The document describes how to add polynomials with and without using algebra tiles. It provides two examples of adding polynomials by representing them with tiles, removing zero pairs, combining like terms, and writing the final answer. It also describes adding polynomials without tiles by identifying like terms, adding those terms, and writing the final answer.

1. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

2. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

3. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

4. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
(𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
2. Add like terms
3. Write the final answer

5. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
(𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
2. Add like terms
3. Write the final answer

6. Example 1: (𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
(𝑥2+𝑥 − 1) + (−2𝑥2 + 𝑥 + 1)
2. Add like terms
3. Write the final answer

7. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

8. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

9. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
2. Add like terms
3. Write the final answer

10. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
2. Add like terms
3. Write the final answer

11. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
2. Add like terms
3. Write the final answer

12. Example 2: 𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
With Algebra Tiles
1. Represent the problem with Tiles
2. Remove zero pairs and combine like terms
3. Write the terms remaining (final answer)
Without Algebra Tiles
1. Identify the like terms (colors help)
𝑥2 + 𝑥 − 3 + (𝑥2 + 2𝑥 + 1)
2. Add like terms
3. Write the final answer