Distributive Property and Simplification

The video tutorial explains the distributive property and demonstrates how to simplify expressions by distributing multiplication over addition. It covers several examples, including distributing negative numbers and fractions, and emphasizes the importance of combining like terms. The tutorial provides a step-by-step approach to understanding and applying the distributive property in various mathematical expressions.

What is the distributive property formula?

• a + (b * c) = a * b + c

• a * (b - c) = a * b - c

• a * (b + c) = a * b + a * c

• a * (b + c) = a + b + c

In the expression 5 * (5x + 3), what is the result after applying the distributive property?

• -25x + 15

• 25x - 15

• 25x + 15

• -25x - 15

How many products are formed when distributing 8 * (-6w^2 - 9w + 2)?

• One

• Two

• Three

• Four

What is the simplified form of 8 * (-6w^2 - 9w + 2)?

• 48w^2 - 72w + 16

• -48w^2 + 72w - 16

• -48w^2 - 72w + 16

• 48w^2 + 72w - 16

What is the result of distributing -1 in the expression -(-t^2 + 6t - 7)?

• t^2 - 6t + 7

• -t^2 + 6t - 7

• t^2 + 6t - 7

• -t^2 - 6t + 7

What is the effect of distributing a negative sign across an expression?

• It doubles each term.

• It adds a positive sign to each term.

• It changes the sign of each term.

• It leaves the expression unchanged.

In the expression 5/8 * (1/3x + 1/4), what is the result of distributing 5/8?

• 5/24x + 5/32

• 5/24x - 5/32

• 5/32x + 5/24

• 5/32x - 5/24

What should you check before multiplying fractions in the distributive property?

• If there are common factors between numerators and denominators

• If the fractions are improper

• If the fractions are mixed numbers

• If the fractions are negative

What is the simplified form of 5/8 * (1/3x + 1/4)?

• 5/24x - 5/32

• 5/24x + 5/32

• 5/32x + 5/24

• 5/32x - 5/24

What is the main purpose of using the distributive property in algebra?

• To add terms together

• To simplify expressions

• To divide terms

• To convert fractions