Combining Like Terms and Distributive Law

This video tutorial covers the concept of combining like terms in algebra. It begins by defining like and unlike terms, explaining that like terms have identical variable factors. The video then introduces the distributive law, which is used to combine like terms by factoring out common variables. Several examples are provided to illustrate the process of combining like terms, emphasizing the importance of adding coefficients while keeping the variable part unchanged. The tutorial concludes with advanced examples to reinforce the concepts learned.

What are like terms?

• Terms with different variable parts

• Terms with the same coefficients

• Terms with the same variable parts

• Terms with different coefficients

Which of the following pairs are unlike terms?

• 7x and 3x^2

• 5 and 8

• 2y and -4y

• 3x and 5x

What does the distributive law state?

• a * (b + c) = a + b + c

• a * (b + c) = ab + ac

• a + b = b + a

• a * b = b * a

How can you combine like terms using the distributive property?

• By factoring out the common variable part and adding the coefficients

• By adding the coefficients and changing the variable part

• By multiplying the coefficients and the variable part

• By subtracting the coefficients and keeping the variable part

What is the result of combining 5x and 8x?

• 13x

• 3x

• 40x

• 5x + 8x

When combining like terms, what happens to the variable part?

• It changes to match the largest term

• It is removed

• It is multiplied by the coefficients

• It stays the same

What is the simplified form of 21c - 2c?

• -2c

• 21c

• 19c

• 23c

How do you handle subtraction when combining like terms?

• Multiply the terms

• Ignore it

• Divide the terms

• Convert it to addition

What is the result of combining 14xy and 6xy?

• 6xy

• 14xy

• 8xy

• 20xy

Which of the following cannot be combined with 19xy^2?

• 5ac

• 19xy^2

• 6xy

• 14xy