Distributive Property and Expansion

The video tutorial demonstrates how to use the distributive property to expand an expression. The instructor begins by introducing the problem and setting up the expression. The expression is then rewritten to facilitate the application of the distributive property. The instructor proceeds to apply the distributive property step-by-step, multiplying each term within the parentheses by the factor outside. Finally, the calculation is completed, and the result is checked to ensure accuracy.

What is the first step in using the distributive property to expand an expression?

• Divide the terms inside the parentheses by the outside term.

• Add the terms inside the parentheses.

• Multiply each term inside the parentheses by the outside term.

• Subtract the terms inside the parentheses.

When distributing 6 across the expression -4w + 1/2, what is the result of 6 times -4w?

• 24w

• -24w

• -8w

• 8w

What is the result of multiplying 6 by 1/2 in the expression?

• 3

• 2

• 1

• 4

What is the final expanded form of the expression 6(-4w + 1/2)?

• 24w - 3

• -24w + 3

• -24w - 3

• 24w + 3

Why is it important to check your answer after expanding an expression?

• To verify that no steps were skipped.

• To ensure the expression is in simplest form.

• All of the above.

• To confirm the accuracy of the calculations.