Distributive Property and Negative Integers

This video tutorial covers the distributive property of multiplication, focusing on both positive and negative integers. It explains how to distribute a number over addition and subtraction, providing examples for each case. The tutorial also delves into distributing negative integers, highlighting the importance of sign management. Finally, it demonstrates how to simplify expressions by distributing and combining like terms, offering step-by-step examples to ensure understanding.

What is the result of applying the distributive property to 5 times the quantity (X + 6)?

• 30X + 5

• 5 + 6X

• 5X + 30

• 5X + 6

What is the distributive property of multiplication over addition?

• A times (B + C) = A times B + A times C

• A times (B + C) = A + B + C

• A times (B + C) = A times B - A times C

• A times (B + C) = B times C + A

When distributing a negative integer over addition, what is the result of -6 times (X + 3)?

• -6X + 3

• -6X - 18

• -6X + 18

• -6 + 3X

How do you simplify the expression -4 times (2X - 9) using the distributive property?

• 8X - 36

• 8X + 36

• -8X - 36

• -8X + 36

How does distributing a negative integer affect the signs in the expression?

• It changes all signs to positive.

• It changes all signs to negative.

• It reverses the signs of the terms inside the parentheses.

• It leaves the signs unchanged.

What is the result of distributing -4 over (2X - 9)?

• 8X + 36

• 8X - 36

• -8X + 36

• -8X - 36

What is the simplified form of 8 plus negative 3 times (4X - 5)?

• 23 + 12X

• 23 - 12X

• -23 - 12X

• -23 + 12X

What is the result of distributing -3 over (4X - 5)?

• -12X + 15

• -12X - 15

• 12X + 15

• 12X - 15

In the expression 12 minus (2X + 5), what is the result after distributing a negative?

• 12 + 2X - 5

• 7 - 2X

• 12 - 2X + 5

• 7 + 2X

What is the simplified form of -1 times (2X + 5)?

• -2X + 5

• 2X - 5

• 2X + 5

• -2X - 5