Combining Like Terms and Distributing

The video tutorial covers simplifying complex expressions by applying distribution and combining like terms. It demonstrates solving three problems, each illustrating different aspects of distribution, including handling negative numbers and multiple distributions. The tutorial emphasizes the importance of keeping track of signs and combining like terms to simplify expressions effectively.

What is the first step in simplifying complex expressions?

• Solving for x

• Combining constants

• Applying distribution

• Factoring the expression

When distributing in the expression 5 * (x - 7), what is the result of 5 * -7?

• -35

• -12

• 35

• 12

In the expression 5x - 8x, what is the result of combining like terms?

• -3x

• -13x

• 3x

• 13x

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

• 3x - 35

• -3x + 35

• 3x + 35

• -3x - 35

In the expression -2 * (x + 4), what is the result of -2 * 4?

• 4

• -8

• -4

• 8

What is the result of combining -2x and 24x?

• 22x

• -22x

• 26x

• -26x

What is the final simplified form of the expression -2x + 24x - 8 - 8?

• 22x - 16

• -22x + 16

• 22x + 16

• -22x - 16

What is the result of distributing -2 in the expression -2 * (x + 4)?

• -2x - 8

• 2x + 8

• -2x + 8

• 2x - 8

What is the result of distributing 8 in the expression 8 * (3x - 1)?

• -24x + 8

• 24x - 8

• 24x + 8

• -24x - 8

In the expression -4 * (x + 2), what is the result of -4 * 2?

• -4

• -8

• 4

• 8