Distributive Property and Simplification

The video tutorial explains the distributive property, which involves multiplying a term outside parentheses with each term inside. It demonstrates this concept with an example, showing how to expand and simplify expressions by distributing terms and combining like terms. The final expression is simplified to show the equivalence of the expanded form.

What does the distributive property allow you to do with a term outside the parentheses?

• Divide it by the terms inside the parentheses

• Add it to the terms inside the parentheses

• Multiply it with each term inside the parentheses

• Subtract it from the terms inside the parentheses

In the expression a(b + c - g), how would you apply the distributive property?

• a * (b + c - g)

• a * b + a * c - a * g

• a + b + c - g

• a + b * c - g

When distributing 3 over the terms inside the parentheses, what is the first step?

• Add 3 to each term

• Multiply 3 by the first term only

• Multiply 3 by each term inside the parentheses

• Subtract 3 from each term

What is the result of distributing 3 over the expression (8b - 10a + 4)?

• 24b - 30a + 12

• 3b - 10a + 4

• 8b - 10a + 4

• 24b + 30a - 12

After distributing and simplifying, what are the like terms in the expression 24b - 30a + 12 - 6?

• 24b and -30a

• -30a and -6

• 12 and -6

• 24b and 12

What is the final simplified form of the expression 24b - 30a + 12 - 6?

• 24b - 30a + 6

• 24b - 30a + 12

• 24b + 30a - 6

• 24b - 30a - 6

Which of the following expressions is equivalent to the expanded and simplified form of 3(8b - 10a + 4) - 6?

• 24b + 30a - 6

• 24b - 30a + 6

• 24b - 30a + 12

• 24b - 30a - 6