Distributive Property and Combining Like Terms

The video tutorial explains how to expand and simplify expressions using the distributive property. It begins by introducing the concept and demonstrating how to multiply terms within brackets. The tutorial then guides viewers through the process of simplifying expressions by combining like terms, ultimately arriving at the final simplified expression.

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

• Add all the terms together.

• Subtract the terms from each other.

• Divide the terms by the number outside the brackets.

• Multiply each term inside the brackets by the number outside.

When a number is attached to brackets, what operation is implied?

• Division

• Multiplication

• Addition

• Subtraction

If you have 5 times (2x - 3y), what is the result of distributing the 5?

• 5x - 3y

• 10x - 15y

• 10x + 15y

• 2x - 3y

What should you remember when distributing a negative number across terms in brackets?

• Add the negative to each term inside the brackets.

• Multiply the negative with each term inside the brackets.

• Only multiply the negative with the first term.

• Ignore the negative sign.

What is the result of distributing -4 across (3x + 6y)?

• -12x + 24y

• 12x - 24y

• 12x + 24y

• -12x - 24y

What is the next step after distributing coefficients in an expression?

• Subtract the terms from each other.

• Divide each term by the coefficient.

• Collect like terms.

• Add all terms together.

How do you simplify the expression 10x - 12x?

• -2x

• 2x

• 0

• 22x

What is the result of combining -15y and -24y?

• 9y

• -9y

• 39y

• -39y

Why can't you combine the terms 10x and -15y?

• They have different coefficients.

• They are not like terms.

• They are already simplified.

• They are both positive.

What is the final simplified form of the expression 10x - 12x - 15y - 24y?

• 2x - 39y

• -2x + 39y

• -2x - 39y

• 2x + 39y