distributive property allow us to do?

• Add numbers inside and outside parentheses.

• Divide numbers inside parentheses by numbers outside.

• Multiply numbers inside parentheses by numbers outside.

• Subtract numbers inside parentheses from numbers outside.

How do you apply the distributive property to 3(x + 4)?

• 12x + 4

• 3x + 4

• 3 + x + 4

• 3x + 12

What is the result of using the distributive property on -4(3 + 1)?

• -16

• -4

• -12

• 4

How does the distributive property work with variables, for example, 4(x + 2)?

• 8x

• 4 + x + 2

• 4x + 2

• 4x + 8

When combining like terms, what is the simplified form of 2x + 3x?

• x^2

• 5

• 6x

• 5x

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

• -3x - 15

• 3x + 15

• -8x

• -3x + 15

What is the result of applying the distributive property to the expression -4(w - 2) + 3w?

• -w + 8

• -w - 8

• -4w - 8

• -1w - 8

In the expression 3x - 2x, what is the simplified result?

• -x

• 1x

• 5x

• x

What is the final simplified form of 5 + 6x + 4x?

• 5 + 10x

• 11x + 5

• 9x

• 11 + 10x

After distributing and combining like terms, what is the simplified form of 2 - 7x + 6x?

• -5x

• -x - 12

• 12 - x

• -x + 12