Simplifying Expressions with the Distributive Property

The video tutorial explains the distributive property, highlighting common mistakes students make, such as incorrectly multiplying terms outside parentheses. It demonstrates how to apply the distributive property by multiplying coefficients and variable terms. The tutorial also covers simplifying expressions by reordering terms while maintaining their signs and combining like terms to reach the final expression.

What is a common mistake students make when applying the distributive property?

• Adding the number outside the parentheses to all terms inside the parentheses.

• Dividing the number outside the parentheses by all terms inside the parentheses.

• Ignoring the number outside the parentheses.

• Multiplying the number outside the parentheses by all terms, including those outside the parentheses.

When applying the distributive property, what should you multiply?

• Only the coefficients.

• Neither the coefficients nor the variable terms.

• Only the variable terms.

• Both the coefficients and the variable terms.

What is the result of multiplying -3 by 2x?

• -6x

• 6x

• -6

• 6

What is the result of multiplying -3 by 5?

• -15

• 15

• -5

• 5

What is the simplified form of -6x - 10x?

• -16x

• 4x

• 16x

• -4x

What is the equivalent of 5 + 4?

• 5 + 5

• 4 + 5

• 5 - 4

• 4 - 5

What is the equivalent of 5 - 3?

• -5 + 3

• 3 - 5

• -3 + 5

• 5 + 3

When reordering terms, what must you ensure?

• The order of terms remains the same.

• The variables remain the same.

• The coefficients remain the same.

• The signs remain the same.

What is the final simplified form of the expression -6x - 15 - 10x?

• -16x - 15

• -6x - 25

• -16x + 15

• -6x + 15

Why is it easier to reorder terms when simplifying expressions?

• It helps avoid mistakes.

• It eliminates the need for variables.

• It changes the value of the expression.

• It makes the expression longer.