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9-1 Adding and Subtracting Polynomials — Practice Questions

  1. 1. What is the degree of the polynomial $4y^6 - 8y^3 + y - 2$? ___

  2. 2. What is the degree of the term $7x^3y^5$? ___

  3. 3. What is the degree of the polynomial $3x^2y^2 + 5x^4 - 2y^3$?

    • A. 2
    • B. 3
    • C. 4
    • D. 5
  4. 4. Which polynomial is written in standard form?

    • A. $5x + 3x^3 - 9$
    • B. $3x^3 + 5x - 9$
    • C. $-9 + 5x + 3x^3$
    • D. $5x - 9 + 3x^3$
  5. 5. The degree of the constant term $-15$ is ___.

  6. 6. Find the sum of the polynomials: $(4y^2 - 2y + 8) + (2y^2 + 6y - 3)$. The simplified expression is ___.

  7. 7. Find the difference: $(7m^2 + 3m - 5) - (4m^2 - m + 2)$.

    • A. $3m^2 + 4m - 7$
    • B. $3m^2 + 2m - 3$
    • C. $11m^2 + 2m - 3$
    • D. $3m^2 + 2m - 7$
  8. 8. Subtract $(5p^2 - 3pq)$ from $(8p^2 + 2pq)$. The result is ___.

  9. 9. Simplify the expression by combining like terms: $5x^2 - 3x + 4x^2 + 7$.

    • A. $9x^2 - 3x + 7$
    • B. $6x^3 + 7$
    • C. $9x^2 + 4$
    • D. $13x^5$
  10. 10. Find the sum: $(6b^3 + 4b - 1) + (2b^3 - b^2 + 5)$. The result is ___.