Understanding the Distributive Property

The video tutorial explains the distributive property, which involves multiplying a single term across terms inside parentheses, either added or subtracted. It provides several examples, including distributing positive numbers, mixed signs, negative numbers, double negatives, and opposite signs. Each example demonstrates how to distribute the multiplier and simplify the resulting expression, emphasizing the equivalence of adding a negative to subtracting a positive and vice versa.

What does the distributive property allow you to do with expressions involving addition or subtraction?

• Square each term inside the parentheses

• Divide each term inside the parentheses by the factor outside

• Multiply each term inside the parentheses by the factor outside

• Add or subtract terms directly

How do you apply the distributive property to the expression 2(3x + 8)?

• Subtract 8 from 3x, then multiply by 2

• Multiply 2 by 3x and 8 separately

• Add 3x and 8, then multiply by 2

• Divide 3x and 8 by 2

What is the simplified form of 2(3x + 8) after applying the distributive property?

• 5x + 18

• 5x + 16

• 6x + 18

• 6x + 16

When applying the distributive property to 4(6x - 9), what is the first step?

• Subtract 9 from 6x

• Divide 6x and 9 by 4

• Multiply 4 by 6x and 9 separately

• Add 6x and 9

What is the result of distributing 4 in the expression 4(6x - 9)?

• 20x + 36

• 24x - 36

• 20x - 36

• 24x + 36

How do you handle negative numbers when applying the distributive property to -3(2x + 7)?

• Divide each term by -3

• Multiply -3 by each term inside the parentheses

• Add 2x and 7 first

• Ignore the negative sign

What is the simplified form of -3(2x + 7) after distribution?

• 6x - 21

• -6x + 21

• 6x + 21

• -6x - 21

What is the result of distributing -5 in the expression -5(-3x - 6)?

• -15x - 30

• 15x + 30

• -15x + 30

• 15x - 30

How do you interpret the expression -1(-x + 8) using the distributive property?

• Divide each term by -1

• Subtract 8 from x

• Add x and 8

• Multiply -1 by each term inside the parentheses

What is the simplified form of -1(-x + 8) after applying the distributive property?

• x + 8

• -x - 8

• -x + 8

• x - 8