Distributive Property and Combining Like Terms

The video tutorial explains how to simplify an algebraic expression using the distributive property and combining like terms. It starts by introducing the expression and then applies the distributive property to multiply terms inside the parentheses. Finally, it groups like terms to achieve the simplified expression.

What is the first step in simplifying the expression 3 * 3x + 5 - 7x - 8?

• Multiply 3 by each term inside the parentheses

• Solve for x

• Add all the constants together

• Combine like terms immediately

When applying the distributive property, what is the result of multiplying 3 by 3x?

• 9x

• 12x

• 6x

• 3x

After applying the distributive property, what is the expression before combining like terms?

• 3x + 15 - 7x - 8

• 9x + 5 - 7x - 8

• 3x + 5 - 7x - 8

• 9x + 15 - 7x - 8

What is the result of combining the like terms 9x and -7x?

• 12x

• 2x

• 16x

• 0x

What is the result of combining the constants 15 and -8?

• 23

• 8

• 7

• 6

What is the final simplified form of the expression 3 * 3x + 5 - 7x - 8?

• 9x - 7

• 2x - 7

• 9x + 7

• 2x + 7