Adding and Subtracting Polynomials - Grade 10
Practice adding and subtracting polynomials with this worksheet designed for Grade 10 students.
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Standards
Topics
Adding and Subtracting Polynomials
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Read each question carefully and follow the instructions to add or subtract the given polynomials. Show all your work.
1. Add the following polynomials: (5x² + 3x - 7) + (2x² - 4x + 1)
2. Find the sum of (9a³ - 2a² + 6) and (4a³ + 5a - 3).
3. Subtract the second polynomial from the first: (8y² - 6y + 10) - (3y² + 2y - 5)
4. Calculate the difference: (7b⁴ + 2b² - 1) - (b⁴ - 3b² + 8).
5. When adding polynomials, we combine terms.
6. To subtract a polynomial, we add the of each term in the second polynomial.
7. The degree of the polynomial 3x⁵ - 2x² + 7 is .
8. Simplify: (4p² - 3p + 2) + (-p² + 5p - 6)
3p² + 2p - 4
5p² - 8p + 8
3p² - 2p - 4
3p² + 2p + 4
9. Which expression is equivalent to (10m³ - 4m + 7) - (3m³ + 2m - 1)?
7m³ - 6m + 8
7m³ - 2m + 6
7m³ - 6m + 6
13m³ - 2m + 8
10. The expression 2x + 5y - 3 is a trinomial.
True
False
11. (x² + 4x) - (x² - 2x) = 2x.
True
False
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