Adding Polynomials with Algebra Tiles

Mr. Baron introduces the use of algebra tiles to add polynomials, explaining how to represent polynomials with tiles and the concepts of like and unlike terms. He discusses zero pairs, which are opposite terms that cancel each other out, and demonstrates solving polynomial addition problems using these concepts. The video provides a practical approach to understanding algebraic expressions through visual representation.

What is the first step in adding polynomials using algebra tiles?

• Combine like terms directly.

• Subtract the polynomials.

• Multiply the polynomials.

• Represent each polynomial with algebra tiles.

Which of the following is an example of like terms?

• 3 and x

• 2x and 3x

• 3 and x^2

• x and x^2

What are unlike terms?

• Terms that are coefficients.

• Terms that have the same variable.

• Terms that are constants.

• Terms that have different variables or powers.

What is a zero pair in the context of algebra tiles?

• Two like terms that add up to a positive number.

• Two unlike terms that multiply to zero.

• Two like terms that cancel each other out.

• Two unlike terms that add up to a negative number.

What happens when you combine a zero pair?

• They multiply to zero.

• They cancel each other out.

• They add up to a negative number.

• They add up to a positive number.

In the first example, what is the resulting polynomial after combining like terms and eliminating zero pairs?

• 2x^2 + 5x - 2

• 2x^2 + 3x + 1

• x^2 + 5x - 2

• x^2 + 3x - 1

What is the first step in the second example of adding polynomials?

• Represent each polynomial with algebra tiles.

• Multiply the polynomials.

• Combine like terms directly.

• Subtract the polynomials.

In the second example, what is the resulting polynomial after combining like terms and eliminating zero pairs?

• 5x^2 - 2

• 5x^2 + 2x - 5

• 3x^2 + 2x - 5

• 2x^2 - 2x + 3

Why is there no need to write 0x in the final polynomial?

• Because it is redundant.

• Because it is incorrect.

• Because it is unnecessary.

• Because it simplifies the expression.

What should you do if you need more complicated examples of adding polynomials with algebra tiles?

• Watch the video again.

• Ask the teacher for more examples.

• Practice on your own.

• Request additional problems from the instructor.