Distributive Property and Simplification

This video tutorial explains how to simplify expressions using the distributive property. It begins with an introduction to the concept, followed by two examples: simplifying 4 times the quantity of 2x minus 5, and 7 times the quantity of -3x plus 4. The video emphasizes the importance of distributing the number outside the parentheses to each term inside, including the sign in front of each term. Key reminders are provided to ensure correct application of the distributive property.

What is the main focus of this video tutorial?

• Graphing linear equations

• Solving quadratic equations

• Finding the greatest common factor

• Simplifying expressions using the distributive property

In the expression 4(2x - 5), what is the result of distributing 4 to 2x?

• 6x

• 2x

• 8x

• 4x

What is the simplified form of 4 times the quantity of 2x minus 5?

• 8x + 20

• 2x - 10

• 8x - 20

• 4x - 5

In the expression 7(-3x + 4), what is the result of distributing 7 to -3x?

• -21x

• 21x

• -14x

• 14x

What is the simplified form of 7 times the quantity of -3x plus 4?

• 21x + 28

• -21x + 28

• 21x - 28

• -21x - 28

What should you remember about the sign of terms when using the distributive property?

• Always include the sign in front of each term

• Ignore the sign of the terms

• Only consider positive signs

• Only consider negative signs

What does it mean when you see a number before parentheses in an expression?

• Add the number to each term inside

• Subtract the number from each term inside

• Distribute the number to each term inside

• Divide the number by each term inside