Worksheet

Polynomials: name them, then add and subtract

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari copies 6x² onto a sticky note. Is 6x² a monomial, a binomial or a trinomial?

    • binomial
    • trinomial
    • monomial

  2. Luz writes 4x² + 9x − 6 on the board, already in standard form. What is the degree of 4x² + 9x − 6?

  3. Milo writes 6x⁴ − x + 8 on the board, already in standard form. What is the degree of 6x⁴ − x + 8?

  4. Noah writes 3x⁵ + 10 on the board, already in standard form. What is the degree of 3x⁵ + 10?

  5. Pia adds (3x² + 2x + 1) + (x² + 4x + 5) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

  6. Ren adds (2x² + 5x + 3) + (4x² + x + 2) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

  7. Tala adds (x² + 7x) + (2x² + 3x + 4) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

  8. Zee adds (5x² + 2) + (x² + 6x + 1) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

  9. Esme works out (7x² + 5x + 6) − (3x² + 2x + 4) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

  10. Jun works out (9x² + 6x + 5) − (5x² + x + 2) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

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Polynomials: name them, then add and subtract

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Ari copies 6x² onto a sticky note. Is 6x² a monomial, a binomial or a trinomial?

    • binomial
    • trinomial
    • monomial

  2. Luz writes 4x² + 9x − 6 on the board, already in standard form. What is the degree of 4x² + 9x − 6?

    2

  3. Milo writes 6x⁴ − x + 8 on the board, already in standard form. What is the degree of 6x⁴ − x + 8?

    4

  4. Noah writes 3x⁵ + 10 on the board, already in standard form. What is the degree of 3x⁵ + 10?

    5

  5. Pia adds (3x² + 2x + 1) + (x² + 4x + 5) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

    4x^2 + 6x + 6

  6. Ren adds (2x² + 5x + 3) + (4x² + x + 2) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

    6x^2 + 6x + 5

  7. Tala adds (x² + 7x) + (2x² + 3x + 4) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

    3x^2 + 10x + 4

  8. Zee adds (5x² + 2) + (x² + 6x + 1) by gathering x² parts, x parts and numbers. Type x² as x^2. What is the sum in standard form?

    6x^2 + 6x + 3

  9. Esme works out (7x² + 5x + 6) − (3x² + 2x + 4) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

    4x^2 + 3x + 2

  10. Jun works out (9x² + 6x + 5) − (5x² + x + 2) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

    4x^2 + 5x + 3