Simplifying Expressions and Distributions

This video tutorial teaches how to simplify expressions using distribution and combining like terms. It reviews expressions that can and cannot be simplified, explains how to find the perimeter of a rectangle, and discusses common mistakes in distribution. The tutorial also provides examples of simplifying complex expressions, emphasizing the importance of correctly applying distribution and combining like terms.

What is the first step in simplifying an expression using distribution?

• Combine like terms

• Add all the terms together

• Multiply each term inside the parentheses by the factor outside

• Subtract the terms

Which of the following expressions cannot be simplified further?

• 3x + 7

• 4(x + 2)

• 2x + 3x

• 5x - 2x

How can the expression 4x + 5 + 2x be simplified?

• 4x + 7x

• 6x + 7

• 6x + 5

• 4x + 2x + 5

What is the formula for finding the perimeter of a rectangle?

• 2(Length + Width)

• Length + Width

• Length x Width

• 2(Length) + Width

What is a common mistake when distributing a factor across terms in parentheses?

• Subtracting the factor from each term

• Multiplying only the first term

• Adding the factor to each term

• Ignoring the parentheses

How do you simplify the expression 2(w + 3) + 2w?

• 2w + 6 + 2w

• 4w + 6

• 2w + 3 + 2w

• 4w + 3

What happens when you distribute a negative number across terms in parentheses?

• The signs of the terms are reversed

• The terms remain unchanged

• The terms are divided by the negative number

• The terms are added together

How is the expression 8 - 3(x - 4) simplified?

• 8 + 3x + 12

• 8 - 3x - 12

• 8 - 3x + 12

• 8 + 3x - 12

What is the final simplified form of 8 - 3x + 12?

• 8 - 3x

• 20 + 3x

• 20 - 3x

• 8 + 12 - 3x

What is the result of combining the like terms in the expression 8 + 12?

• 8

• 12

• 20

• 16