Distributing and Combining Like Terms in Algebra

This video tutorial covers the use of the distributive property and combining like terms to simplify mathematical expressions. It emphasizes the importance of recognizing negative signs during distribution and provides several examples and practice problems to reinforce these concepts. The tutorial aims to make complex expressions easier to understand and solve.

What is the first step in simplifying expressions using the distributive property?

• Combine like terms

• Subtract the variables

• Multiply the outer term by each term inside the parentheses

• Add the constants

How do you combine like terms in an expression?

• Subtract the constants from each other

• Add the coefficients of the variables

• Divide the largest term by the smallest term

• Multiply the variables together

What result do you get when you distribute 3 over (5n - 11)?

• 8n + 22

• 15n + 22

• 15n - 33

• 8n - 33

What does a minus sign outside the parentheses indicate when distributing?

• Add instead of multiply

• Multiply by a negative number

• Multiply by a positive number

• Ignore the minus sign

What is the simplified form of 23y - 24y + 8?

• 47y

• -1y + 8

• y + 8

• -y + 8

What does distributing a negative number across terms change in the expression?

• The sign of the variables

• The coefficients of the variables

• The sign of the constants

• All of the above

After distributing and combining like terms, what is the simplified form of 7(3w - 10) + 6(6w + 1)?

• 57w - 64

• 13w - 9

• 42w - 70

• 36w + 6

In the expression 5(-8p + 6) + 9, what is the coefficient of p in the simplified form?

• -40

• 5

• -8

• 30

What is the simplified form of the expression 9m - 27 + 2(-10 + 7x)?

• 9m + 14x - 47

• 23m - 47

• 23x - 27

• 11m - 20

When simplifying the expression -10(8k - 1 + 2) + 5(-k), what is the coefficient of k?

• 58

• -40

• 40

• -58