Distributing and Combining Like Terms Mastery

The video tutorial explains how to simplify expressions by distributing and combining like terms. It provides two examples: the first focuses on basic distribution and combining, while the second involves more complex terms. The tutorial emphasizes identifying what needs to be distributed and ensuring correct multiplication, especially when dealing with negative numbers. It also highlights the importance of combining like terms to achieve a simplified expression.

What is the first step in simplifying expressions that require distribution?

• Identify what needs to be distributed

• Multiply all terms

• Combine like terms

• Add all constants

What is the result of distributing 3 to the terms inside the parentheses in 3(x + 2)?

• 3x + 2

• 3x + 5

• 3x + 6

• 3x + 2 + 5

In the expression 3(x + 2) + 5, why is the 5 not distributed?

• Because it is a constant

• Because it is already simplified

• Because it is not inside the parentheses

• Because it is a variable

After distributing, what is the next step in simplifying the expression 3(x + 2) + 5?

• Multiply all terms

• Divide by the coefficient

• Subtract constants

• Combine like terms

What is the simplified form of 3(x + 2) + 5?

• 3x + 7

• 3x + 5

• 3x + 11

• 3x + 6

In the second example, what number is distributed to the first set of parentheses?

• Negative 1

• 1

• Negative 3

• 3

What does the negative sign in front of the second set of parentheses represent?

• Negative 2

• Negative 1

• Zero

• Positive 1

What is the result of distributing -3 to the terms inside the parentheses in -3(2 + 1)?

• 6 + 3

• 6 - 3

• -6 + 3

• -6 - 3

What is the simplified form of the constants in the second example?

• 7

• 5

• 12

• 9

What is the final simplified form of the expression in the second example?

• -6x + 9

• -7x + 12

• -6x + 12

• -7x + 9