Exploring the Distributive Property and Like Terms

The video tutorial covers the distributive property and combining like terms in algebra. It begins with an explanation of the distributive property as a multiplication problem and combining like terms as an addition or subtraction problem. The tutorial emphasizes the importance of following the order of operations (PEMDAS) and provides several examples to illustrate these concepts. Each example demonstrates how to apply the distributive property and combine like terms, including handling negative numbers and ensuring correct sign usage.

What operation does the distributive property involve?

• Division

• Addition

• Subtraction

• Multiplication

What must be done first according to PEMDAS?

• Addition

• Combining like terms

• Subtraction

• The distributive property

What is the result of distributing 3 through the expression (-4x + 5)?

• -12x + 15

• -12x - 15

• 12x + 15

• 12x - 15

How do you combine -5x and -8x?

• -13x

• 3x

• 13x

• -3x

After distributing 3 through (-2v - 8) and adding 16, what is the simplified expression?

• 6v - 8

• -6v + 8

• 6v + 8

• -6v - 8

What is the result of distributing -6 through (7f + 3) and subtracting 8?

• 42f - 18

• 42f - 26

• -42f - 18

• -42f - 26

What is the final expression after combining -42f, -3f, and subtracting 18 from -8?

• -45f + 26

• 45f - 26

• 45f + 26

• -45f - 26

What is the result of distributing -5 through (-7 + -10) and adding 13m?

• 35m + 50

• -35m + 50

• 35m - 50

• -35m - 50

What is the simplified form of the expression after combining like terms in the final example?

• -48m - 50

• 48m - 50

• -48m + 50

• 48m + 50

What is the importance of paying attention to signs when applying the distributive property?

• It has no effect on the final answer.

• It affects the final sign of the answer.

• It determines the direction on the number line.

• It changes the operation from multiplication to division.