Understanding Distributive Property and Simplification

The video tutorial explains the application of the distributive property in algebra, emphasizing the importance of correctly distributing a number across terms within parentheses. It highlights common mistakes students make, such as incorrectly multiplying terms outside the parentheses. The tutorial walks through an example, demonstrating the correct application of the distributive property and simplifying expressions by combining like terms.

What is the significance of the subtraction of 7 in the expression?

• It is added to the expression.

• It is a separate operation outside the parentheses.

• It should be ignored.

• It is part of the multiplication process.

What common mistake do students make when distributing a number outside the parentheses?

• They divide the number by the terms inside the parentheses.

• They add the number to the terms inside the parentheses.

• They multiply the number by terms outside the parentheses.

• They forget to multiply the number by all terms inside the parentheses.

When applying the distributive property, what is the result of multiplying -3 by -2x?

• -6x

• 6x

• -2x

• 2x

What is the result of multiplying -3 by 1 in the expression?

• -3

• 1

• -1

• 3

After applying the distributive property, what is the next step in simplifying the expression?

• Multiply all terms by 2.

• Subtract all terms.

• Combine like terms.

• Add all terms together.

What is the result of combining -3 and -7?

• -10

• -4

• 4

• 10

Why is it important to identify like terms in an expression?

• To add them together.

• To simplify the expression.

• To multiply them.

• To divide them.

What are the two types of expressions present in the final simplified form?

• Both are variables.

• Both are constants.

• One is a variable, and one is a constant.

• Both are coefficients.

What is the final simplified expression in terms of x?

• 6x - 10

• 6x + 10

• -6x + 10

• -6x - 10