Understanding the Distributive Property

The video tutorial explains how to simplify expressions using the distributive property. It covers several examples, demonstrating how to distribute terms across parentheses and combine like terms. The tutorial emphasizes the importance of keeping track of signs and variables while simplifying expressions. By the end, viewers should understand how to apply the distributive property to eliminate parentheses and simplify expressions effectively.

What is the primary purpose of the distributive property in algebra?

• To divide numbers

• To remove parentheses by distributing multiplication

• To add numbers

• To find the square root

In the expression 44X - (39X + 31), what is the first step to simplify it using the distributive property?

• Distribute -1 through the parentheses

• Divide 44X by 39X

• Add 39X and 31

• Multiply 44X by 39X

After distributing -1 in the expression 44X - (39X + 31), what is the resulting expression?

• 44X + 39X - 31

• 44X - 39X + 31

• 44X - 39X - 31

• 44X + 39X + 31

In the expression 5C + 7D - 8(2C - 5D), what is the result of distributing -8?

• 16C - 40D

• -16C + 40D

• -16C - 40D

• 16C + 40D

What is the simplified form of 5C + 7D - 8(2C - 5D)?

• -11C + 47D

• 11C + 47D

• 11C - 47D

• -11C - 47D

When applying the distributive property twice, what is the first step in the expression 11(4Y - 8) - 7(8 - 2Y)?

• Add 4Y and 8

• Distribute 11 through the first parentheses

• Distribute 7 through the second parentheses

• Subtract 8 from 4Y

What is the result of distributing 11 in the expression 11(4Y - 8)?

• 44Y - 88

• 44Y + 8

• 44Y + 88

• 44Y - 8

In the expression 4(-5X + 4) - (2Y - 3), what is the result of distributing 4?

• 20X - 16

• 20X + 16

• -20X - 16

• -20X + 16

What is the simplified form of 4(-5X + 4) - (2Y - 3)?

• -20X - 2Y + 19

• 20X + 2Y - 19

• -20X + 2Y - 19

• 20X - 2Y + 19

What is the final step in simplifying an expression using the distributive property?

• Multiply all terms by 2

• Add all terms together

• Combine like terms

• Divide all terms by 2