Distributive Property and Simplification

The video tutorial explains the distributive property, which involves multiplying a single term by each term inside a set of parentheses. It provides two examples: one with a trinomial and negative numbers, and another with variables. The tutorial demonstrates how to simplify expressions by distributing terms and combining like terms, emphasizing the importance of understanding the process to simplify algebraic expressions effectively.

What is the basic formula of the distributive property?

• a - b = b - a

• a(b - c) = ab - ac

• a(b + c) = ab + ac

• a + b = b + a

When applying the distributive property to a trinomial, what is the first step?

• Divide each term inside the parentheses by the factor outside

• Subtract the terms inside the parentheses

• Multiply each term inside the parentheses by the factor outside

• Add all terms inside the parentheses

How do you simplify the expression -3(-5x) + (-3)(3) - (-3)(4y)?

• 15x - 9 - 12y

• 15x - 9 + 12y

• 15x + 9 - 12y

• -15x + 9 + 12y

What is the result of adding a negative number?

• It is the same as adding a positive number

• It is the same as subtracting a positive number

• It is the same as multiplying by zero

• It is the same as subtracting a negative number

What is the simplified form of -3(-4y)?

• 4y

• -4y

• 12y

• -12y

In the alternative method, what is the result of -3 times 3?

• 9

• -9

• 3

• -3

What is the first step in applying the distributive property to 2x(3x^2 - y + 1)?

• Add all terms inside the parentheses

• Multiply each term inside the parentheses by 2x

• Subtract the terms inside the parentheses

• Divide each term inside the parentheses by 2x

What is the result of 2x times 3x^2?

• 6x^3

• 3x^2

• 6x^2

• 3x^3

Why can't the terms 6x^3, 2xy, and 2x be combined?

• They are like terms

• They have different coefficients

• They have different variable parts

• They are already simplified

What is the result of 2x times 1?

• 2

• x

• 2x

• 1