Distributive Property in Algebra

The video tutorial explains the distributive property in algebra, demonstrating how to multiply terms using this property. It covers several examples, including distributing with negative numbers, polynomials, negative one, and fractions. The tutorial emphasizes the importance of showing work for clarity and understanding, especially when dealing with complex expressions.

What is the distributive property used for in algebra?

• To multiply a single term across terms inside parentheses

• To add numbers

• To subtract numbers

• To divide numbers

What is the main advantage of using the distributive property?

• It is used for subtraction

• It simplifies addition

• It allows multiplication to be distributed over addition or subtraction

• It helps in division

In the expression 9 * (-7x - 5), what is the result of distributing 9?

• -63x + 45

• 63x - 45

• 63x + 45

• -63x - 45

When distributing 8 in the expression 8 * (W^2 + 3W + 5), what is the coefficient of W?

• 16

• 24

• 8

• 3

In the expression 8 * (W^2 + 3W + 5), what is the constant term after distribution?

• 8

• 40

• 5

• 24

What is the simplified form of -1 * (7t^2 - 3T + 6)?

• 7t^2 - 3T + 6

• -7t^2 + 3T - 6

• 7t^2 + 3T - 6

• -7t^2 - 3T + 6

How does distributing a negative number affect the signs of terms inside parentheses?

• It makes all terms positive

• It reverses the signs of all terms

• It doubles the terms

• It has no effect

In the expression 2/3 * (1/8x + 16), what is the result of distributing 2/3 to 1/8x?

• 1/12x

• 1/4x

• 1/24x

• 1/16x

Why is it important to show work when dealing with fractions in the distributive property?

• To make it look complicated

• To avoid using a calculator

• To impress others

• To ensure accuracy and simplify correctly

What is the result of distributing 2/3 to 16 in the expression 2/3 * (1/8x + 16)?

• 32/3

• 4/3

• 8/3

• 16/3