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Adding Polynomials Practice
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Adding Polynomials Practice
📚 Part 1: Basic Addition
Instructions: Add the following polynomials. Show your work by combining like terms.
1. (3x + 5) + (2x + 7)
2. (4x² + 3x - 1) + (2x² - 5x + 6)
3. (7y - 4) + (3y + 9)
4. (x² + 2x + 3) + (3x² - x - 2)
🔢 Part 2: Multiple Choice
5. What is the sum of (2x² + 3x + 1) + (x² - 2x + 4)?
3x² + x + 5
2x² + 5x + 5
3x² + 5x + 3
x² + x + 5
6. Which expression equals (5a² - 3a + 2) + (2a² + 4a - 1)?
7a² + a + 1
7a² - 7a + 3
3a² + a + 1
7a² + 7a + 1
7. What is (3m³ + 2m - 5) + (m³ - 4m + 3)?
4m³ - 2m - 2
4m³ + 6m - 8
2m³ - 2m - 2
4m³ - 2m + 8
✏️ Part 3: Word Problems & Extended Practice
8. A rectangle has a length of (2x + 3) units and a width of (x + 5) units. Another rectangle has a length of (x + 1) units and a width of (3x + 2) units. Write and simplify an expression for the sum of their perimeters.
9. Add the three polynomials: (x² + 2x + 1) + (2x² - 3x + 4) + (x² + x - 2)
10. Explain in your own words how to add polynomials. What is the key rule to remember?
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