Adding and Subtracting Polynomials Worksheet
Grade 9 math worksheet on adding and subtracting polynomials, including combining like terms and simplifying expressions.
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Adding and Subtracting Polynomials
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Read each question carefully and show all your work. Simplify all polynomial expressions.
1. Add the following polynomials: (3x² + 4x - 5) + (2x² - 7x + 8)
2. Find the sum of (5a³ - 2a² + a) and (a³ + 6a² - 3a + 10).
3. Subtract the following polynomials: (6y² + 2y - 9) - (4y² - 5y + 3)
4. Subtract (x³ - 3x² + 7) from (2x³ + x² - 4x - 1).
5. Which of the following is the simplified form of (7m + 2n) + (3m - 5n)?
10m + 7n
4m - 3n
10m - 3n
10m - 7n
6. When (5p² - 3pq) is subtracted from (8p² + 2pq), what is the result?
3p² - 5pq
3p² + 5pq
13p² - pq
13p² + pq
7. To add or subtract polynomials, you must combine .
8. When subtracting a polynomial, you must distribute the sign to every term inside the parentheses.
9. Simplify the expression: (4x³ - 2x² + 5x - 1) + (x³ + 3x² - 2x + 6) - (2x³ - x² + 4x - 3)