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. 1.

   Bo copies 4x³ − 9 onto a sticky note (the note keeps curling up). Is 4x³ − 9 a monomial, a binomial or a trinomial?

   • trinomial
   • monomial
   • binomial
2. 2.

   Esme copies 8x − 5 onto a sticky note. Is 8x − 5 a monomial, a binomial or a trinomial?

   • binomial
   • monomial
   • trinomial
3. 3.

   Jun copies x² − 3x + 10 onto a sticky note. Is x² − 3x + 10 a monomial, a binomial or a trinomial?

   • trinomial
   • monomial
   • binomial
4. 4.

   Kira writes 5x³ − 7x on the board, already in standard form. What is the degree of 5x³ − 7x?

   3
5. 5.

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

   4
6. 6.

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

   5
7. 7.

   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
8. 8.

   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
9. 9.

   Ari works out (5x² + 4x + 3) − (2x² + x + 1) by first changing every sign in the second bracket. Type x² as x^2. What is the difference in standard form?

   3x^2 + 3x + 2
10. 10.

    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